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1、English for Mechanical Engineering机械工程专业英语常州工学院机电工程学院徐红丽Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工程专业英语机械工程专业英语预备知识预备知识Lesson 3 Optimization for Finite Element Applications 一、一、Background InformationnFinite Element Method ( 有
2、限元法有限元法) The finite element method (FEM) (sometimes referred to as finite element analysis) is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations. Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.
3、0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工程专业英语机械工程专业英语预备知识预备知识Lesson 3 Optimization for Finite Element Applications 一、一、Background InformationnFinite Element Method ( 有限元法有限元法) The solution approach is based either on eliminating the differential equation completely (steady state problems), or rend
4、ering the PDE into an approximating system of ordinary differential equations, which are then numerically integrated using standard techniques such as Eulers method, Runge-Kutta, etc.Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工
5、程专业英语机械工程专业英语预备知识预备知识Lesson 3 Optimization for Finite Element Applications 一、一、Background InformationnFinite Element Method ( 有限元法有限元法) In solving partial differential equations, the primary challenge is to create an equation that approximates the equation to be studied, but is numerically stable, m
6、eaning that errors in the input data and intermediate calculations do not accumulate and cause the resulting output to be meaningless. There are many ways of doing this, all with advantages and disadvantages. The Finite Element Method is a good choice for solving partial differential equations over
7、complex domains (like cars and oil pipelines), when the domain changes (as during a solid state reaction with a moving boundary), when the desired precision varies over the entire domain, or when the solution lacks smoothness. Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.
8、2.0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工程专业英语机械工程专业英语预备知识预备知识Lesson 3 Optimization for Finite Element Applications 一、一、Background InformationnFinite Element Method ( 有限元法有限元法) For instance, in a frontal crash simulation it is possible to increase prediction accuracy in important areas like the f
9、ront of the car and reduce it in its rear (thus reducing cost of the simulation); Another example would be the simulation of the weather pattern on Earth, where it is more important to have accurate predictions over land than over the wide-open sea.Evaluation only.Created with Aspose.Slides for .NET
10、 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工程专业英语机械工程专业英语预备知识预备知识Lesson 3 Optimization for Finite Element Applications 一、一、Background InformationnFinite Element Method ( 有限元法有限元法) The finite-element method originated from the need for solving complex elasticity and structural a
11、nalysis problems in civil and aeronautical engineering. Its development can be traced back to the work by Alexander Hrennikoff (1941) and Richard Courant (1942). While the approaches used by these pioneers are dramatically different, they share one essential characteristic: mesh discretization of a
12、continuous domain into a set of discrete sub-domains, usually called elements. Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工程专业英语机械工程专业英语预备知识预备知识Lesson 3 Optimization for Finite Element Applications 一、一、Background InformationnFi
13、nite Element Method ( 有限元法有限元法)Development of the finite element method began in earnest in the middle to late 1950s for airframe and structural analysis and gathered momentum at the University of Stuttgart through the work of John Argyris and at Berkeley through the work of Ray W. Clough in the 196
14、0s for use in civil engineering. By late 1950s, the key concepts of stiffness matrix and element assembly existed essentially in the form used today. NASA issued request for proposals for the development of the finite element software NASTRAN in 1965. Evaluation only.Created with Aspose.Slides for .
15、NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工程专业英语机械工程专业英语预备知识预备知识Lesson 3 Optimization for Finite Element Applications 一、一、Background InformationnFinite Element Method ( 有限元法有限元法) A variety of specializations under the umbrella of the mechanical engineering discipline (such
16、as aeronautical, biomechanical, and automotive industries) commonly use integrated FEM in design and development of their products. Several modern FEM packages include specific components such as thermal, electromagnetic, fluid, and structural working environments. In a structural simulation, FEM he
17、lps tremendously in producing stiffness and strength visualizations and also in minimizing weight, materials, and costs.Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工程专业英语机械工程专业英语预备知识预备知识Lesson 3 Optimization for Finite Element A
18、pplications 一、一、Background InformationnFinite Element Method ( 有限元法有限元法) FEM allows detailed visualization of where structures bend or twist, and indicates the distribution of stresses and displacements. FEM software provides a wide range of simulation options for controlling the complexity of both
19、modeling and analysis of a system. Similarly, the desired level of accuracy required and associated computational time requirements can be managed simultaneously to address most engineering applications. FEM allows entire designs to be constructed, refined, and optimized before the design is manufac
20、tured.Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工程专业英语机械工程专业英语预备知识预备知识Lesson 3 Optimization for Finite Element Applications 一、一、Background InformationnFinite Element Method ( 有限元法有限元法) This powerful design tool has significant
21、ly improved both the standard of engineering designs and the methodology of the design process in many industrial applications. The introduction of FEM has substantially decreased the time to take products from concept to the production line. It is primarily through improved initial prototype design
22、s using FEM that testing and development have been accelerated. In summary, benefits of FEM include increased accuracy, enhanced design and better insight into critical design parameters, virtual prototyping, fewer hardware prototypes, a faster and less expensive design cycle, increased productivity
23、, and increased revenue.Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工程专业英语机械工程专业英语预备知识预备知识Lesson 3 Optimization for Finite Element Applications 一、一、Background InformationnFinite Element Method ( 有限元法有限元法)General form of the fini
24、te element method lChoose a grid. In the preceding treatment, the grid consisted of triangles, but one can also use squares or curvilinear polygons. lThen, one chooses basis functions. We used piecewise linear basis functions, but it is also common to use piecewise polynomial basis functions. Evalua
25、tion only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工程专业英语机械工程专业英语预备知识预备知识Lesson 3 Optimization for Finite Element Applications 一、一、Background InformationnFinite Element Method ( 有限元法有限元法)General form of the finite element method lBy analyzin
26、g the response of each finite element of the object to the stress, strain, heat, or other force acting on it ,the computer can predict the reaction of the whole object.lThere is a trade-off between accuracy and computation time Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5
27、.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.预备知识预备知识 一、预备知识一、预备知识u有限元法起源于有限元法起源于50年代航空工程中的机构分析矩阵法。为年代航空工程中的机构分析矩阵法。为了解决航空结构设计问题，了解决航空结构设计问题，Turner、Clough等人首次采用等人首次采用三角形和矩形单元，成功地将结构力学中的位移用于平面应三角形和矩形单元，成功地将结构力学中的位移用于平面应力问题的求解，力问题的求解，1960年，首次提出了年，首次提出了“有限元法有限元法”。 u有限元法的基本步骤：有限元法的基本步骤：1）结构离散）结构离散-网格划分，关系到
28、有限元网格划分，关系到有限元计算的速度和精度计算的速度和精度2）单元分析：建立各节点位移和节点力）单元分析：建立各节点位移和节点力之间的关系，从而求出单元刚度矩阵之间的关系，从而求出单元刚度矩阵3）等效节点载荷计算）等效节点载荷计算4）整体分析，建立整体刚度方程）整体分析，建立整体刚度方程5）约束条件引入和方程求解）约束条件引入和方程求解Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Clie
29、nt Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工程专业英语机械工程专业英语预备知识预备知识Lesson 3 Optimization for Finite Element Applications 一、一、Background InformationnDesign Optimization ( 优化设计优化设计) Typical engineering systems are described by very large numbers of variables, and it is the designers task to
30、 specify appropriate values for these variables. Skilled designers utilize their knowledge, experience, and judgment to specify these variables and design effective engineering systems. Because of the size and complexity of the typical design task, however, even the most skilled designers are unable
31、 to take into account all of the variables simultaneously. Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工程专业英语机械工程专业英语预备知识预备知识Lesson 3 Optimization for Finite Element Applications 一、一、Background InformationnDesign Optimization (
32、优化设计优化设计) In mathematics, optimization, or mathematical programming, refers to choosing the best element from some set of available alternatives. Optimization methodologies can be applied during the product development stage to ensure that the finished design will have the high performance, high rel
33、iability, low weight, and/or low cost. Alternatively, optimization methods can be applied to existing products to identify potential design improvements. Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.机械工程专业英语机械工程专业英语预备知识预备知识 一、预备知识一
34、、预备知识Lesson 3 Optimization for Finite Element Applications u最优化问题：希望在可能的条件下用最少的付出最优化问题：希望在可能的条件下用最少的付出得最满意的效果。得最满意的效果。u最优化设计：借助最优化数值计算方法和计算机最优化设计：借助最优化数值计算方法和计算机技术，求取工程问题的最优设计方案。技术，求取工程问题的最优设计方案。-用数学方用数学方法解决设计问题的设计方法。法解决设计问题的设计方法。u最优化设计的数学模型：最优化设计的数学模型：由设计变量、目标函数和约束条件组成由设计变量、目标函数和约束条件组成Evaluation on
35、ly.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.optimization 7Cptimai5zeiFen7Cptimai5zeiFen n. 优化，优选（法）优化，优选（法） finite element analysis5fainait5fainait5elimEnt5elimEnt E5nAlEsisE5nAlEsis n. 有限元分析有限元分析iterative 5itErEtiv5itErEtiv adj. 反复的反复的 迭代的迭代的
36、alternative C:l5tE:nEtivC:l5tE:nEtiv n. 二中择一二中择一, 可供选择的办法可供选择的办法, 事事物物 adj. 交替的交替的 可供选择的可供选择的manual 5mAnjuEl5mAnjuEl adj. 手工的，人工的手工的，人工的trial-and-error 反复试验反复试验 试凑法试凑法bias 5baiEs5baiEs n. 偏向（重、差）偏向（重、差）vt. 使存偏见使存偏见a desktop platform 桌面平台桌面平台 词词 汇汇 二、词汇二、词汇Lesson 3 Optimization for Finite Element App
37、lications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. 二、词汇二、词汇Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语constrain(t) kEn5streinEn5strein n. vt. 强制强制 约束约束response ris5pCnsris5pCns n. 反应反
38、应 灵敏度灵敏度parameter pE5rAmitEE5rAmitE n. 参数，参量参数，参量 parametric 7pArE5metrik7pArE5metrik adj. mesh meFmeF n. 网格网格 vt. 以网捕捉，啮合，编织，以网捕捉，啮合，编织，vi. 落网，落网，相啮合相啮合capability 7keipE5biliti7keipE5biliti n. 能力，性能，容量能力，性能，容量loop lu:plu:p n. 循环循环 closed loop闭环闭环 open loop 开环开环pose pEuzpEuz vt. 摆出摆出.姿态，提出姿态，提出model
39、 5mCdl5mCdl n. 模型，样品模型，样品词词 汇汇Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.displacement dis5pleismEnt5pleismEnt n. 位移，排量，替换位移，排量，替换buckling 5bQkliN5bQkliN n. 弯曲，翘曲，挠度弯曲，翘曲，挠度factor 5fA ktE5fA ktE n. 因素因素gradient 5greidiEnt5greidiEn
40、t n.梯度，倾斜度，坡度，倾斜的梯度，倾斜度，坡度，倾斜的flux flQksflQks n. 通量，流量，通量，流量，vi. 溶化，流出溶化，流出 vt.使溶融，用使溶融，用焊剂处理焊剂处理 multidisciplinary 7mQlti5disiplinEri7mQlti5disiplinEri adj. 多学科的多学科的 deflection di5flekFEndi5flekFEn n. 偏转，挠曲偏转，挠曲objective function 目标函数目标函数 preprocesspri:5prEusespri:5prEuses 预处理预处理词词 汇汇 二、词汇二、词汇Lesso
41、n 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. As engineers work with increasingly complex structures, they need rational, reliable, fast, and economical design tools.
42、 Over the past two decades, finite element analysis has proven to be the most frequently used method of identifying and solving the problems associated with these complicated designs. 课文分析课文分析Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Sl
43、ides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.As engineers work with increasingly complex structures, they need rational, reliable, fast, and economical design tools.课文分析课文分析当工程师们需要求解越来越复杂的结构问题时，他们当工程师们需要求解越来越复杂的结构问题时，他们需要合理的、可靠的、快速而经济的设计工具。需要合理的、可靠的、快速而经济的设计工具。 Over th
44、e past two decades, finite element analysis has proven to be the most frequently used method of identifying and solving the problems associated with these complicated designs. 过去二十年里，有限元分析已经成为确定和解决涉及过去二十年里，有限元分析已经成为确定和解决涉及这些复杂设计问题时的最常用方法。这些复杂设计问题时的最常用方法。Lesson 3 Optimization for Finite Element Appli
45、cations 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. Because most of the design tasks in engineering are quantifiable, computers have revolutionized the highly iterative design process, particularly the procedures
46、for quickly finding alternative designs. But even now, many engineers still follow a manual trial and error approach, Such all approach makes designing even for seemingly simple tasks more difficult because it usually takes longer, requires extensive human machine interaction, and tends to be biased
47、 by the design groups experience. 课文分析课文分析Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.Because most of the design tasks in engineering are quantifiable, computer
48、s have revolutionized the highly iterative design process, particularly the procedures for quickly finding alternative designs.课文分析课文分析因为工程实践中的大多数设计任务都是可量化因为工程实践中的大多数设计任务都是可量化的，计算机彻底改变了繁琐的重复设计过程，的，计算机彻底改变了繁琐的重复设计过程，特别是有了快速找到比较设计方案的程序。特别是有了快速找到比较设计方案的程序。 Lesson 3 Optimization for Finite Element Appli
49、cations adj.可以计量的，可以计量的，可计量的可计量的itrtivadj. 重复的重复的,迭代的迭代的机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.But even now, many engineers still follow a manual trial-and-error approach, Such all approach makes designing eve
50、n for seemingly simple tasks more difficult because it usually takes longer, requires extensive human machine interaction, and tends to be biased by the design groups experience.课文分析课文分析但是，即使是现在，许多工程师仍然使用人工试凑法。但是，即使是现在，许多工程师仍然使用人工试凑法。这种方法使得设计过程、即使是很简单的设计任务也这种方法使得设计过程、即使是很简单的设计任务也变得困难，因为通常它要花更长的时间，需要
51、广泛的变得困难，因为通常它要花更长的时间，需要广泛的人人机交流，且设计质量取决于设计人员的经验。机交流，且设计质量取决于设计人员的经验。 Lesson 3 Optimization for Finite Element Applications 试凑法试凑法取决于取决于机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. Design optimization, which is base
52、d on a rational mathematical approach to modifying designs too complex for the engineer to modify, automates the design cycle. 课文分析课文分析优化设计是以合理的数学推倒方法为基础，改进那些优化设计是以合理的数学推倒方法为基础，改进那些对于工程师来说过于复杂无法改进的设计，使设计过对于工程师来说过于复杂无法改进的设计，使设计过程自动化。程自动化。 If automated optimization can be done on a desktop platform, i
53、t can save a lot of time and money. 如果在如果在台计算机就能实现自动优化设计，台计算机就能实现自动优化设计，那就可以节省大量的时间和金钱那就可以节省大量的时间和金钱Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. The goal of opt
54、imization is to minimize or maximize an objective, such as weight or fundamental frequency that is subject to constraints on response and design parameters. 课文分析课文分析优化设计的目的就是要将设计目标最大化或最小化，优化设计的目的就是要将设计目标最大化或最小化，例如，重量或基频这些受到频响和设计参数方向的约例如，重量或基频这些受到频响和设计参数方向的约束的对象。束的对象。 The size and/or shape of the des
55、ign determine the optimization approach. 尺寸和尺寸和(或或)结构形状决定着优化设计的方法。结构形状决定着优化设计的方法。 Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. Looking at optimization as part o
56、f the design process makes it easier to understand. The first step includes preprocessing, analysis, and postprocessing, just as ii1 customary finite element analysis (REA) and computer aided design (CAD) program applications (the difference in CAD lies in building the problems geometry in terms of
57、the design parameters). In the second step, the optimization objective and response constraints are defined. And in the last step, the repetitive task of design adjustment is automated. 课文分析课文分析Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.
58、Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. Looking at optimization as part of the design process makes it easier to understand.课文分析课文分析优化过程看作设计过程的一部分，使它变得更容易理解优化过程看作设计过程的一部分，使它变得更容易理解 The first step includes preprocessing, analysis, and postprocessing, just as in
59、customary finite element analysis (FEA) and computer aided design (CAD) program applications (the difference in CAD lies in building the problems geometry in terms of the design parameters).第一步，包括前处理、分析和后处理，正像通常使用的第一步，包括前处理、分析和后处理，正像通常使用的有限元分析有限元分析(FEA)和计算机辅助设计和计算机辅助设计(CAD)程序应用。程序应用。(CAD的特点在于根据设计参数建
60、立了问题的几何图形的特点在于根据设计参数建立了问题的几何图形)。 Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. In the second step, the optimization objective and response constraints are define
61、d.课文分析课文分析第二步，定义优化目标和响应约束。第二步，定义优化目标和响应约束。 And in the last step, the repetitive task of design adjustment is automated. 而最后而最后步，自动化的重复设计过程。步，自动化的重复设计过程。Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0
62、.Copyright 2004-2011 Aspose Pty Ltd. Optimization programs should allow engineers to monitor the progress of the design, stop it if necessary, change the design conditions, and restart. The power of an optimization program depends on the available preprocessing and analysis capabilities. Application
63、s for 2 D and 3 D need both automatic and parametric meshing capabilities. Error estimate and adaptive control must be included because the problems geometry and mesh might change during the optimization loops. 课文分析课文分析Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation
64、only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. Optimization programs should allow engineers to monitor the progress of the design, stop it if necessary, change the design conditions, and restart.课文分析课文分析优化设计程序将允许工程师们监督该设计过程，如果优化设计程序将允许工程师们监督该设
65、计过程，如果必要时可停止设计，改变设计条件并重新开始。必要时可停止设计，改变设计条件并重新开始。 The power of an optimization program depends on the available preprocessing and analysis capabilities.一个优化设计程序的功能取决于其有效的预一个优化设计程序的功能取决于其有效的预处理和分析能力。处理和分析能力。 Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created
66、with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. Applications for 2 D and 3 D need both automatic and parametric meshing capabilities.课文分析课文分析二维和三维设计的应用既需要自动进行也需要设计参二维和三维设计的应用既需要自动进行也需要设计参数的相互匹配性能。数的相互匹配性能。 Error estimate and adaptive control must be include
67、d because the problems geometry and mesh might change during the optimization loops. 因为在优化循环过程中，问题的几何条件和网格会改因为在优化循环过程中，问题的几何条件和网格会改变，所以优化程序必须包含误差估计和自适应控制。变，所以优化程序必须包含误差估计和自适应控制。 Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET
68、3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. Revising, remeshing, and reevaluating models to achieve specific design goals start with preliminary design data input. Next comes the specification of acceptable tolerances and posed constraints to achieve an optimum, or at least improv
69、e, solution. To optimize products ranging from simple skeletal structures to complicated three dimensional solid models, designers need access to a wide variety of design objectives and behavior constraints. Additional capabilities will also be needed for easy definition and use of the following: we
70、ights, volumes, displacements, stresses, strains, frequencies, buckling safely factors, temperatures, temperature gradients, and heat fluxes as constraints and objective functions。 课文分析课文分析Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slide
71、s for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. Revising, remeshing, and reevaluating models to achieve specific design goals start with preliminary design data input.课文分析课文分析修改、重配置和重新估算模型以期获得确定的设计目修改、重配置和重新估算模型以期获得确定的设计目标是以输入预先设定的设计数据开始的。标是以输入预先设定的设计数据开始的。 Next comes the s
72、pecification of acceptable tolerances and posed constraints to achieve an optimum, or at least improve, solution.接着，是规定许用公差并提出约束条件等技术要求以接着，是规定许用公差并提出约束条件等技术要求以获得最优结果，或至少能改进设计，解决问题。获得最优结果，或至少能改进设计，解决问题。 Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with
73、 Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. To optimize products ranging from simple skeletal structures to complicated three dimensional solid models, designers need access to a wide variety of design objectives and behavior constraints.课文分析课文分析为使从简单轮廓图形到复
74、杂三维实体模型的产品得到为使从简单轮廓图形到复杂三维实体模型的产品得到优化，设计者必须利用各种各样的设计目标和特性约优化，设计者必须利用各种各样的设计目标和特性约束条件。束条件。 Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. Additional capabilities w
75、ill also be needed for easy definition and use of the following: weights, volumes, displacements, stresses, strains, frequencies, buckling safely factors, temperatures, temperature gradients, and heat fluxes as constraints and objective functions。课文分析课文分析为了易于定义而利用下列辅助参数作为约束和目标函为了易于定义而利用下列辅助参数作为约束和目标
76、函数也将是必要的：重量、体积、位移、应力，应变，数也将是必要的：重量、体积、位移、应力，应变，频率，抗弯安全系数、温度、温度梯度和临界热负荷。频率，抗弯安全系数、温度、温度梯度和临界热负荷。 Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. Moreover, engineers
77、 should be able to combine constraints from different types of analyses in multidisciplinary optimization. For example, designers can perform thermal analysis and transfer temperatures as thermal loads for stress analysis, put constraints over maximum temperature, maximum stress, and deflection, and
78、 then specify a range for the desired fundamental frequency. The objective function can represent the whole model or only parts of it. Even more important, it should reflect the importance of the different portions of the model by specifying weight or cost factors 课文分析课文分析Lesson 3 Optimization for F
79、inite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. Moreover, engineers should be able to combine constraints from different types of analyses in multidisciplinary optimization.课文分析课文分析此外，工程师们应该
80、能够通过多学科的不同类此外，工程师们应该能够通过多学科的不同类型的优化分析使多种约束条件结合起来。型的优化分析使多种约束条件结合起来。 Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. For example, designers can perform thermal anal
81、ysis and transfer temperatures as thermal loads for stress analysis, put constraints over maximum temperature, maximum stress, and deflection, and then specify a range for the desired fundamental frequency.课文分析课文分析例如，设计者可以进行热分析，为了热应力分析改变例如，设计者可以进行热分析，为了热应力分析改变温度作为热载荷，也可将多种约束条件，诸如最高温温度作为热载荷，也可将多种约束条件
82、，诸如最高温度、最大应力和变形联系在一起进行研究，然后确定度、最大应力和变形联系在一起进行研究，然后确定一个所希望的固有频率范围。一个所希望的固有频率范围。 Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd. The objective function can represent
83、 the whole model or only parts of it.课文分析课文分析目标函数能够代表整个模型或部分模型。目标函数能够代表整个模型或部分模型。 Even more important, it should reflect the importance of the different portions of the model by specifying weight or cost factors。甚至更重要的是通过明确重量或者成本因素，就甚至更重要的是通过明确重量或者成本因素，就应该能反映该模型的各个部分的重要性。应该能反映该模型的各个部分的重要性。 Lesson 3 Optimization for Finite Element Applications 机械工程专业英语机械工程专业英语Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Copyright 2004-2011 Aspose Pty Ltd.
