COUPLING EFFECT OF FLEXIBLE JOINT AND FLEXIBLE LINK ON DYNAMIC SINGULARITY OF FLEXIBLE MANIPULAT

第35卷第21期振动与冲击JOURNAL OF VIBRATION AND SHOCK Vol.35 No.21 2016小水线面双体船桨-轴-船体耦合振动和声辐射分析雷智洋苏金鹏华宏星M(1.上海交通大学振动、冲击、噪声研究所，上海200240 ; 2.上海交通大学机械系统与振动国家重点实验室，上海200240)主商要：针对小水线面双体船螺旋桨-轴系-船体耦合系统，利用耦合有限元方法建立了水体-螺旋桨-轴系和 船体-水体子系统的耦合动力学模型，进行谐响应计算得到各个子系统轴承连接点处的导纳，把轴承作为弹性连接单元，通过频响综合得到整个系统的频域响应，再由边界元计算得到声场响应。

该方法可考虑流固耦合螺旋桨的弹性、螺旋桨 轴系与船体的耦合效应。

结果表明螺旋桨激励下船体辐射声功率的特征峰值主要有轴系的一阶纵振和螺旋桨的第一、二 阶同向振动湿模态,即辐射噪声谱的特征体现在轴系和螺旋桨。

因此,针对螺旋桨激励下的桨-轴-船耦合系统部分的噪声,隐身设计的重要内容是螺旋桨和轴系参数的优化。

该方法可对桨-轴-船体耦合系统中螺旋桨和轴系的参数分析 提供高效的分析手段，从而为隐身优化设计提出明确的指导方向,具有重要工程意义。

关键词：小水线面双体船;桨-轴-艇耦合;频响综合;声辐射中图分类号：U661.44 文献标志码：A D0I ： 10. 13465/j. cnki. jvs. 2016.21.003Vibration and sound radiation analysis for a propeller-shaft-hullcoupled system in a catamaran SWATH shipLEI Zhiyang1’2，SU Jinpeng1’2，HUA Hongxing1，2(1. Institute of Vibration, Shock and Noise, Shanghai Jiao Tong University, Shanghai 200240, China；2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China)Abstract：To analyze a propeller-shaft-hull coupled system of a SWATH catamaran ship, the coupled FE method was employed to establish coupled dynamic models for water-propeller-shaft and hull-water subsystems. The mobilities of bearings connecting points of subsystems were computed. Bearings were modeled as flexible joints. Frequency response functions based the modal synthesis method were utilized to formulate the responses of the whole system in frequency domain. Then, the acoustic field response of the system was calculated with the boundary element method. The proposed method could consider the elasticity of propeller with water-solid interaction, and the coupling effect between propeller- shaft and hull. Analysis results showed that the characteristic frequencies of the hulFs sound radiation power are the 1s t longitudinal vibration mode of the shaft system and the 1st and 2 n d vibration wet modes in the same directions of the propeller, so the design to reduce acoustic radiation is mainly focused on parameters of the shaft system and the propeller；meanwhile, the proposed method has high efficiency and advantages for parametric analysis of shaft system and propeller in a propeller-shaft-hull coupled system. The results were of great significance in practical stealth designs for warships.Key words ：SWATH catamaran ship ；propeller-shaft-hull coupled system ；frequency response function based modal synthesis method; acoustic radiation小水线面双体船具有良好的耐波性[1]，它的噪音 小、舒适性好、航向稳定，通常用于科学考察领域，为了 提高船体的舒适性、稳定性，船体的振动和噪声辐射是 关键设计参数。

Shaft couplings will be used under the following conditions: 1. With shafts having collinear axis, that is, axis in the same straight line, rigid or flexible couplings of various form are used. 2. With shafts having intersecting axis, a Universal Coupling is employed. 3. With shafts whose axes are parallel and at a relatively small distance apart, the double slider crank principle of mechanism is used. A shaft coupling should have the following requirements: 1. It should be easy to connect or disconnect. 2. It should transmit the full power of the shaft. 3. it should hold the shafts in perfect alignment. 4. It should have no projecting parts.
This flexible-disk coupling contains at least one disk attached at its outside to one of the two rotary parts connected therewith and is splined adjacent its inside periphery to the other of said parts. The splines let the disk expand naturally under centrifugal stress, independently of said other part. They have preferably straight radical profiles, so that the increased expansion of the disk avoids backlash. The couplings may be used in pairs, as common-place, or also singly. The flexible disks are subjected to various stresses, of which the stress set up by centrifugal inertia is a major component. It is customary to rigidly weld the disks at their inner portion to one of the two parts connected by the coupling. The invention departs from this custom. It lets the disks expand naturally without being tied to the expansion of said one part. As this decreases the stress on the disks it enables them to carry increased load.

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(origina) ground surface原状土，未扰动土natural soil, undisturbed earth降水，排水dewatering, water removal槽深trench depth超挖over excavation地基处理soil treatment, soil improvement顶进工作坑，起始工作坑thrust pit, starting shaft接受工作坑，终端工作坑reception pit, arriving shaft中继间intermediate jacking station导管leading pipe止推墙，反力墙thrust wall, reaction wall顶力jacking pressure管下腋角haunches under pipe未回填沟槽unbackfilled trench回填土backfil胸控夯实compaction the two sides of pipe中松侧实法compaction around the pipe with relatively untamped above the top of pipe 闭合温差max temperature difference between construction and operation闭（灌）水试验water fight test现场水压试验site pressure test严密性试验leak test气密性试验air-tight test水泥砂浆内衬cement mortar lining果博东方，缅甸果博东方，果博东方娱乐meDhJo8fFlla。

2020年12月第12期（总267）铁道工程学报JOURNAL OF RAILWAY ENGINEERING SOCIETYDec2020NO.12(Ser.267)文章编号：1006-2106(2020)12-0064-06基于声子晶体理论进行轨道系统减振效果研究李粮余杯(中铁二院工程集团有限责任公司，成都610031)摘要:研究目的:针对高速铁路下穿机场航站楼引起的振动噪声问题,分析传统轨道减振技术针对高铁下穿航站楼时存在的弊端，基于声子晶体理论，引入新型声子晶体减振垫层，以降低60~80Hz特殊频段的振动水平，减少列车运行对机场航站楼内人员的影响。

本文以成都至自贡高铁线下穿天府机场航站楼为例,采用多刚体动力学软件UM(Universal Mechanism)与有限元软件ANSYS联合仿真，通过建立两种不同下部基础的列车-轨道-隧道刚柔耦合动力学模型，对新型声子隔振垫和普通隔振垫的减振效果进行对比分析，验证新型声子减振垫的减振效果。

研究结论：(1)基于声子晶体局域共振禁带机理设计的新型声子晶体隔振垫轨道各结构低频范围的振动峰值有所减小，且在特定频段(63~100Hz)减振性能更为显著,其中在80Hz频段范围减振效果最佳,较普通隔振垫减小9.9dB,在高铁下穿航站楼时具有良好的减振效果；(2)本研究成果可用于临近或下穿机场及特殊建筑时的高速铁路无祚轨道减振降噪。

关键词：高速铁路;航站楼;声子晶体;隔振垫中图分类号:U213.2+44文献标识码：AResearch on the Vibration Reduction Effect of Track System Based on Phononic Crystal TheoryLI Liangyu(China Railway Eryuan Engineering Group Co.Ltd,Chengdu,Sichuan610031,China)Abstract:Research purposes:Aiming at the problem of vibration and noise caused by high一speed railway crossing airport terminal,this paper analyzes the disadvantages of traditional track vibration reduction technology in high一speed railway crossing terminal.Based on phononic crystal theory,a new phononic crystal damping pad is introduced to reduce the vibration level of60〜80Hz and the influence of train operation on people in the airport terminal.Taking the Chengdu-Zigong high-speed railway line passing through the Tianfu airport terminal as an example,the multi一rigid body dynamics software UM(Universal Mechanism)and the finite element software ANSYS are used to the simulation. By establishing two train—track一tunnel rigid一 flexible coupling dynamics models of different foundation,the vibration absorption effect of the new phononic damping pad and the ordinary damping pad is compared and analyzed to verify the vibration absorption effect of the new phononic cushion.Research conclusions：(1)The vibration peak value of the low frequency range of each structure of the track that used new phononic crystal damping pad based on the local resonance band gap mechanism of phononic crystals is reduced, and the vibration absorption perfoimance is more significant in the specific frequency band(63〜100Hz).The damping*收稿日期:2020-10-15基金项目：四川省重点研发项目——川藏铁路重大工程风险识别与对策研究(2019YFG0460)**作者简介:李粮余,1982年出生，男，高级工程师，现任中铁二院工程集团有限责任公司土建二院轨道处副处长。