NUMERICAL SIMULATION AND ANALYSIS ON THE HEMODYNAMICS OF AN ELASTIC ANEURYSM
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numerical analysis methodNumerical analysis methods are techniques used to approximate the solutions of mathematical problems that cannot be solved analytically. These methods involve the use of numerical algorithms and computers to obtain approximate solutions. Here are some common numerical analysis methods:1.Interpolation:Interpolation is a method used to estimate the value of a function at a point based on the known values of the function at other points. There are various types of interpolation, such as linear interpolation, polynomial interpolation, and spline interpolation.2.Integration:Integration is the process of calculating the area under a curve. Numerical integration methodsapproximate the integral by dividing the region into small subintervals and calculating the area of each subinterval.3 Differentiation:Differentiation is the process of calculating the slope ofa curve at a point. Numerical differentiation methodsapproximate the derivative by calculating the slope of the line connecting two points on the curve.4.ODEs and PDEs:Ordinary differential equations (ODEs) and partial differential equations (PDEs) are equations that describe the evolution of a system over time or in multiple dimensions. Numerical methods are used to solve these equations, such as Euler's method, Runge-Kutta method, and finite element method.5.Simulation:Simulation is a technique used to model the behavior of a system or process. Numerical simulation methods use mathematical models and numerical algorithms to simulate the behavior of the system and predict its output.6Optimization:Optimization is the process of finding the best solution to a problem. Numerical optimization methods use algorithms such as gradient descent, Newton's method, and genetic algorithms to find the最优 solution.These are just some examples of numerical analysis methods. Numerical analysis is a broad field that encompasses many other techniques and applications. The choice of numerical method depends on the specific problem being solved and the desiredaccuracy and efficiency of the solution.。
972023年·第4期·总第205期基于CFD的直接进气系统在船舶上的研究与应用冯树才 曲东旭 陈彦臻 李 智(中国船舶及海洋工程设计研究院 上海 200011)摘 要:…为进一步降低船舶能耗,该文以某大型散货船为研究对象,提出直接进气系统的设计方案。
基于计算流体力学(computational…fluid…dynamics,…CFD)数值模拟法,对设计的合理性进行分析,并对直接进气系统在实船上的应用进行探讨。
理论分析与实船验证结果表明:进气风道内流速与设计流速相符,直接进气系统总阻力远低于许用限制值,通过增压器的自吸能力可直接吸入舷外空气,系统设计合理;应用该系统后,主机、辅机油耗降低,机舱风机运行总能耗降低50%,初始投资回收周期短,可降低船舶运营成本。
关键词:直接进气系统;计算流体力学;数值模拟;实船应用;船舶运营成本中图分类号:U664.86………文献标志码:A………DOI :10.19423/ki.31-1561/u.2023.04.097Research and Application of Direct Air Intake System on ShipsBased on Computational Fluid DynamicsFENG Shucai QU Dongxu CHEN Yanzhen LI Zhi(Marine Design & Research Institute of China, Shanghai 200011, China)Abstract: A design scheme of the direct air intake system of a large bulk carrier is proposed in order to reduce the energy consumption of the ship. The rationality of the design is analyzed by numerical simulation based on the computational fluid dynamics (CFD). And the application of the direct air intake system on the ship is also discussed. Theoretical analysis and ship trial show that the flow velocity in the intake duct is consistent with the designed flow velocity, and the total resistance of the direct intake system is much lower than the allowable limit value. The outboard air can be directly inhaled through the self-absorption capacity of the turbocharger, and the system design is reasonable. By applying this system, the fuel consumption of the main engine and auxiliary engine is reduced, the total energy consumption of the fan in the engine room is reduced by 50%, and the initial investment recovery cycle is short with reduced cost of ship operation.Keywords:…direct air intake system; computational fluid dynamics(CFD); numerical simulation; real ship application; ship operating costs收稿日期:2023-05-08;修回日期:2023-06-15作者简介:冯树才(1981-),男,本科,高级工程师。
姓名:毕继红性别:女出生年月: 1965年10月籍贯:江苏省职称:教授,博导专业:结构工程EMAIL:jihongbi@单位:建工学院,土木系研究方向1:纤维混凝土的力学性能研究方向2:桥梁抗震讲授课程:工程弹塑性力学、结构力学合作项目:(1)1994年-1996年,天津市自然基金项目:大跨度空间结构的非线性分析。
(2) 1995年-1997年,天津市青年基金项目:地下工程结构的非线性分析。
(3) 1998年-1999年,与中铁电气化工程局的合作项目:接触网结构及零部件有限元分析与图形绘制系统。
(4) 2001年,天津市自然基金项目:天津市地铁工程中工程结构的抗震分析。
(5) 2003年,与中铁电气化工程局的合作项目:广州地铁接触网零部件有限元分析。
(6)2005年,与中铁十八局合作项目:特大断面洞室多层耦合法的可行性研究及数值模拟分析。
此项目获天津市科技进步二等奖。
(7)2006年,与中铁十八局合作项目:大跨深水桥梁基础施工的动态模拟技术研究。
(8) 2006年,与中铁电气化工程局的合作项目:刚性悬挂接触网动力学研究。
(9)2007年,与中铁十六局合作项目:葵形拱桥的裂缝控制与落架技术的仿真分析。
(10) 2008年, 与中铁电气化工程局的合作项目:接触网系统动力学仿真与疲劳寿命研究。
(11) 2011年,负责项目:大跨桥梁中拉索风雨激振的机理及减震措施研究。
(12)2014年,负责项目:纤维混凝土的力学性能研究。
代表著作(1)毕继红,严宗达,均布荷载下钢筋混凝土梁的抗震性能的研究,应用力学学报,1997,10(2)石朝花,毕继红,Gurtin变分原理在矩形板动力初值问题中的应用,应用力学学报,Vol.17,No.2,2000(3)BI Ji-hong,CONG Rong,ZHANG Li-hua,Analysis of Second-Ordor Effect in Frame,TRANSACTIONS OF TIANJIN UNIVERSITY,Vol.10,No.1,2004(4)张鸿,毕继红,张伟,地铁隧道地震反应非线性分析,地震工程与工程振动,Vol.24,No.6,2004 (5)毕继红,江志峰,常斌,近距离地铁施工的有限元数值模拟,岩土力学,Vol.26,No.2,2005(6)毕继红,张鸿,邓彭,基于耦合分析法的地铁隧道抗震研究,岩土力学,Vol.24,No.5,2003(7)毕继红,钟建辉,丛容,浅埋洞室围岩压力有限元分析,铁道工程学报, No.4,2004(8)毕继红,丛容,各种形状洞室的围岩压力分析,地下空间,Vol.24,No.1,2004(9)毕继红,郭淑卿,李忠献,采用复合样条有限元方法求解板的动力初值问题,地震工程与工程振动,Vol.22,No.6,2002(10)毕继红,杜玉东,大型地下洞室多层耦合应力超前解除法施工数值模拟,铁道工程学报,Vol.91.No 1,2006(11)毕继红,吴丽艳,列车荷载对桥梁及桩基下边坡的动力作用,岩土工程学报,Vol.27.No.12.2005 (12)张鸿,毕继红,张伟,地铁隧道地震反应非线性分析,地震工程与工程振动,Vol.24,No.6,2004 (13)毕继红,张鹏飞,大型地下洞室施工过程中的可靠性分析,岩土力学,2007年11月(14)毕继红,刚性悬挂接触网弓网耦合仿真研究,低温建筑技术,2007,2(15)毕继红,张峰,刚性悬挂接触网受电弓系统动力分析,沈阳理工大学学报,Vol.26,No.4,2007 (16)毕继红,王青太,尹元彪,拉索风雨激振机理及减振措施的研究,工程力学,Vol.27,No.12,2010(17) 毕继红,任洪鹏,尹元彪,预应力钢筋混凝土风力发电塔架的地震响应分析,天津大学学报,Vol.44 No.2,2011(18) 毕继红,张华,任洪鹏,混凝土保护层锈胀裂缝扩展的仿真分析,Vol.33,No5,2011(19) 毕继红,任洪鹏,丁代伟,于会超, 串列双圆柱静止绕流的二维数值仿真分析,工程力学,2012,6 (20)毕继红,刘筠,任洪鹏,重复反射理论在计算地表面地震波时的应用,地球物理学进展,2012,10 (21) Bi Jihong, Wang Jian, Shao Qian. 2D numerical analysis on evolution of water film and cable Vibration response subject to wind and rain. Journal of Wind Engineering and Industrial Aerodynamics,2013(22) Bi Jihong, Lu Peng, Wang Jian. Numerical simulation and analysis of the effects of water-film Morphological changes on the aerodynamic lift of stay cables. Journal of Fluids and Structures,2014(23) 毕继红,王剑,逯鹏,不同风速下拉索表面水线的形成,Vol.47,No7,2014(24) 毕继红,关健,王剑,钢筋混凝土结构非线性行为的优化计算方法及应用, Vol.32, 2015。
ResearchRail Transit—ArticleNumerical and Experimental Study on Ventilation Panel Models in a Subway PassengerCompartmentYu Tao a ,Mingzhi Yang a ,b ,Bosen Qian a ,b ,Fan Wu a ,b ,Tiantian Wang a ,b ,⇑a Key Laboratory of Traffic Safety on Track,Ministry of Education,School of Traffic and Transportation Engineering,Central South University,Changsha 410075,China bJoint International Research Laboratory of Key Technologies for Rail Traffic Safety,Changsha 410075,Chinaa r t i c l e i n f o Article history:Received 11October 2018Revised 27November 2018Accepted 29December 2018Available online 2March 2019Keywords:Numerical simulation ExperimentVentilation panel model Subwaya b s t r a c tThe internal flow field study of car compartments is an important step in railroad vehicle design and opti-mization.The flow field profile has a significant impact on the temperature distribution and passenger comfort level.Experimental studies on flow field can yield accurate results but carry a high time and computational cost.In contrast,the numerical simulation method can yield an internal flow field profile in less time than an experimental study.This study aims to improve the computational efficiency of numerical simulation by adapting two simplified models—the porous media model and the porous jump face model—to study the internal flow field of a railroad car compartment.The results provided by both simplified models are compared with the original numerical simulation model and with experimental data.Based on the results,the porous media model has a better agreement with the original model and with the experimental results.The flow field parameters (temperature and velocity)of the porous media model have relatively small numerical errors,with a maximum numerical error of 4.7%.The dif-ference between the numerical results of the original model and those of the porous media model is less than 1%.By replacing the original numerical simulation model with the porous media model,the flow field of subway car compartments can be calculated with a reduction of about 25%in computing resources,while maintaining good accuracy.Ó2019THE AUTHORS.Published by Elsevier LTD on behalf of Chinese Academy of Engineering and Higher Education Press Limited Company.This is an open access article under the CC BY-NC-ND license(/licenses/by-nc-nd/4.0/).1.IntroductionDuring subway operation,the air temperature inside subway compartments should be kept within a specified range.This climate-control process is realized through a heating,ventilation,and air conditioning (HVAC)system,through which air is exchanged across the boundaries of the chamber via mechanical ventilation [1].Existing studies on the performance of an HVAC system in a closed chamber have mainly focused on buildings,airplanes,and vehicles.A steady airflow field was first simulated,and was then compared with experimental data [1].Dehghan and Abdolzadeh [2],Zhuang et al.[3],and Pang et al.[4]simulated the air flow in a room and in a civil aircraft cabin using a three-dimensional (3D)model with a thermal manikin.The fluid flow was simulated by the steady Reynolds-averaged Navier–Stokes (RANS)equations with a v 2-f turbulence model and the re-normalization group (RNG)k -e turbulence model,respectively.As the air-flow and temperature fields inside the cabin are in fact unsteady,the unsteady RANS (URANS)equation is used for internal flow simulation.The standard k -e turbulence model [5,6]and the RNG k -e turbulence model [7,8]are widely used for simulating the turbulent flow field inside a chamber.Existing studies on railroad vehicle HVAC systems have mainly focused on the HVAC system parameters and vehicle structures.Dullinger et al.[9]invented a simulation approach that combines the HVAC system with a dynamic thermal vehicle model and includes operational and weather inputs.Hofstädter et al.[10]and Luger et al.[11]studied dynamic thermal models of railroad vehicles and the operating conditions of HVAC systems.Their results show that the parameters of the HVAC system and the vehi-cle structures strongly influence the thermal comfort and air-supply uniformity in subway passenger compartments.Schmeling and Bosbach [12]and Li and Sun [13]investigated the dynamic cooling load and ventilation efficiency of metro and railway cars through numerical simulation.They concluded that the cooling performance is limited by the rate of fresh air available through the fresh air.Liu et al.[14]discussed the effects of ambient⇑Corresponding author.E-mail address:wangtiantian@ (T.Wang).conditions and human thermal emission based on different cooling loads,and provided a solid basis for the determination of cooling load for trains traveling in different regions and over various peri-ods of time.Suárez et al.[15]investigated the air distribution in a representative railway vehicle equipped with an HVAC system.The heat transfer of the wall and the heat load of passengers were both considered in their study.Wang et al.[16]investigated the perfor-mance evaluation of air-distribution systems in three different China railway high-speed train cabins using numerical simulation. Aliahmadipour et al.[17]proposed compartment modifications for passenger coaches,which can lead to better thermal conditions for the passengers seated or sleeping in the compartment.Ventilation panels are commonly installed at the air inlet of a passenger compartment for betterflow uniformity.Each ventila-tion panel is composed of a block with a large number of small ventilation holes assembled in a matrix form.In a numerical sim-ulation,these small ventilation holes require a small-scale mesh treatment.Thus,the small elements near the ventilation panel will significantly increase the computational cost.In this study,two simplified models are proposed to improve the numerical simula-tion efficiency.The results given by the simplified models are then validated by a full-scale(original)simulation model as well as by experimental measurement results.One of the simplified models can reduce the computation time in a numerical simulation with a minor compromise in terms of the accuracy of the results.The model proposed in this work can serve as a convenient tool in future studies on internalflowfields and temperature profiles of subway passenger compartments.2.Numerical simulation2.1.Geometric modelA specific type of subway middle car was adopted for the cur-rent study that includes a passenger compartment,two passage-ways,an HVAC system,and an air-duct system.Fig.1provides a geometric model of the subway car.The height and width of the subway middle car are defined as H and W,respectively.L1is the length of passenger compartment and L2is the length of one pas-sageway.The two air conditioners of the HVAC system are set at the top of the passenger compartment,and each of the air condi-tioners has two outlets and one inlet.For numerical simulation of the air conditioner,a method using the velocity inlet and the outlet boundary condition was adopted instead of the real model. The red-dotted boxes in Fig.1(a)represent the position of the air conditioners.The air-duct system consists of supply,recirculated, and exhaust air ducts.Fresh air from the air conditioner outlet enters the passenger compartment through the supply air duct. Air in the passenger compartmentflows to the air conditioner through the recirculated air duct,and then passes out to the atmo-sphere through the exhaust air duct.The green part of thefigure represents the supply air duct,which is symmetrical around the central axis.The units of the supply air duct on the same side are inter-connected,and the air inlets of the passenger compartment are set at the top and side along the direction of the subway car length.The red and yellow parts of thefigure represent the recir-culated and exhaust air ducts,respectively.The purple part of thefigure represents the seats;four groups of seats are symmetri-cally set around the central axis.As the seats are next to the sub-way car surface,they are treated as the surface boundary for the numerical simulation.For analysis,the front and back of the pas-senger compartment are defined as End I and End II,as shown in Fig.1(a).Fig.2shows a cross-section of the supply air duct.The duct is set on top of the passenger compartment and consists offive parts (1–5in Fig.2).The height of thefive parts(1–5)are defined as D Z1, D Z2,D Z3,and D Z4,respectively.Part6represents the passenger compartment,with the typical connection faces of each part defined as A–D.Part1connects the air conditioner and part2—that is,the bulge of the green part in Fig.1.Part1is located at the posi-tion of the air conditioner,instead of along the whole length of the subway car.Parts2,3,and5are channels that are distributed along the entire length of the subway car.Fresh air is sent into the pas-senger compartment through these channels.The inside of part2contains a baffle that provides airflow to both sides,and the vents on both sides are labeled as the connec-tion face B,as shown in Fig.3(a).Part4in thisfigure represents a square channel connecting parts3and5.As can be observed in Fig.2,parts2and3are located outside of the passenger compart-ment,while part5is located inside.Fresh air is sent into part1 through face A;it thenflows in the direction of the arrow,and is sent into the passenger compartment through upper(D2and D3) and lateral(D1and D4)ventilation panels.The ventilation panel shown in Fig.3is used to ensure air-supply uniformity along the length of the subway car.Based on the engi-neering requirements,two kinds of ventilation panel are adopted for the upper and lateral sides,as shown in Figs.3(b)and(c).The thickness of the upper ventilation panel is2mm,and the ventila-tion hole is a circle with a radius of2.5mm and a porosity rate of 0.087.The thickness of the lateral ventilation panel is4mm and the ventilation hole is43mm long and7mm wide,with a porosity rate of0.257.2.2.Mesh and boundary conditionsAn unstructured grid was selected for the numerical simulation. The mesh density around the supply air duct and passenger compartment surface is high.Thefirst layer of the boundary grid around the compartment surface is3mm.and the totalgrid Fig.1.A geometric model of the subway car.(a)Dimensional drawing;(b)schematic.330Y.Tao et al./Engineering5(2019)329–336number is0.11billion.The local surface mesh is shown in Fig.4.The internalflowfield of a subway car is turbulent.The k-e turbu-lence model is commonly used to compute turbulentflow,and they+(the dimensionlessfirst-cell spacing y+=yÁu tÁgÀ1,where y is the thickness of thefirst-cell near the wall,u t is the friction velocityand g is the kinetic viscosity)range for turbulence models in this process must be30–100.The average y+of the mesh constructed in this simulation is about33,and thus meets the range require-ments.In order to ensure that the mesh has no effect on the numerical calculation results when using the porous media model and the porous jump surface model(described in Section3),only the grid of the ventilation panel area is changed;the grids of the other regions remain unchanged.Thus,the mesh of the two models satisfy the requirement of y+value.The boundary conditions set in this manuscript are as follows:(1)The air conditioner outlet,recirculated air-duct inlet,andexhaust air-duct inlet are set as the massflow inlet boundaryconditions.When the value of the massflow is negative,airflows outside of the computational domain.Theflow rates of supply, recirculated,and exhaust air are10000m3ÁhÀ1,À6800m3ÁhÀ1, andÀ3200m3ÁhÀ1,respectively.According to the area of the corre-sponding inlets and outlets,the velocities of supply,recirculated, and exhaust air are5.261mÁsÀ1,À1.937mÁsÀ1,andÀ3.922mÁsÀ1, respectively.(2)The passenger compartment surface is set as the heat-flux wall boundary condition,with a heat-transfer coefficient of 2.5WÁ(m2ÁK)À1,defined as the K value.A definition for‘‘K value”can be found in Ref.[18].(3)All surfaces are set as no-slip wall boundary conditions.(4)This study examines full-passenger working conditions in summer.That is to say,it is assumed that there are310passengers in the compartment.And the outside temperature is set at a con-stant33°C.Due to the considerable amount of thermal energy pro-duced by a human,human heat sources are considered in the numerical simulation.The human heat sources are set as120W per person,according to the European standard EN14750[19], Fig.4.The local surface mesh.(a)Air conditioner;(b)upper ventilationpanel.Fig.2.A cross-section of the supply airduct.Fig.3.The model schematic.(a)Model of part2in Fig.2;(b)upper ventilation panel model;(c)lateral ventilation panel model.Y.Tao et al./Engineering5(2019)329–336331and are loaded as volumetric sources into the correspondinghuman-activity area of the computational domain.The volumetricheat source is set as294.5WÁmÀ3.As the passenger compartmentcontains a large number of heat sources(i.e.,humans),the fresh airtemperature is set at13°C.(5)Three types of ventilation panel model for the numericalsimulation are tested in this study:the original model,porousmedia model,and porous jump face model.Detailed informationis provided in Section3.2.3.Measurement pointAn experiment involving a real train compartment was also car-ried out in this study.The positions of the measurement points(theblack and red points in Fig.5)were set based on the European stan-dard EN14750.The velocity and temperature of the air at eachmeasurement point were tested.According to the standard,theaverage velocity and temperature at nine horizontal measurementpoints(points1–9)was defined as the average velocity and tem-perature of the air in the passenger compartment(v a and T a).The maximum differences were defined as the horizontal velocityand temperature difference(v x and T x).The maximum differences in the velocity and temperature at nine vertical measurement points(points2,5,8,and10–15)were defined as the vertical velocity and temperature differences(v z and T z).The coordinate value of the position along the X-axis,Y-axis,and Z-axis are defined as X,Y,and Z,respectively.2.4.Numerical methodIn this paper,numerical simulations of the internalflowfield of a subway middle car were conducted using ANSYS Fluent,which is afinite-volume-method-based solver.The URANS method and the RNG k-e turbulence model were selected for the numerical simula-tion;their governing equations can be found in Refs.[20]and[21]. As the air velocity in a passenger compartment is relatively slow, the air was assumed to be incompressible.As the heat transfer of the internalflowfield occurs within a closed chamber,the Boussi-nesq hypothesis was employed to address the thermal buoyancy flow[22–24].The definition of this hypothesis is provided in Refs.[25]and[26].3.Ventilation panel modelThree types of ventilation panel model were selected for numerical simulation in this study.The numerical simulation model based on the actual dimensions of the ventilation panel was defined as the‘‘original model.”As the original model requires a great deal of computational power for numerical simulation,the porous media model and porous jump face model have been widely used for numerical simulation of the internalflowfield [27,28].The present study focuses on the numerical simulation of an internalflowfield using the proposed ventilation panel models.For the porous media model,the ventilation panel is defined as a unit body.Given the porous media parameters,the pressure loss of the airflowing through the ventilation panel can be obtained,as shown in Eq.(1)[29]:D p¼12C2ÁqÁD nÁv2þlaÁD nÁvð1Þwhere D p represents the pressure loss(Pa);l represents the aero-dynamic viscosity,set as1.8Â10À5PaÁs in this study;v represents the air velocity(mÁsÀ1);C2represents the inertia resistance coeffi-cient(mÀ1);a represents the surface permeability(m2);q repre-sents the air density,set as1.225kgÁmÀ3;and D n represents the thickness of the ventilation panel,set as2and4mm for the upper and lateral panels,respectively.The porous jump face model can be regarded as a one-dimensional(1D)simplification of the porous media model.The ventilation panel is defined as a unit surface,and Eq.(1)can be applied in the same way.The pressure loss of the upper and lateral ventilation panels at different air velocities was obtained by means of experiments in this study.An experiment on ventilation panels was carried out at the Central South University model test platform in China,which has obtained China Metrology Accreditation(CMA)qualification (certificate number2014002479K).More detailed information about the platform is provided in Refs.[30]and[31].The air veloc-ities were1,2,3,4,and5mÁsÀ1.The experimental model was con-structed according to the actual size of the ventilation panel,as shown in Fig.6(a).A Honeywell DC030NDC4pressure sensor was selected for pressure measurement,as shown in Fig.6(b).The sam-pling frequency of the sensors was1kHz in this set of tests,and the measurement accuracy was0.01Pa.For velocity measurement,a TSI9525anemometer with a hot-wire wind-speed probe was adopted,with a measurement accuracy of0.01mÁsÀ1.Before each test,every sensor had to be recalibrated and calibrated.The error of the loading test was within0.2%,which is considered to meet the test accuracy requirements.Each case was repeatedfive times, and the acceptability in terms of air velocity was examined.Tests that did not meet the required accuracy of±0.2%of the target air velocity were discarded.The average of the data from thefive tests was defined as the experimental results.Table1shows the exper-imental results for ventilation panel pressure loss.In this table,v and D p are the same variables as in Eq.(1),and‘‘upper”and‘‘lat-eral”represent the upper and lateral ventilation panels.Table2 provides thefitting equations andfitting goodness of the ventila-tion panel pressure loss based on the experimental results.In this table,R2represents thefitting measure cofficients.Introducing the constants into the coefficients in Table2yields the porous media parameters1/a and C2of the ventilation panel,as shown in Table3.Fig.5.A dimensional drawing of the measurement points within the real-life railway car under testing.(a)Top view;(b)front view.332Y.Tao et al./Engineering5(2019)329–336In the numerical simulation,the porous media model of the ventilation panel was set using the porous cell zone condition in ANSYS Fluent,and the porous jump face model was set using the porous jump boundary condition.For the numerical simulation of the internal flow field of a subway car using these two models,the porous media parameters 1/a and C 2and the porosity rate are required.In the porous media model,the ventilation panel zone was defined as the ‘‘porous zone”in the ‘‘cell zone conditions”sec-tion.For the porous jump face model,the face of the ventilation panel was selected as the ‘‘porous jump”in the ‘‘boundary condi-tions”section,and the thickness of the ventilation panel,D n ,was entered.4.Experimental verification and analysisThree ventilation panel models were applied for comparison in this study.The numerical results were compared with data from a real-life experiment with the middle car of a subway train.The model that was able to effectively perform numerical simulation of the internal flow field of the subway car using the least compu-tational power was then identified.4.1.Real subway car experimentAn experiment using the middle car of a subway train was car-ried out at the Central South University model test platform in China.(Detailed information about the platform can be found inRefs.[30,31].)The real subway car used for the experiment had the dimensions shown in Fig.1(a).Four XFH air conditioners from Yuete Ventilation Equipment Co.were selected,with each being able to produce a 2500m 3Áh À1flow rate of 13°C fresh air.There were four air inlets in the supply air duct,with one air conditioner corresponding to each.The fresh air produced from the air condi-tioners passed into the supply air duct directly.The recirculation and exhaust air ducts were not set up as a part of this experiment;instead,a ventilator was set at each recirculated and exhaust air outlet of the passenger compartment.The flow rates of each recir-culation and exhaust ventilator were 3400and 533m 3Áh À1,respec-tively.A full-passenger working condition was simulated by the use of 310heating coils,each with 120W heating power.All the heating coils are uniformly placed on the floor of the passenger compartment.After the air conditioners and the heating coils had operated for about 30min,the relevant flow field parameters in the passenger compartment were measured.At this time,the flow field structure and temperature in the passenger compartment can be expected to be stable,so these conditions could effectively sim-ulate actual full-passenger working conditions in summer.The pressure change in the passenger compartment was rela-tively small,and the pressure difference of the 1.1m height hori-zontal plane (Z =1.1m)was less than 1Pa.Thus,the pressure of the measurement points was not considered.The air velocity and temperature of the measurement points were obtained.The air velocity sensor was the same as that used in the ventilation panel model experiment.For temperature measurement,an AI5600hand-held high-precision thermometer was adopted with a mea-surement accuracy of 0.01°C.(The positions of the measurement points were given in Section 2.3.)4.2.Experimental verificationTable 4provides a comparison between the numerical simula-tion of the original model,porous media model,and porous jump face model with the experimental data obtained from the middle car of a subway train.As can be observed from Table 4,the flow field parameters of the original model have the lowest numerical error,with each numerical error of the flow field parameter being less than4%.Fig.6.Experimental model and sensor.(a)Ventilation panel model;(b)pressure sensor.Table 1Experimental results for ventilation panel pressure loss at different air velocities.LocationD p (Pa)1m Ás À12m Ás À13m Ás À14m Ás À15m Ás À1Upper 183.54734.071651.602936.134587.65Lateral 7.8630.7068.52121.33189.13Table 2Fitting equations and fitting goodness of ventilation panel pressure loss.Location EquationR 2Upper D p =183.5v 2+0.03622v 1.000LateralD p =7.492v 2+0.3646v1.000Table 3Porous media parameters of the ventilation panel.Location C 2(m À1)1/a (m À2)Upper 1497951005556Lateral30585063889Y.Tao et al./Engineering 5(2019)329–336333The original model was built strictly based on the geometry of the ventilation panel.As a result,the numerical simulation result of the original model shows that the turbulence model and mesh selected in this study can effectively predict the internalflowfield of a subway compartment.In other words,the simulation approach is validated by the experimental data.The numerical simulation results of the porous jump face model in Table4differ significantly from the experimental data,and the numerical errors of someflowfield parameters are over8%.There-fore,the porous jump face model cannot be used for the numerical simulation of the internalflowfield of a subway car.Theflowfield parameters of the porous media model have relatively small numerical errors,with a maximum numerical error of4.71%,which meets the engineering requirements.The difference between the numerical results of the original model and those of the porous media model is less than1%.Furthermore,in comparison with the original model,the porous media model provides a large reduc-tion in computational power.Thus,in engineering applications,the porous media model could be used to replace the original model for the numerical simulation of the internalflowfield of a subway car.4.3.Internalflowfield analysisA comparison of the numerical simulation results of the porous media model with those of the original model can further illustrate the feasibility of replacing the original model with the porous media model.In the real subway car experiment,15measurement points were chosen,based on the European standard EN14750,as shown in Fig.5.These points were separated into two groups:a horizontal group and a vertical group.Each group corresponds to a plane.As a result,the 1.1m height horizontal plane(Z=1.1m)and the symmetric vertical plane(Y=0m)were selected for the internal flowfield analysis.Because of the combined effects of the supply, recirculated,and exhaust air system,the velocityfield remained in a relatively stable state.The temperature outside the subway car was set at33°C and that of the fresh air was set at13°C.Taking into account the thermal energy produced by the human occupants of the car and the subway car’s surface heat transfer,the tempera-turefield inside the passenger compartment was maintained in a relatively balanced state.Thus,the velocity and temperature distri-butions of a typical section of the compartment could represent the velocity and temperaturefield inside the subway car.As the pres-sure change in the passenger compartment was relatively small, the pressurefield was not studied.Fig.7shows the velocity distributions of the original model and of the porous media model in two typical sections of the subway car at the same moment.As the turbulentflow is unsteady and the change range of the velocities of the two models is almost the same,the velocityfields of the two models are basically consis-tent.Due to the recirculated air system,the air velocity around the recirculated air outlets is greater than other part in the compart-ment.According to the definition in Section2.3,the average veloc-ity,horizontal velocity difference,and vertical velocity difference of the two models are basically consistent,which aligns with the results in Table4.Fig.8shows the temperature distributions of the original model and the porous media model of two typical sections of the subway car in the same moment.According to thefigure,the temperature distributions of the two models of the passenger compartment basically agree,especially in the human-activity area.The upper half of End II is the highest temperature area in both models.The temperature is slightly higher in the upper half of End I than in the human-activity area.This temperature difference is caused by the location of the passenger compartment air inlet.As shown in Fig.1,the air inlet of the passenger compartment is not distributed along the entire length of the subway car.The airinletsFig.7.Velocity distributions of typical sections of the subway car in the same moment.(a)Original model(Z=1.1m);(b)porous media model(Z=1.1m);(c)original model (Y=0m);(d)porous media model(Y=0m).Table4Real subway car experiment data and numerical errors.Experimental data Numerical errorsOriginal model Porous media model Porous jump face modelv a0.17mÁsÀ1 3.19% 3.45%10.59%v x0.25mÁsÀ1À3.07%À3.21%8.40%v z0.59mÁsÀ1À2.53%À2.48%À9.15% T a26.90°CÀ3.98%À4.71%À4.13% T x 6.68°CÀ1.35% 1.65%À5.39% T z 6.94°C 1.30%À1.87% 4.61%334Y.Tao et al./Engineering5(2019)329–336are not set at the front and back of the passenger compartment,and End II is farther away from the air inlet than End I.As the fresh air is cool,the temperature of End II is higher than that of End I,and the low-temperature zone is at the top of the compartment.It can be observed from Figs.8(a)and (b)that in the horizontal plane,the temperature of the original model is slightly higher than that of the porous media model at End II,although it is basically consistent in other zones.As a result,the average temperature of the original model is slightly higher than that of the porous media model,which is consistent with the results presented in Table 4.The temperature of the porous media model in some parts of the middle zone is lower than that of the original model,resulting in a greater horizontal temperature difference in the porous media model.Figs.8(c)and (d)show that in the vertical plane,the tempera-ture of the original model is higher than that of the porous media model at End II.In the supply air inlet zone at the top of the pas-senger compartment,the minimum temperatures of the two mod-els are basically consistent.As a result,the vertical temperature difference of the original model is slightly higher than that of the porous media model,as presented in Table 4.Through this analysis of the velocity and temperature distribu-tions of the typical sections,it can be concluded that the internal flow field distributions of the two models are in good agreement.Thus,the porous media model is a good alternative to the ventila-tion panel in the numerical simulation of the internal flow field of the subway car.5.ConclusionThis work focused on the simplification of the numerical simu-lation model of ventilation panels in a subway passenger compart-ment.Two simplified numerical simulation models—the porous media model and the porous jump face model—were chosen and evaluated in order to improve the numerical calculation efficiency.The parameters required to define the porous media model and porous jump face model were determined by means of experimen-tal data.The numerical simulation results of the two simplified models and the original model were compared with experimental data for a real subway car.The results showed that the porous media model could replace the original model in the flow field sim-ulation of a subway passenger compartment,and provides a shorter computation time.The flow field parameters (temperature and velocity)of the porous media model had relatively small numerical errors,with a maximum numerical error among all parameters of 4.71%.The difference between the numerical resultsof the original model and those of the porous media model was less than 1%.The porous media model can reduce the computing resources by about 25%.Using the porous media model developed in this study,the air-supply uniformity in subway passenger com-partments can be studied in a more effective manner.AcknowledgementsThe authors would like to thank Yuxiang Xi and Xin Liu for their contributions to the numerical simulation investigation.Tiantian Wang gratefully acknowledges financial support from the National Key R&D Program of China (2016YFB1200602-11and 2016YFB1200602-12).Compliance with ethics guidelinesYu Tao,Mingzhi Yang,Bosen Qian,Fan Wu,and Tiantian Wang declare that they have no conflict of interest or financial conflicts to disclose.References[1]Chow WK.Ventilation of enclosed train compartments in Hong Kong.ApplEnergy 2002;71(3):161–70.[2]Dehghan MH,Abdolzadeh parison study on air flow and particledispersion in a typical room with floor,skirt boarding,and radiator heating systems.Build Environ 2018;133:161–77.[3]Zhuang R,Li X,Tu J.CFD study of the effects of furniture layout on indoor airquality under typical office ventilation schemes.Build Simul 2014;7(3):263–75.[4]Pang L,Li P,Bai L,Liu D,Zhou Y,Yao J.Optimization of air distribution modecoupled interior design for civil aircraft cabin.Build Environ 2018;134:131–45.[5]Zhang H,Dai L,Xu G,Li Y,Chen W,Tao W.Studies of air-flow and temperaturefields inside a passenger compartment for improving thermal comfort and saving energy.Part I:test/numerical model and validation.Appl Therm Eng 2009;29(10):2022–7.[6]Zhang H,Dai L,Xu G,Li Y,Chen W,Tao W.Studies of air-flow and temperaturefields inside a passenger compartment for improving thermal comfort and saving energy.Part II:simulation results and discussion.Appl Therm Eng 2009;29(10):2028–36.[7]Bianco V,Manca O,Nardini S,Roma M.Numerical investigation of transientthermal and fluidynamic fields in an executive aircraft cabin.Appl Therm Eng 2009;29(16):3418–25.[8]Mao Y,Wang J,Li J.Experimental and numerical study of air flow andtemperature variations in an electric vehicle cabin during cooling and heating.Appl Therm Eng 2018;137:356–67.[9]Dullinger C,Struckl W,Kozek M.A modular thermal simulation tool forcomputing energy consumption of HVAC units in rail vehicles.Appl Therm Eng 2015;78:616–29.[10]Hofstädter RN,Zero T,Dullinger C,Richter G,Kozek M.Heat capacity and heattransfer coefficient estimation for a dynamic thermal model of rail vehicles.Math Comput Model Dyn Syst 2017;23(5):439–52.Fig.8.The temperature distributions of typical sections of the subway car in the same moment.(a)Original model (Z =1.1m);(b)porous media model (Z 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气力输送系统流动特性CFD模拟分析摘要管道气力输送是方兴未艾的新学科和边缘学科,它是利用有压气体作为载体在密闭的管道中达到运送散料或成型物品。
粉体的气力输送是利用气体为载体, 在管道或容器中输送粉体物料的一种方法, 在气力输送中, 混合介质是气体和粉粒体, 一般使用的气体是空气, 当要求输送的物料不能被氧化时, 使用氮气或惰性气体, 因而属于气固两相流。
本课题采用以实验为主,以理论分析和数值模拟为辅的方法,系统研究T 型分支管道气固两相流输送系统中,整体升扬管道高度对管道内流体变化的流动特性的影响。
后来为了模型更接近实际,本文绘制的T管道模型接近实验管道,主要是模拟分支管道内部流体情况,模拟输送过程中的一种情况并与实验结果对比。
本文主要对气固两相流管网输送的产生历史、国内外发展状况、基本原理和应用等内容进行了较详细的介绍,同时对本课题的研究意义及前景进行详细论述。
在水平T型分支管道中,用压缩空气作为输送介质,在保持气体流量分别为60 m3/h和0.22 Mpa,分别改变发送压力和流量,对流体流动特性的变化情况进行分析和研究。
关键词:气固两相流;管网分流;压降;流体流动特性AbstractPneumatic conveying pipe is a new discipline's burgeoning and the edge discipline, it is used as a carrier gas pressure in the closed pipeline to transport bulk or molding items. Powder pneumatic conveying is the use of gas as the carrier, in a pipe or container conveying of powder material is a kind of method, in the pneumatic conveying, mixed medium is gas and powder granule, the general use of the gas is air, when the materials request can't be oxidation, using nitrogen gas or inert gas, which belongs to the gas-solid two phase flow.This topic based on the experiment is given priority to, with theoretical analysis and numerical simulation is complementary method, system research T branch pipe gas-solid two phase flow conveying system, the overall rally in pipe height changes the flow characteristic of fluid inside the pipeline. In this paper, the main of gas-solid two phase flow pipeline transportation history, development situation at home and abroad, the basic principle and application, etc was introduced in detail, at the same time, research significance and the prospect of this project are discussed in details. In the level of T branch pipe, using compressed air as medium, in keeping the gas flow is 60 m3 / h and 0.22 Mpa, respectively, respectively send pressure and flow change, the changes in the characteristics of the fluid flow analysis and research.Keywords:Gas-solid two-phase flows;Pipe network system;pressure drop;Resistance characteristic1绪论管道气力输送是方兴未艾的新学科和边缘学科,它是利用有压缩气体作为载体在密闭的管道中达到运送散料或成型物品。
第37卷第6期2020年12月土木工程与管理学报J o u rn a l o f Civil E ngin eerin g an d M a n agem en tVol.37No.6Dec. 2020双舱矩形管廊正交地裂缝的数值模拟与分析张永辉,李芳涛,杨荣茂(长安大学建筑工程学院,陕西西安710061)摘要:在活动地裂缝场地开展综合管廊建设具有较大的风险,很多学者建议在规划综合管廊时,应该尽可能 与地裂缝正交。
为了研究双仓矩形管廊正交地裂缝时的破坏机理,运用数值模拟的方法分析了双仓矩形管廊 的破坏特征,并与类似工况下的地铁燧道进行了对比和验证。
结果表明:(1)双仓矩形管廊最大纵向拉应力和压应力主要集中在底板和盖板,纵向应力与离截面几何中心线的距离成正比;(2)最大竖向剪应力主要集中在 中隔板和侧壁中心线处,越靠近截面几何中心线竖向剪应力越大;(3)管廊和地铁燧道正交地裂缝时的破坏特 征只与连接方式有关(现浇还是拼接),与截面形式无关,建议管廊在穿越地裂缝时的防治措施可参考已有地 铁隧道的防治措施。
关键词:地下综合管廊;双舱矩形;地裂缝;塑性损伤;数值模拟中图分类号:TU990.3 文献标识码:A文章编号:2095-0985(2020)06-0136-09Numerical Simulation and Analysis of Orthogonal Ground Fissuresin Double Cabin Rectangular Utility TunnelZHANG Yong-hui,LI Fang-tao,YANG Rong-mao(School of C iv il E n g in e e rin g,C h a n g’an U n iv e rs ity,X i’an710061,C h in a)A b s t r a c t:There is a great ris k in the co n stru ctio n of com prehensive u tility tu n n e l in the a ctive ground fissure s ite.M any scholars suggest that the com prehensive u tility tu n n e l should be orthogonal to the ground fissure as m uch as po ssib le.In order to study the fa ilu re m echanism of double ca b in rectangula r u tility tu n n e l un d e r orthogonal ground fis s u re s,the fa ilu re cha racteristics of double ca b in rectangula r u tility tu n n e l are analyzed by nu m e ric a l sim u la tio n m e th o d,and com pared w ith subway tu n n e l u nde r s im ila r co n d itio n s.The results show th a t:(1) the m axim um lo n g itu d in a l te n sile stress and compressive stress are m a in ly concentrated in the bottom plate and the cover p la te,and the lo n g itu d in a l stress is p ro p o rtio n a l to the distance from the geom etric cen ter lin e of the u tility tu n n e l s e c tio n;(2) the m axim um v e rtic a l shear stress m a in ly concentrates on the cen ter lin e of the m id d le diaphragm and side w a ll,and the closer to the geom etric cen ter lin e of the s e c tio n,the greater the v e rtic a l shear stress;(3) the damage characteristics of the u tility tu n n e l and subway tu n n e l are on ly related to the connection mode (cast-in-p la c e o r s p lic in g) ,and have n o th in g to do w ith the cross-section fo rm.I t is suggested that the pre ven tion and co n tro l measures of u tility tu n n e l crossing ground fissures can referto the e xistin g pre ven tion and co n tro l measures of subway tu n n e l.K e y w o r d s:underground u tility tu n n e l;double ca b in re c ta n g u la r;ground fis s u re;plastic dam age;nu m e rica l s im u latio n自2013年以来,国务院加大了对市政管廊的 推进力度,在全国设立了综合管廊试点城市。
某重型货车空调系统对乘员舱热舒适性影响的分析与改进芦克龙;谷正气;贾新建;尹郁琦【摘要】应用计算流体力学软件Fluent对某重型货车空调系统和乘员舱中的气流进行数值仿真,其结果与试验对比,相差在5%以内.采用当量温度Teq,i作为评价指标,对乘员舱的热舒适性进行分析.结果表明,由于各风道风量分配不均匀,乘员舱内部气流组织不合理,致使热舒适性较差.对空调系统进行改进,增加前吹面风道风量比例后,乘员舱的热舒适性得到明显改善.%A numerical simulation on the air flow in air-conditioning system and passenger compartment of a heavy truck is conducted by applying CFD code Fluent and its result is compared to test result with a difference within 5%.Using equivalent temperature as evaluation indicator, the thermal comfort in passenger compartment is analyzed.The results show that, due to the uneven distribution of air flow in various ducts and the unreasonable organization of air flow in passenger compartment, the thermal comfort in passenger compartment is rather poor.The modification of air conditioning system is carried out to increase the airflow proportion of front air duct, and as a resuit, the thermal comfort of passenger compartment is obviously improved.【期刊名称】《汽车工程》【年(卷),期】2011(033)002【总页数】5页(P162-166)【关键词】重型货车;乘员舱;空调系统;计算流体动力学;热舒适性【作者】芦克龙;谷正气;贾新建;尹郁琦【作者单位】湖南大学,汽车车身先进设计制造国家重点实验室,长沙,410082;湖南工业大学,株洲,412007;湖南大学,汽车车身先进设计制造国家重点实验室,长沙,410082;湖南大学,汽车车身先进设计制造国家重点实验室,长沙,410082;奇瑞汽车股份有限公司,芜湖,241006;湖南大学,汽车车身先进设计制造国家重点实验室,长沙,410082【正文语种】中文前言汽车空调的送风风道是汽车空调系统中重要的部件之一,其设计水平直接影响车内气流组织的合理性,从而影响乘员舱的热舒适性。
文章编号:1000-4750(2021)04-0136-14考虑惯容的颗粒阻尼器等效力学模型及其受控结构稳态解研究黄绪宏,许维炳,王 瑾,闫维明,陈彦江(北京工业大学工程抗震与结构诊治北京市重点试验室,北京 100124)摘 要:颗粒阻尼技术因减振效果好、作用频带宽等优点使其在土木工程领域中具有良好的应用前景,然而因其具有高度复杂的非线性力学特性,并缺少合理的力学模型,限制了其在实际工程中的应用和发展。
鉴于此,以土木工程应用为背景,在不考虑阻尼颗粒发生堆积的前提下,通过引入惯容器来考虑颗粒群滚动对阻尼器减振机理及减振效果影响,建立了考虑惯容的多颗粒阻尼器等效单颗粒力学模型;结合颗粒运动状态,分别进行了未碰撞时及碰撞发生后多颗粒阻尼器单自由度结构的响应分析,重点探讨了惯容系数对未碰撞时动力放大系数频响曲线及碰撞发生后周期2次碰撞稳态解析解的影响规律,并采用数值仿真和试验方法进行验证。
结果表明,考虑惯容属性后等效模型能够进一步明晰多颗粒阻尼器由于颗粒群滚动引起的非线性特性,惯容系数对多颗粒阻尼器未碰撞时动力放大系数频响曲线及碰撞后周期运动解析解存在的边界条件及稳定性具有显著影响。
进行的周期2次碰撞理论解析为颗粒阻尼器进一步参数影响分析及减振机理分析提供理论基础。
关键词:多颗粒阻尼器;等效模型;惯容;周期运动;稳定性中图分类号:TU352.1+1 文献标志码:A doi: 10.6052/j.issn.1000-4750.2020.06.0359EQUIVALENT MODEL OF MULTI-PARTICLE DAMPER CONSIDERINGINERTER AND STEADY-STATE SOLUTION OFCONTROLLED STRUCTUREHUANG Xu-hong , XU Wei-bing , WANG Jin , YAN Wei-ming , CHEN Yan-jiang(Beijing Key Laboratory of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100024, China)Abstract: Multi-particle dampers have a good application prospect in the field of civil engineering structures because of their good damping efficiency and wide frequency band. However, the highly complex nonlinear mechanical properties and the lack of a reasonable mechanical model limit its application and development in practical engineering. In view of this, an equivalent single-particle mechanical model with inerter was established without considering the accumulation of particles. The introduction of inerter further considered the influence of particle rolling on the damping mechanism and effect. Then, the theoretical analysis of a single-degree-of-freedom structure with a multi-particle damper was carried out. The influence of inertance on the frequency response curve of displacement in the non-collision stage and the steady-state analytical solution of periodic collision after collision were analyzed emphatically. Numerical simulation and experimental research were also carried out to verify the correctness of the theoretical analysis. The results show that the equivalent model proposed can further clarify the nonlinear characteristics of the multi-particle damper after considering the inerter. The inertia收稿日期:2020-06-07;修改日期:2020-10-29基金项目:国家自然科学基金项目(51978021,51908015);国家重点研发计划项目(2017YFC1500604,2017YFC1500603)通讯作者:王 瑾(1987−),女,河北人,博士后,主要从事结构减震与振动控制研究(E-mail: ******************).作者简介:黄绪宏(1993−),男,山东人,博士生,主要从事结构振动控制研究(E-mail: ***************);许维炳(1986−),男,安徽人,副研究员,博士,主要从事桥梁结构抗震减震研究(E-mail: *****************.cn );闫维明(1960−2020),男,黑龙江人,教授,博士,主要从事结构隔震、减震与振动控制研究(E-mail: **************.cn );陈彦江(1963−),男,黑龙江人,教授,博士,主要从事桥梁抗震减震、桥梁稳定与振动等方面的研究(E-mail: ***************).第 38 卷第 4 期Vol.38 No.4工 程 力 学2021年4 月Apr.2021ENGINEERING MECHANICS136coefficient has a significant influence on the frequency response curve of the controlled structure in the non-collision stage and the analytical solution (boundary and stability) of the periodic motion after collision. The steady-state analytical solution of periodic motion provides a theoretical basis for further parameter influence analysis and for damping mechanism analysis of particle dampers.Key words: multi-particle damper; equivalent model; inerter; periodic motion; stability颗粒阻尼器最早由冲击减振器发展而来,用于涡轮机叶片的减振研究中[1],然而由于单颗粒冲击阻尼器在减振过程中会产生较大的噪声及其对设计参数的敏感性限制了其在实际中的应用。
缘自动检测算法获得图像的像元级边界,在此基础上应用多项式插值算法对图像边缘位置进行亚像元细分,最终计算出失准角。
系统仿真和实验表明,所设计的片上系统具有高精度、高集成度、高可靠性的特点。
图7参6(杨妹清)光学材料光学玻璃TQ171.1122007032829OH -对Tm 3+/Yb 3+共掺碲酸盐玻璃上转换发光的影响=Effect of OH -on upconver sion luminescence of T m 3+/Yb 3+codoped tellurate glasses[刊,中]/徐时清(中国计量学院信息工程学院光电材料与器件研究所.浙江,杭州(310018)),马红萍//光电工程.―2006,33(12).―119122研究了Tm 3+/Yb 3+共掺碲酸盐玻璃的Raman 光谱、红外光谱和上转换发光光谱,分析了OH -对T m 3+上转换发光的影响。
结果表明,在一定程度上,OH -对T m 3+上转换发光的影响大于声子能量对Tm 3+上转换发光的影响。
研究结果有助于进一步提高Tm 3+的发光效率。
图5参6(严寒)TQ171.652007032830莫尔条纹法测量浮法玻璃斑马角=Measur ement of zebra angle of float glass with Moir e fr inge met hod[刊,中]/杨淑连(山东理工大学电气与电子工程学院.山东,淄博(255049))//激光技术.―2006,30(6).―611613为了测量浮法玻璃的斑马角,采用了莫尔条纹的测量方法,该法能够分辨玻璃转动0.2所引起的变形,且斑马角的平均偏差为0.87%。
实验结果表明,该法优于传统的浮法玻璃斑马角测量法。
图5表1参10(于晓光)TQ171.718!O433.52007032831石英玻璃微球吸收光谱上的结构共振=St ruct ur al r eso nances in absor pt ion spectrum of quar tz micr ospher e [刊,中]/张磊(厦门大学物理系.福建,厦门(361005)),林国平//光学学报.―2007,27(1).―9497通过CO 2激光器熔融不同直径的熔锥光纤以得到相应直径的石英玻璃微球,利用此微球和熔锥光纤,构造了球微腔耦合系统。
离散结构力学课程实验报告Report of Discrete Structural MechanicsCourse Experiment学院:中欧航空工程师学院专业:航空工程组员:庄怀风 2017122085张统 2017122075赵靖2017122079刘鹏宇2017122034指导教师:李湘萍二零一七年十二月二十九日目录Chapter 1Description of Problem (1)1.1Problem of experiment (1)1.2Theoretical calculation (1)Chapter 2Finite Element Simulation (3)2.1 Patran software introduction (3)2.2 Numerical Simulation (4)2.2.1 Simulation process (4)2.2.2 Simulation results (8)Chapter 3Conclusion (10)3.1 The summary of work (10)3.2 Work shortcomings (10)3.3 The experience of course learning (10)ACKNOWLEDGEMENT (12)Chapter 1 DescriptionofProblem1.1Problem of experimentThe existing first-class cross-section cantilevers, as shown in Figure 1.1, the left end of the fixed right free. It is known that the elastic modulus E=2.0×1011N/m2, the Poisson's ratio μ=0.3, the density ρ=7800kg/m3, the length L = 0.5 m, the width B = 0.02 m and the heightH=0.01m.Fig.1.1The left end of the fixed free right cross-section cantilever beam1.2Theoretical calculationThe differential equation of cantilever bending isEI ð4w x,t4+ρAð2w x,t2=0The cantilever boundary conditions are:w x=0=01dwdxx=0=02ð2w2|x=l=03ððx EIð2wðx2|x=l=04The free vibration solution of this partial differential equation is:w x,t=W x T tThis solution can be derived into the differential equations of motion of cantilever,then we haveW x=C1cosβx+C2sinβx+C3cosℎβx+C4sinℎβxT t=Acoswt+Bsinwtandβ4=ρAw2Substitute the boundary conditions (1)、(2)into the above formula,we haveC1+C3=0,C2+C4=0Then we will getW x=C1cosβx−cosℎβx+C2sinβx−sinℎβxThen substitute the boundary conditions (3)、(4)into the above formula,we have−C1cosβl+cosℎβl−C2sinβl+sinℎβl=0−C1−sinβl+sinℎβl−C2cosβl+cosℎβl=0Then we have−cosβl+cosℎβl−sinβl+sinℎβl−−sinβl+sinℎβl−cosβl+cosℎβl=0Then we get the frequency equationcosβn l cosℎβn l=−1The root of this equation βn l represents the natural frequency of the vibration systemw n=βn l2EI ρAl4Chapter 2Finite Element SimulationFinite Element Analysis (FEA) is a relatively important tool for numerical simulation and analysis. It mainly uses the principle of mathematical approximation to carry out numerical simulation of practical problems. In the simulation, the analysis object needs to be divided into The purpose of this method is to miniaturize the grid. This method is used to divide an infinite number of free-form physical objects into a limited number of tiny elements. This approximate simulation method can effectively simulate real-world problems and obtain better results. Make full use of finite element software simulation method can get most of the corresponding performance parameters and image data with complex structure problems, the method not only in the calculation accuracy is excellent, the simulation efficiency is very high, but also in the user interface design more friendly , Post-processing module is more powerful. Finite element analysis over a short period of 40 years, with the rapid development of science and technology, finite element analysis has been widely used, its application involves a wide range of finite element method because of its practical and efficient features will soon be the majority of users Accepted.In this chapter, Patran finite element analysis software is mainly introduced. Patran finite element analysis software is used to simulate a given cantilever beam. The results of natural frequencies of the first few orders are given and compared with the theoretical calculation results.2.1Patran software introductionPatran is the most widely used finite element analysis (FEA) pre / post processing software in the world that provides solid modeling, meshing, analysis setup and post-processing for multiple solvers, including MSC Nastran, Marc, Abaqus , LS-DYNA, ANSYS and Pam-Crash.Patran provides a rich set of tools to simplify the creation of analytical models for linear, nonlinear, explicit kinematics, heat and other finite element simulation. Patran not only has geometric cleaning tools that enable engineers to easily work with gaps and crevices in CAD, but also provides solid modeling tools to create modelsfrom scratch, making it easy for anyone to create finite element models. Patran can easily create meshes on surfaces and solids either through a fully automated meshing process, manual methods that provide more control, or a combination of both. Finally, the solution includes built-in load, boundary conditions, and analysis settings for the most popular finite element solvers, minimizing the editing of input files.2.2Numerical SimulationMaterial properties: Elastic modulus E = 210000MPa, Poisson's ratioμ=0.3, densityρ=7800kg/m3.Cantilever dimensions: side length L = 0.5m, width B = 0.02m, height H =0.01m.2.2.1 Simulation process1)Create the widgetOpen Patran, get into the interface. First of all, it’s change the standard of modeling to ‘m’ in Preferences-Geometry。
LS-DYNA Damping在LS-DYNA中阻尼完全是可选的,通过使用一个*DAMPING卡片来调用。
应该知道能量可以通过其它的非*DAMPING的方式耗散,比如,因为沙漏力产生的能量,刚性墙的力产生的能量,接触摩擦力产生的能量,离散阻尼产生的内能等。
有时候,接触力可能将噪声引入到响应里。
在这种情况下,通过*CONTACT卡第二张卡的VDC参数来增加粘性阻尼,从而帮助减小噪声。
VDC以临界阻尼的百分比输入,典型的值是10到20。
___________________________________________________________*DAMPING卡片概览:LS-DYNA中的质量阻尼(Mass damping)包括*damping_global &*damping_part_mass,是用于抑止低频的结构振动模式,但此外它有抑制刚体模式的效应。
因此对经受明显刚体运动的部件,应该要么从质量阻尼中排除或者在部件经历大的刚体运动期间关掉质量阻尼;或者使用*damping_relative来替代。
通过使用*damping_relative,仅仅相对指定刚体的运动/振动被抑制。
在质量阻尼情况下临界阻尼系数是4*pi/T,其中T是要抑制的模态的周期(通常是最低阶(基频)模态)。
周期可以通过特征值分析(eigenvalue)或者从一个无阻尼的瞬态分析结果来估计。
如果选择使用质量阻尼,建议使用小于临界阻尼系数的阻尼值。
取10%的临界阻尼的值,即输入0.4*pi/T,是相当典型的值。
可以选择用同样的阻尼系数抑制所有的部件(*damping_global)或者对每一个部件指定不同的阻尼系数(*damping_part_mass)。
在任何一种情况下,阻尼系数可能会随时间变化(在仿真中间关掉或打开阻尼时会有用)。
*damping_part_stiffness是为了抑制高频振动和数值振荡,通常对结构振动没有明显的影响。
基于数值模拟的南京市某边坡稳定性分析及治理方案设计发布时间:2022-09-20T08:05:34.576Z 来源:《建筑创作》2022年第4期第2月作者:史建勇[导读] 以南京市某边坡为研究对象,根据边坡的地质特征,分析了边坡的失稳机理。
史建勇中煤长江生态环境科技有限公司江苏南京 210000摘要:以南京市某边坡为研究对象,根据边坡的地质特征,分析了边坡的失稳机理。
并基于有限元软件,建立边坡数值计算模型,模拟边坡在天然状态、降雨及地震工况下的稳定性。
首先,在天然状态和降雨工况下,计算得到边坡的安全稳定系数分别为1.05和0.98,说明边坡处于欠稳定、不稳定状态,且降雨可以降低边坡的稳定性。
同时对比分析了不同组合工况下边坡的稳定性和动力响应。
结果表明,在降雨和地震的共同作用下,指出边坡可能发生滑坡的薄弱位置,提出治理方案与措施,为同类工程提供参考。
关键词:边坡;失稳机理;数值模拟;稳定性分析;锚杆;挡土墙Stability analysis and treatment scheme design of a slope in Nanjing based on numerical simulation Shi JianyongChina Coal Changjiang Ecological Environment Technology Co.Ltd Nanjing, Jiangsu 210000 Abstract: The paper takes a slope in Nanjing as the research object. According to the geological characteristics of the slope, the instability mechanism of the slope is analyzed. And based on finite element software, a numerical calculation model is established to simulate the stability of the slope under natural conditions, rainfall and earthquake conditions. First, under the natural state and rainfall conditions, the calculated safety and stability coefficients of the slope are 1.05 and 0.98, respectively.The results indicate that the slope is in an unstable state, and rainfall can reduce the stability of the slope. At the same time, the stability and dynamic response of the slope under different combined working conditions are compared and analyzed. The results show that, under the combined action of rainfall and earthquake, the weak position of the slope where landslides may occur is pointed out, and the treatment plan and measures are put forward which provides reference for similar projects.Keywords: slope; failure mechanism; numerical simulation; stability analysis; anchor; retaining wall0 引言随着城市建设的高速发展,工程建设中遇到边坡的数量和规模日益增多,其相关地质灾害也给工程建设、周边居民的生活和财产造成巨大的影响。
第24卷增刊 岩 土 力 学 Vol.24 Supp.2003年10月Rock and Soil Mechanics Oct. 2003收稿日期:2003-03-28作者简介:唐春安,男,1958年生,东北大学长江学者奖励计划特聘教授,博导。
文章编号:1000-7598-(2003)增2―0017―04孔隙水压力对岩石裂纹扩展影响的数值模拟 唐春安1, 杨天鸿1, 李连崇1, 梁正召1,Tham L. G.2 , Lee K. K.2, Tsui Y.2(1. 东北大学 岩石破裂与失稳研究中心 沈阳 110004; 2. 香港大学 土木系 香港 )摘 要: 应用岩石破坏过程渗流-应力-损伤(FSD)耦合分析软件F-RFPA 2D ,通过对孔隙水压作用下岩石试件加载破坏过程的数值模拟,对孔隙水压力大小和梯度对岩石试样中裂纹的萌生和扩展进行了数值模拟研究。
模拟结果再现了孔隙水压力作用下裂纹萌生扩展的全过程,表明孔隙水压力大小和梯度对岩石中裂纹的萌生和扩展模式都有很大的影响。
关 键 词: 渗流机理; 非均匀性; 孔隙水压; 数值模拟; 破坏过程 中图分类号: TB 115 文献标识码: ANumerical simulation to influence of pore pressure magnitude and gradienton fracture propagation in brittle heterogeneous rocksTANG Chun-an 1 , YANG Tian-hong 1, LI Lian-cong 1, LIANG Zheng-zhao 1,Tham L. G.2, Lee K. K.2, Tsui Y.2(1. Center for Rock Instability and Seismicity Research, Northeastern University, Shenyang, China; 2. Department of Civil Engineering, TheUniversity of Hong Kong, Hong Kong, China)Abstract: A series of numerical tests of hydraulic fracturing in heterogeneous rocks were performed to investigate the influence of pore pressure magnitude and gradient on initiation and propagation of tensile fractures. The numerical tests were run with a Rock Failure Process Analysis code, F -RFPA 2D , incorporated with a Flow-Stress-Damage coupling model (FSD). To investigate the influence of pore pressure magnitude on fracture behaviour, “pinch-off” breaking tests, originally employed by Bridgeman to investigate the effective stress law for tensile fracture in a uniform pore pressure field, were numerically modeled. In another numerical test, a double-notched sample, with fluid pressure in one notch while keeping another one open to the atmosphere, is numerically extended to investigate how the fluid flow direction or the pore pressure gradient will influence the fracture behaviour. The simulation results show that fracture is strongly influenced by both pore pressure magnitude and pore pressure gradient. Keywords: seepage mechanics; heterogeneous; pore pressure; numerical simulation; failure process1 引 言岩石作为典型的低渗透介质,研究其破坏过程渗流-损伤耦合机制是当今水文地质学和渗流力学领域亟待解决的重大理论问题。