第一单元
That branch of scientific analysis which motions, times and forces is called mechanics and is made up of two parts, statics and dynamics.研究位移、时间和力运动乘力是科学分析法的一个分歧，被称作力学，力学由两大部分组成，静力学和动力学。
1.For example, if the force operating on a sleeve bearing becomes too high, it will squeeze out
the oil film and cause metal-to-metal contact, overheating and rapid failure of the bearing.例如：如果止推轴承上的作用力过大的话，会挤出油膜，引起金属和金属之间的相互接触，轴承将过热而迅速失效。
2.Our intuitive concept of force includes such ideas as place of application, direction, and
magnitude, and these are called the characteristics of a force.力的直观概念包括力的作用点、大小、方向，这些被称为力的三要素。
3.All bodies are either elastic or plastic and will be deformed if acted upon by forces. When the
deformation of such bodies is small, they are frequently assumed to be rigid, i.e., incapable of deformation, in order to simplify the analysis.所有的物体既可以是弹性的也可以是塑性的，如果受到力的作用就产生变形。当变形很小的时候它们被假设成刚体，也就是不产生变形。
4.The rigid-body assumption cannot be used in internal stresses and strains due to the applied
forces to be analyzed. Thus we consider the body to be capable of deforming.刚体假设不能应用于内应力和内应变的分析，所以在实际力的分析时，要考虑物体的形变。
5.If all the forces acting on a particle are balanced, the particle will either remain at rest or will
continue to move in a straight line at a uniform velocity.如果作用在质点上所有的力是平衡的，质点将会保持静止或做做匀速直线运动。
6.第二单元
7. A tensile test consists of slowly pulling a sample of material with a tensile load until it breaks.
The ends of tensile specimens are usually enlarged to provide extra area for grip-ping and to avoid having the sample break where it is being gripped.拉伸试验包括慢慢加载拉伸载荷直到断裂。拉伸试件两端加粗为了提供装夹区域和避免试件断裂。
8.The usual manner of conducting the test is to deform the specimen at a constant speed. For
example, in the universal testing machines, the motion between the fixed and moving crossheads can be controlled at a constant speed. 通常进行试验的方法就是使试件以恒定速度发生变形。例如，在万能拉伸试验机上，固定端和移动的十字滑块之间的变形是以恒定速度进行的。
9.The load that must be applied to enforce this displacement rate varies as the test proceeds.
This load F may be divided by the cross-sectional area A to obtain the stress in the specimen at any time during the test.随着实验的进行，用来产生位移的载荷是随位移的变化而变化。在实验中，载荷F除以横截面积A可以得到任意时刻点的应力。
10.However actual measurement of ΔL is preferable where this is feasible. Stress and strain
based on the initial (undeformed) dimensions, Ai and Li, are called engineering stress and strain.然而，在可行的位置上ΔL的实际测量是更可取的，基于原始尺寸Ai和Li的应力和应变称为工程应力和工程应变。
11.Ductile and brittle materials behave differently in compression test as well. The
compression test is conducted on short cylindrical specimens placed between parallel plates.
塑性和脆性材料在压缩试验中表现的特性是不相同的。压缩试验是把短圆柱形试件放在两平行平板之间进行的。
12.The compression test diagram for these materials retains the qualitative features of the
tension test diagram. The ultimate compressive strength of a brittle of a brittle material is determined in the same way as in tension.材料压缩试验图保持了拉伸试验图性能上的特征。脆性材料的最大压缩强度与最大拉伸强度得到的方法相同。
13.第三单元
14.Virtually all machines contain shafts. The most common shape for shafts is circular and the
cross section can be either solid or hollow (hollow shafts can result in weight savings).几乎所有的机器都有轴，最常用的外形是圆形的，横截面是空心的或实心的圆形截面（空心轴可以减少重量）。
15. A shaft must have adequate torsional strength to transmit torque and not be overstressed. It
must also be torsionally still enough so that one mounted component does not deviate excessively from its original angular position relative to a second component mounted on the same shaft.一个轴必须有足够的扭转强度来传递扭矩而不会破坏，同样也必须有足够的扭转刚度，这样安装轴就不能过度偏离相对于安装在同一轴上第二个零件的原始位置。
16.Shafts are mounted on bearings and transmit power through such devices as gears, pulleys,
cams and clutches. These devices introduce forces which attempt to bend the shaft; hence, the shaft must be rigid enough to prevent overloading of the supporting bearings.轴安装在轴承上通过齿轮，滑轮，凸轮和离合器这些装置传递力。这些装置可以产生使轴弯曲的力，所以轴必修有足够的刚性防止支撑轴承的过载。
17.In addition, the shaft must be able to sustain a combination of bending and torsion and
bending.另外，轴必须能承载弯扭组合的载荷，因此，这样就必须考虑弯扭组合的等效载荷。
https://www.doczj.com/doc/da10567594.html,ponents such as gears and pulleys are mounted on shafts by means of key. The design of
the key and the corresponding keyway in the shaft must be properly evaluated.齿轮和滑轮构件是用键的方式连接在轴上的，键和对应的键槽的设计必须进行估算。
19.Another important aspect of shaft design is the method of directly connecting one shaft to
another. This is accomplished by devices such as rigid and flexible couplings.轴设计的另一个重要方面是直接连接两轴，通过刚性和柔性的联轴器装置来实现。
20.第四单元
21.Pressure angles for spur gears are usually 14.5 or 20 degrees, although other values can be
used. Meshing gears must have the same pressure angles.直齿轮的压力角通常为14.5°或20°，另外也使用其它的角度，啮合齿轮必须具有相同的压力角。
22.The shape of the space between gear teeth on the gear as well as tooth module, so most gear
manufacturing methods generate the tooth flank instea d of forming.齿轮轮齿之间齿槽的形状是复杂的，并且随着齿的数目和模数变化而变化，因此大多数齿轮的加工方法是展成齿腹齿廓而不是齿形成形加工。
23.Worm gears are used where high ratios are desired and where the shafts are nonintersecting
and at right angles.蜗杆蜗轮应用于传动比大而且两轴不相交但相互垂直的情况下。24.It has the great advantage that the cutting tool is a simple rack with ( nearly ) straight sided
teeth which can easily be ground accurately.这种方法有很大的优势，切削工具是一个简单的带有直齿边的齿条
25.Modern shapers cutting car gears can run at 2000 cutting per minute. The shape of the cutter
is roughly the same as an involute gear but the tips of the teeth are rounded.现代切削汽车的成型器齿轮转速可达每分钟2000转，齿刀形状与渐开线大致相同，但齿顶是圆形的。
26.Bevel gears are often used when two shafts are at right angles to each other and their
centerline extensions intersect; however, some bevel gears are at angles other than 90 degrees.
圆锥齿轮一般应用于相互垂直的两轴或两个中心线延长线的相交轴中，也可用于不垂直的两轴中。
27.第五单元
28.The purpose of any cam is to produce a displacement of its follower; a secondary follower is
often used to produce additional displacement in another location.使用凸轮的目的是使从动件产生位移，次级从动件在另一位置产生附加运动。
29.The relative vertical position of point A with respect to B needs to be raised if the reaction
value at B is excessive.如果B点的作用力过大，A点相对B点的相对垂直位置必须被提高。
30.In general, the follower is considered to be the part that comes in contact with the cam profile.
However, when a secondary follower is used, the motion of the secondary follower is dictated by that of the primary follower.总的来说，从动件是与凸轮轮廓相接触的零件，然而，当用次级从动件时，次级从动件的运动就需通过主要从动件来实现。
31.The simplest type of follower is the reciprocating type that merely moves up and down ( or in
and out ) with the rotation of the cam; the centerline can be either collinear with the cam centerline or offset form it.最简单的从动件就是随着凸轮的转动而仅做上下（或进出）运动的从动件，其中心线可与凸轮中心共线，也可与之偏离。
32.Fasteners are devices which permit one part to be joined to a second part and, hence, they are
involved in almost all designs.紧固件是一种连接一个部分和另一个部分的装置，因此，它涉及到几乎所有的设计。
33.Springs are mechanical members which are designed to give a relatively large amount of
elastic deflection under the action of an externally applied load.弹簧是一种被设计于在外力作用下产生相对弹性变形较大的机械构件
34.第六单元。
35.The lubrication system provides a constant flow of filtered oil to all moving parts of the
engine. The system consists of an oil pan to store the oil, a pump to circulate it, a filter to remove solid abrasive particles, and an oil gauge or light in driver’s compartment for checking purposes.润滑系统提供了一个不断过滤油流到发动机的移动部件。该系统包括机油盘存储油，循环的泵，过滤除去固体磨料颗粒，和油表或光在驾驶室检查的目的。
36.The drive line consists of mechanisms and units which transmit torque from the engine to the
drive wheels and change torque and rpm in magnitude and direction.线组成。驱动机制和单位传送扭矩从发动机的驱动车轮和改变扭矩和转速的大小和方向。
37.It has been seen that if the conditions are not very abnormal, sufficient amount of tyre slip
taking place under running conditions would release these stresses completely.现在已经明白,如果条件不太正常,足够的轮胎滑移发生运行条件下会释放这些压力完全。
38.Much effort is required to crank the engine during starting, since it is necessary to overcome
friction in the moving engine components and the resistance offered by the charge being compressed.大的努力必须曲柄发动机在起动过程中,因为它要克服摩擦移动发动机零件与抵抗的费用被压缩。
39.The clutch is a friction device used to connect and disconnect a driving force from a driven
member. It is used in conjunction with an engine flywheel to provide smooth engagement and disengagement of the engine and manual transmission.离合器摩擦装置,用来连接和断开动
力从一个驱动的成员。它是用来在结合发动机飞轮提供光滑的接触和撤离的引擎和手操作的传动系统。
40.The differential is a gear system that transfers power from the drive shaft to the driving axles.
It also permits one driving wheel to turn faster than the other to prevent skidding and scuffing of tires on turns.
41.鉴别是一个齿轮系统的权力转移到驱动轴驱动轴。它也允许一个人转向驱动轮速度比其
他防止滑动和scuffing轮胎在转。
数学专业英语课后答案
2.1数学、方程与比例 词组翻译 1.数学分支branches of mathematics，算数arithmetics，几何学geometry，代数学algebra，三角学trigonometry，高等数学higher mathematics，初等数学elementary mathematics，高等代数higher algebra，数学分析mathematical analysis，函数论function theory，微分方程differential equation 2.命题proposition，公理axiom，公设postulate，定义definition，定理theorem，引理lemma，推论deduction 3.形form，数number，数字numeral，数值numerical value，图形figure，公式formula，符号notation(symbol)，记法/记号sign，图表chart 4.概念conception，相等equality，成立/真true，不成立/不真untrue，等式equation，恒等式identity，条件等式equation of condition，项/术语term，集set，函数function，常数constant，方程equation，线性方程linear equation，二次方程quadratic equation 5.运算operation，加法addition，减法subtraction，乘法multiplication，除法division，证明proof，推理deduction，逻辑推理logical deduction 6.测量土地to measure land，推导定理to deduce theorems，指定的运算indicated operation，获得结论to obtain the conclusions，占据中心地位to occupy the centric place 汉译英 （1）数学来源于人类的社会实践，包括工农业的劳动，商业、军事和科学技术研究等活动。 Mathematics comes from man’s social practice, for example, industrial and agricultural production, commercial activities, military operations and scientific and technological researches. （2）如果没有运用数学，任何一个科学技术分支都不可能正常地发展。 No modern scientific and technological branches could be regularly developed without the application of mathematics. （3）符号在数学中起着非常重要的作用，它常用于表示概念和命题。 Notations are a special and powerful tool of mathematics and are used to express conceptions and propositions very often. （4）17 世纪之前，人们局限于初等数学，即几何、三角和代数，那时只考虑常数。Before 17th century, man confined himself to the elementary mathematics, i. e. , geometry, trigonometry and algebra, in which only the constants were considered. （5）方程与算数的等式不同在于它含有可以参加运算的未知量。 Equation is different from arithmetic identity in that it contains unknown quantity which can join operations. （6）方程又称为条件等式，因为其中的未知量通常只允许取某些特定的值。Equipment is called an equation of condition in that it is true only for certain values of unknown quantities in it. （7）方程很有用，可以用它来解决许多实际应用问题。
外文翻译 英文原文 Belt Conveying Systems Development of driving system Among the methods of material conveying employed，belt conveyors play a very important part in the reliable carrying of material over long distances at competitive cost．Conveyor systems have become larger and more complex and drive systems have also been going through a process of evolution and will continue to do so．Nowadays，bigger belts require more power and have brought the need for larger individual drives as well as multiple drives such as 3 drives of 750 kW for one belt(this is the case for the conveyor drives in Chengzhuang Mine)．The ability to control drive acceleration torque is critical to belt conveyors’performance．An efficient drive system should be able to provide smooth，soft starts while maintaining belt tensions within the specified safe limits．For load sharing on multiple drives．torque and speed control are also important considerations in the drive system’s design. Due to the advances in conveyor drive control technology，at present many more reliable．Cost-effective and performance-driven conveyor drive systems covering a wide range of power are available for customers’ choices[1]. 1 Analysis on conveyor drive technologies 1．1 Direct drives Full-voltage starters．With a full-voltage starter design，the conveyor head shaft is direct-coupled to the motor through the gear drive．Direct full-voltage starters are adequate for relatively low-power, simple-profile conveyors．With direct fu11-voltage starters．no control is provided for various conveyor loads and．depending on the ratio between fu11-and no-1oad power requirements，empty starting times can be three or four times faster than full load．The maintenance-free starting system is simple，low-cost and very reliable．However, they cannot control starting torque and maximum stall torque；therefore．they are
01.THE ELEMENTS AND THE PERIODIC TABLE 01元素和元素周期 表。 The number of protons in the nucleus of an atom is referred to as the atomic number, or proton number, Z. The number of electrons in an electrically neutral atom is also equal to the atomic number, Z. The total mass of an atom is determined very nearly by the total number of protons and neutrons in its nucleus. This total is called the mass number, A. The number of neutrons in an atom, the neutron number, is given by the quantity A-Z. 原子核中的质子数的原子称为原子序数，或质子数，卓电子数的电中性的原子也等于原子序数Z，总质量的原子是非常接近的总数量的质子和中子在原子核。这被称为质量数，这个数的原子中的中子，中子数，给出了所有的数量 The term element refers to, a pure substance with atoms all of a single kind. To the chemist the "kind" of atom is specified by its atomic number, since this is the property that determines its chemical behavior. At present all the atoms from Z = 1 to Z = 107 are known; there are 107 chemical elements. Each chemical element has been given a name and a distinctive symbol. For most elements the symbol is simply the abbreviated form of
2.1 数学、方程与比例 （1）数学来源于人类的社会实践，包括工农业的劳动，商业、军事和科学技术研究等活动。 Mathematics comes from man’s social practice, for example, industrial and agricultural production, commercial activities, military operations and scientific and technological researches. （2）如果没有运用数学，任何一个科学技术分支都不可能正常地发展。 No modern scientific and technological branches could be regularly developed without the application of mathematics. （3）符号在数学中起着非常重要的作用，它常用于表示概念和命题。Notations are a special and powerful tool of mathematics and are used to express conceptions and propositions very often. （4）17 世纪之前，人们局限于初等数学，即几何、三角和代数，那时只考虑常数。 Before 17th century, man confined himself to the elementary mathematics, i. e. , geometry, trigonometry and algebra, in which only the constants were considered. （5）方程与算数的等式不同在于它含有可以参加运算的未知量。 Equation is different from arithmetic identity in that it contains unknown quantity which can join operations. （6）方程又称为条件等式，因为其中的未知量通常只允许取某些特定的值。Equipment is called an equation of condition in that it is true only for certain values of unknown quantities in it. （7）方程很有用，可以用它来解决许多实际应用问题。 Equations are of very great use. We can use equations in many mathematical problems. （8）解方程时要进行一系列移项和同解变形，最后求出它的根，即未知量的值。To solve the equation means to move and change the terms about without making the equation untrue, until the root of the equation is obtained, which is the value of unknown term. 2.2 几何与三角 （1）许多专家都认为数学是学习其他科学技术的必备基础和先决条件。 Many experts recognize that mathematics is the necessary foundation and prerequisite of studying other science technology. （2）西方国家的专家认为几何起源于巴比伦和埃及人的土地测量技术，其实中国古代的数学家对几何做了许多出色的研究。 The western experts think that geometry had its origin in the measurements by the Babylonians and Egyptians of their lands. Infect, the ancient Chinese mathematicians made much remarkable study for geometry. （3）几何的学习使学生在思考问题时更周密和审慎，他们将不会盲目接受任何结论。 In studying geometry, the student is taught to think clearly and critically and he is led away from the practice of blind acceptance of any conclusions. （4）数学培养学生的分析问题的能力，使他们能应用毅力、创造性和逻辑推理来解决问题。
机械专业英文翻译 Company number：【WTUT-WT88Y-W8BBGB-BWYTT-19998】
启动轴 starting axle 启动齿轮starting gear 启动棘轮 starting ratchet wheel 复位弹簧 restoring, pull back spring 弹簧座 spring seating 摩擦簧friction spring 推力垫圈 thrust washer 轴挡圈axle bumper ring 下料 filling 切断 cut 滚齿机 gear-hobbing machine 剪料机 material-shearing machine 车床 lathe 拉床 broaching machine 垂直度 verticality, vertical extent 平行度 parallelism同 心度 homocentricity 位置度 position 拉伤 pulling damage 碰伤 bumping damage 缺陷 deficiency 严重缺陷 severe deficiency 摩擦力 friction 扭距 twist 滑动 glide 滚动 roll 打滑 skid 脱不开 can’t seperate 不复位 can’t restore 直径 diameter M值 = 跨棒距 test rod span 公法线 common normal line 弹性 elasticity 频率特性 frequency characteristic 误差 error 响应 response 定位 allocation 机床夹具 jig 动力学 dynamic 运动学 kinematic 静力学 static 分析力学 analyse mechanics 拉伸 pulling 压缩 hitting 机床 machine tool 刀具 cutter 摩擦 friction 联结 link 传动 drive/transmission 轴 shaft 剪切 shear 扭转 twist 弯曲应力 bending stress 三相交流电 three-phase AC 磁路 magnetic circles 变压器 transformer 异步电动机 asynchronous motor 几何形状 geometrical 精度 precision 正弦形的 sinusoid 交流电路 AC circuit 机械加工余量 machining allowance 变形力 deforming force 变形 deformation 电路 circuit 半导体元件 semiconductor element 拉孔 broaching 装配 assembling 加工 machining 液压 hydraulic pressure 切线 tangent 机电一体化 mechanotronics mechanical-electrical integration 稳定性 stability 介质 medium 液压驱动泵 fluid clutch 液压泵 hydraulic pump 阀门 valve 失效 invalidation 强度 intensity 载荷 load 应力 stress 安全系数 safty factor 可靠性 reliability 螺纹 thread 螺旋 helix 键 spline 销 pin 滚动轴承 rolling bearing 滑动轴承 sliding bearing 弹簧 spring 制动器 arrester brake 十字结联轴节 crosshead 联轴器 coupling 链 chain 皮带 strap 精加工 finish machining 粗加工 rough machining 变速箱体 gearbox casing 腐蚀 rust 氧化 oxidation 磨损 wear 耐用度 durability 机械制图 Mechanical drawing 投影 projection 视图 view 剖视图 profile chart 标准件 standard component 零件图 part drawing 装配图 assembly drawing 尺寸标注 size marking 技术要求 technical requirements 刚度 rigidity 内力 internal force 位移 displacement 截面 section 疲劳极限 fatigue limit 断裂 fracture 塑性变形 plastic distortion 脆性材料 brittleness material 刚度准则 rigidity criterion 垫圈 washer 垫片 spacer 直齿圆柱齿轮 straight toothed spur gear 斜齿圆柱齿轮 helical-spur gear 直齿锥齿轮 straight bevel gear 运动简图 kinematic sketch 齿轮齿条 pinion and rack 蜗杆蜗轮 worm and worm gear 虚约束 passive constraint 曲柄 crank 摇杆 racker 凸轮 cams 反馈 feedback 发生器 generator
01 THE ELEMENTS AND THE PERIODIC TABLE 01 元素和元素周期表 The number of protons in the nucleus of an atom is referred to as the atomic number, or proton number, Z. The number of electrons in an electrically neutral atom is also equal to the atomic number, Z. The total mass of an atom is determined very nearly by the total number of protons and neutrons in its nucleus. This total is called the mass number, A. The number of neutrons in an atom, the neutron number, is given by the quantity A-Z. 在一个原子核中的质子数量被称为原子序数，或质子数，Z。在一个电中性原子中的电子数量也等于原子序数，Z。一个原子的总质量被测定是非常接近于原子核中质子和中子的总数。这个总数被称为质量数，A。在一个原子中的中子数量等于A – Z的数量。 The term element refers to, a pure substance with atoms all of a single kind. To the chemist the "kind" of atom is specified by its atomic number, since this is the property that determines its chemical behavior. At present all the atoms from Z = 1 to Z = 107 are known; there are 107 chemical elements. Each chemical element has been given a name and a distinctive symbol. For most elements the symbol is simply the abbreviated form of the English name consisting of one or two letters, for example: 这个术语(指chemical element)也可以指由相同质子数的原子组成的纯化学物质。对化学家来说，这类原子通过原子数来说明，因为它的性质是决定其化学行为。目前，从Z = 1 到Z = 107的所有原子是知道的；有107种化学元素。每一种化学元素起了一个名字和独特的象征。对于大多数元素都仅仅是一个象征的英文名称缩写形式，由一个或两个字母组成，例如：
Unit 1 Chemical Industry 化学工业 1.Origins of the Chemical Industry Although the use of chemicals dates back to the ancient civilizations, the evolution of what we know as the modern chemical industry started much more recently. It may be considered to have begun during the Industrial Revolution, about 1800, and developed to provide chemicals roe use by other industries. Examples are alkali for soapmaking, bleaching powder for cotton, and silica and sodium carbonate for glassmaking. It will be noted that these are all inorganic chemicals. The organic chemicals industry started in the 1860s with the exploitation of William Henry Perkin‘s discovery if the first synthetic dyestuff—mauve. At the start of the twentieth century the emphasis on research on the applied aspects of chemistry in Germany had paid off handsomely, and by 1914 had resulted in the German chemical industry having 75% of the world market in chemicals. This was based on the discovery of new dyestuffs plus the development of both the contact process for sulphuric acid and the Haber process for ammonia. The later required a major technological breakthrough that of being able to carry out chemical reactions under conditions of very high pressure for the first time. The experience gained with this was to stand Germany in good stead, particularly with the rapidly increased demand for nitrogen-based compounds (ammonium salts for fertilizers and nitric acid for explosives manufacture) with the outbreak of world warⅠin 1914. This initiated profound changes which continued during the inter-war years (1918-1939). 1．化学工业的起源 尽管化学品的使用可以追溯到古代文明时代，我们所谓的现代化学工业的发展却是非常近代（才开始的）。可以认为它起源于工业革命其间，大约在1800年，并发展成为为其它工业部门提供化学原料的产业。比如制肥皂所用的碱，棉布生产所用的漂白粉，玻璃制造业所用的硅及Na2CO3. 我们会注意到所有这些都是无机物。有机化学工业的开始是在十九世纪六十年代以William Henry Perkin 发现第一种合成染料—苯胺紫并加以开发利用为标志的。20世纪初，德国花费大量资金用于实用化学方面的重点研究，到1914年，德国的化学工业在世界化学产品市场上占有75%的份额。这要归因于新染料的发现以及硫酸的接触法生产和氨的哈伯生产工艺的发展。而后者需要较大的技术突破使得化学反应第一次可以在非常高的压力条件下进行。这方面所取得的成绩对德国很有帮助。特别是由于1914年第一次世界大仗的爆发，对以氮为基础的化合物的需求飞速增长。这种深刻的改变一直持续到战后（1918-1939）。 date bake to/from: 回溯到 dated: 过时的，陈旧的 stand sb. in good stead: 对。。。很有帮助
“数学专业英语一次函数专题”教学设计 1. 教学内容及解析 教学内容：与直角坐标系及一次函数相关的英语文献资料 内容解析：本节内容应从两个方面去考虑. 一方面，从数学知识的角度，本节所涉及的是从平面直角坐标系到一次函数的数学知识，都是学生学过的基础知识及其应用，是对于这些知识的拉练式复习，并作为后面用英语叙述解答相关问题知识基础；另一方面，从语言的角度，学生会接触到大量没有接触过，但他们却很熟悉的英语词汇及短语，主动学习的学生可以在老师的指导下快速理解其含义并加入到自己的知识体系中，但需要花时间巩固，是需要读、写、说来巩固的内容. 这也正是本节的重点和难点所在. 2. 教学目标及解析 教学目标：①能根据已有的数学知识和给出的单词对照表，将给出的相关数学定理及结论的英语版本翻译为中文；②能理解并解答用英语表述的相关数学问题；③能将解决数学问题的过程用英语进行书面表述；④初步了解用英语表达与直角坐标系及一次函数相关数学理论的范式. 目标解析：学生掌握基本词汇，并能阅读与本节内容相关的英语文献，是学习和使用数学专业英语的最基本要求，学生需要在学习的过程中逐渐由接受，即阅读或聆听，逐渐向输出，即书面和口头表达的方向发展. 为达到此目标，学生需要在课前独立完成对于本节需要的单词的学习，并阅读一系列简短的相关数学文献，并在这个过程中初步体会数学专业英语的表达范式；在课堂上，在教师的指导下对自己的认知进一步补充，并进行一定量的练习，暴露自己的问题，在教师的帮助下修正问题，完善认知. 3. 教学问题诊断分析 学生在进行语言表达时，往往受到母语的限制，对于非母语的表达方式的接受能力一时难以习惯，而数学对于表达能力则有更高的要求，要求叙述简洁、逻辑清晰，因此本教学设计强调学生在有相当阅读量的积累后，通过自主练习，逐渐感受用英语表达数学理论的基本范式. 教师在教学过程中的主要任务在于为学生提供合适的学习资料，在学生学习的过程中给予提示与指导，及时指出学生的问题并予以纠正. 对于语言的学习，阅读量的积累是至关重要的，教师在课堂上的讲解、学生在课堂上的练习，都只是学习的一部分环节，如果需要帮助学生正确掌握表达数学理论的范式，尽量不留死角，就必须保证课前预习和课后复习的有效性，预习复习材料的充足性，这对教师的教学资料的积累和学生自主学习能力，都是一个挑战. 4. 教学支持条件分析 学情条件：初二8班是实验班，学生有较强的学习热情和好奇心，也知道课前预习、课上参与学习活动、课后复习的重要性，在曾经的数学课程教学中，也有一定的课前预习，课堂讨论的传统，对于本教学设计的各个环节，是可以理解教师的用意，并遵循教师的指导进行学习活动. 在知识层面上，学生已经系统学习过一次函数相关的知识，课程中提供的学习资料都是学生熟悉的数学知识；学生在英语学习上，已经有多年的积累，对于英语语法的学
2、应力和应变 在任何工程结构中独立的部件或构件将承受来自于部件的使用状况或工作的外部环境的外力作用。如果组件就处于平衡状态,由此而来的各种外力将会为零,但尽管如此,它们共同作用部件的载荷易于使部件变形同时在材料里面产生相应的内力。 有很多不同负载可以应用于构件的方式。负荷根据相应时间的不同可分为: (a)静态负荷是一种在相对较短的时间内逐步达到平衡的应用载荷。 (b)持续负载是一种在很长一段时间为一个常数的载荷, 例如结构的重量。这种类型的载荷以相同的方式作为一个静态负荷; 然而,对一些材料与温度和压力的条件下,短时间的载荷和长时间的载荷抵抗失效的能力可能是不同的。 (c)冲击载荷是一种快速载荷(一种能量载荷)。振动通常导致一个冲击载荷, 一般平衡是不能建立的直到通过自然的阻尼力的作用使振动停止的时候。 (d)重复载荷是一种被应用和去除千万次的载荷。 (e)疲劳载荷或交变载荷是一种大小和设计随时间不断变化的载荷。 上面已经提到，作用于物体的外力与在材料里面产生的相应内力平衡。因此,如果一个杆受到一个均匀的拉伸和压缩，也就是说, 一个力,均匀分布于一截面,那么产生的内力也均匀分布并且可以说杆是受到一个均匀的正常应力,应力被定义为 应力==负载 P /压力 A, 因此根据载荷的性质应力是可以压缩或拉伸的,并被度量为牛顿每平方米或它的倍数。 如果一个杆受到轴向载荷，即是应力，那么杆的长度会改变。如果杆的初始长度L和改变量△L已知，产生的应力定义如下: 应力==改变长△L /初始长 L 因此应力是一个测量材料变形和无量纲的物理量 ,即它没有单位;它只是两个相同单位的物理量的比值。 一般来说,在实践中,在荷载作用下材料的延伸是非常小的, 测量的应力以*10-6的形式是方便的, 即微应变, 使用的符号也相应成为ue。 从某种意义上说，拉伸应力与应变被认为是正的。压缩应力与应变被认为是负的。因此负应力使长度减小。 当负载移除时，如果材料回复到初始的，无负载时的尺寸时，我们就说它是具有弹性的。一特定形式的适用于大范围的工程材料至少工程材料受载荷的大部分的弹性, 产生正比于负载的变形。由于载荷正比于载荷所产生的压力并且变形正比于应变, 这也说明,当材料是弹性的时候, 应力与应变成正比。因此胡克定律陈述, 应力正比于应变。 这定律服从于大部分铁合金在特定的范围内, 甚至以其合理的准确性可以假定适用于其他工程材料比如混凝土，木材，非铁合金。 当一个材料是弹性的时候，当载荷消除之后，任何负载所产生的变形可以完全恢复,没有永久的变形。
Unit 2 Research and Development 研究和开发 Research and development, or R&D as it is commonly referred to, is an activity which is carried out by all sectors of manufacturing industry but its extent varies considerably, as we will see shortly. Let us first understand, or at least get a feel for, what the terms mean. Although the distinction between research and development is not always clear-cut, and there is often considerable overlap, we will attempt to separate them. In simple terms research can be thought of as the activity which produces new ideas and knowledge whereas development is putting those ideas into practice as new process and products. To illustrate this with an example, predicting the structure of a new molecule which would have a specific biological activity and synthesizing it could be seen as research whereas testing it and developing it to the point where it could be marketed as a new drug could be described as the development part. 研究和开发，或通常所称R&D是制造业各个部门都要进行的一项活动。我们马上可以看到，它的内容变化很大。我们首先了解或先感觉一下这个词的含义。尽管研究和开发的定义总是分得不很清楚，而且有许多重叠的部分，我们还是要试着把它们区分开来。简单说来，研究是产生新思想和新知识的活动，而开发则是把这些思想贯彻到实践中得到新工艺和新产品的行为。可以用一个例子来描述这一点，预测一个有特殊生物活性的分子结构并合成它可以看成是研究而测试它并把它发展到可以作为一种新药推向市场这一阶段则看作开发部分。 1.Fundamental Research and Applied Research In industry the primary reason for carting out R&D is economic and is to strengthen and improve the company?s position and profitability. The purpose of R&D is to generate and provide information and knowledge to reduce uncertainty, solve problems and to provide better data on which management can base decisions. Specific projects cover a wide range of activities and time scales, from a few months to 20 years. 1．基础研究和应用研究 在工业上进行研究和开发最主要的原因是经济利益方面，是为了加强公司的地位，提高公司的利润。R&D的目的是做出并提供信息和知识以减低不确定性，解决问题，以及向管理层提供更好的数据以便他们能据此做出决定。特别的项目涵盖很大的活动范围和时间范围，从几个月到20年。 We can pick out a number of areas of R&D activity in the following paragraphs but if we were to start with those which were to spring to the mind of the academic, rather than the industrial, chemist then these would be basic, fundamental (background) or exploratory research and the synthesis of new compounds. This is also labeled “blue skies” research. 我们可以在后面的段落里举出大量的R&D活动。但是如果我们举出的点子来源于研究院而不是工业化学家的头脑，这就是基础的或探索性的研究 Fundamental research is typically associated with university research. It may be carried out for its own intrinsic interest and it will add to the total knowledge base but no immediate applications of it in the “real world” well be apparent. Note that it will provide a valuable
2.1数学、方程与比例 词组翻译 1.数学分支branches of mathematics，算数arithmetics，几何学geometry，代数学algebra，三角学trigonometry，高等数学higher mathematics，初等数学elementary mathematics，高等代数higher algebra，数学分析mathematical analysis，函数论function theory，微分方程differential equation 2.命题proposition，公理axiom，公设postulate，定义definition，定理theorem，引理lemma，推论deduction 3.形form，数number，数字numeral，数值numerical value，图形figure，公式formula，符号notation(symbol)，记法/记号sign，图表chart 4.概念conception，相等equality，成立/真true，不成立/不真untrue，等式equation，恒等式identity，条件等式equation of condition，项/术语term，集set，函数function，常数constant，方程equation，线性方程linear equation，二次方程quadratic equation 5.运算operation，加法addition，减法subtraction，乘法multiplication，除法division，证明proof，推理deduction，逻辑推理logical deduction 6.测量土地to measure land，推导定理to deduce theorems，指定的运算indicated operation，获得结论to obtain the conclusions，占据中心地位to occupy the centric place 汉译英 （1）数学来源于人类的社会实践，包括工农业的劳动，商业、军事和科学技术研究等活动。 Mathematics comes from man’s social practice, for example, industrial and agricultural production, commercial activities, military operations and scientific and technological researches. （2）如果没有运用数学，任何一个科学技术分支都不可能正常地发展。 No modern scientific and technological branches could be regularly developed without the application of mathematics. （3）符号在数学中起着非常重要的作用，它常用于表示概念和命题。 Notations are a special and powerful tool of mathematics and are used to express conceptions and propositions very often. （4）17 世纪之前，人们局限于初等数学，即几何、三角和代数，那时只考虑常数。 Before 17th century, man confined himself to the elementary mathematics, i. e. , geometry, trigonometry and algebra, in which only the constants were considered. （5）方程与算数的等式不同在于它含有可以参加运算的未知量。 Equation is different from arithmetic identity in that it contains unknown quantity which can join operations. （6）方程又称为条件等式，因为其中的未知量通常只允许取某些特定的值。Equipment is called an equation of condition in that it is true only for certain values of unknown quantities in it. （7）方程很有用，可以用它来解决许多实际应用问题。