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Titlebook: An Introduction to Structural Optimization; Peter W. Christensen,Anders Klarbring Textbook 2009 Springer Science+Business Media B.V. 2009

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发表于 2025-3-21 17:53:50 | 显示全部楼层 |阅读模式
期刊全称An Introduction to Structural Optimization
影响因子2023Peter W. Christensen,Anders Klarbring
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发行地址Introductory text that covers all three basic classes of geometry optimization problems of mechanical structures: size, shape as well as topology optimization.The mathematics is kept at an elementary
学科分类Solid Mechanics and Its Applications
图书封面Titlebook: An Introduction to Structural Optimization;  Peter W. Christensen,Anders Klarbring Textbook 2009 Springer Science+Business Media B.V. 2009
影响因子This book has grown out of lectures and courses given at Linköping University, Sweden, over a period of 15 years. It gives an introductory treatment of problems and methods of structural optimization. The three basic classes of geometrical - timization problems of mechanical structures, i. e. , size, shape and topology op- mization, are treated. The focus is on concrete numerical solution methods for d- crete and (?nite element) discretized linear elastic structures. The style is explicit and practical: mathematical proofs are provided when arguments can be kept e- mentary but are otherwise only cited, while implementation details are frequently provided. Moreover, since the text has an emphasis on geometrical design problems, where the design is represented by continuously varying—frequently very many— variables, so-called ?rst order methods are central to the treatment. These methods are based on sensitivity analysis, i. e. , on establishing ?rst order derivatives for - jectives and constraints. The classical ?rst order methods that we emphasize are CONLIN and MMA, which are based on explicit, convex and separable appro- mations. It should be remarked that the classical and frequ
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Astrid Sahm,Manfred Sapper,Volker Weichseluse of the intrinsic difficulties with solving nonconvex problems, we will choose approximations that are convex. In this chapter, a number of explicit, convex approximations will be described. The main focus will be on approximations that take into account specific characteristics of certain structural optimization problems.
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https://doi.org/10.1007/978-3-322-93513-7ariables. There are two main groups of methods: numerical methods, which are all approximate, and analytical methods, which are exact. One may also consider hybrids of methods from these two groups: so-called semianalytical methods.
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https://doi.org/10.1007/978-3-662-41310-4so on how the finite element mesh is generated. In this chapter we will discuss how the nodal sensitivities may be calculated for two-dimensional structures such as plane sheets or axisymmetric bodies.
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Two-Dimensional Shape Optimization,so on how the finite element mesh is generated. In this chapter we will discuss how the nodal sensitivities may be calculated for two-dimensional structures such as plane sheets or axisymmetric bodies.
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0925-0042 ology optimization.The mathematics is kept at an elementary This book has grown out of lectures and courses given at Linköping University, Sweden, over a period of 15 years. It gives an introductory treatment of problems and methods of structural optimization. The three basic classes of geometrical
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Examples of Optimization of Discrete Parameter Systems,combined shape and sizing optimization of a two-bar truss is given in Exercise 2.5. Despite their simplicity, it turns out that these problems display several general features of structural optimization problems.
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