Some symmetry results for optimal solutions in structural optimization

Xu Guo; Changhui Ni; Gengdong Cheng; Zongliang Du

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Some symmetry results for optimal solutions in structural optimization

机译：结构优化中最优解的一些对称结果

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摘要

In the present paper, some symmetry results for optimal solutions in structural optimization have been proposed and proven. It is found that under some invariant assumptions, for many structural optimization problems that can be formulated as convex programs, there exists at least one symmetric global optimal solution if the prescribed loading and support conditions are symmetric. Furthermore, for some specific non-convex cases, a weaker result is also presented.

机译：本文提出并证明了结构优化中最优解的一些对称结果。发现在一些不变的假设下，对于许多可以被构造为凸程序的结构优化问题，如果规定的载荷和支撑条件是对称的，则至少存在一个对称的全局最优解。此外，对于某些特定的非凸情况，结果也较弱。

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来源
《Structural and Multidisciplinary Optimization》 |2012年第5期|631-645|共15页
作者
Xu Guo; Changhui Ni; Gengdong Cheng; Zongliang Du;
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作者单位

State Key Laboratory of Structural Analysis for Industrial Equipment Department of Engineering Mechanics Dalian University of Technology Dalian 116023 People’s Republic of China;

State Key Laboratory of Structural Analysis for Industrial Equipment Department of Engineering Mechanics Dalian University of Technology Dalian 116023 People’s Republic of China;

State Key Laboratory of Structural Analysis for Industrial Equipment Department of Engineering Mechanics Dalian University of Technology Dalian 116023 People’s Republic of China;

State Key Laboratory of Structural Analysis for Industrial Equipment Department of Engineering Mechanics Dalian University of Technology Dalian 116023 People’s Republic of China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Symmetry; Structural optimization; Convex programming;

机译：对称性;结构优化;凸规划;

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1. Some symmetry results for optimal solutions in structural optimization [J] . Guo X., Ni C., Cheng G., Structural and multidisciplinary optimization . 2012,第5期

机译：结构优化中最优解的一些对称结果
2. Symmetry and asymmetry of solutions in discrete variable structural optimization [J] . Richardson J.N., Adriaenssens S., Bouillard P., Structural and multidisciplinary optimization . 2013,第5期

机译：离散变量结构优化中解的对称性与不对称性
3. An efficient and practical approach to obtain a better optimum solution for structural optimization [J] . Ting-Yu Chen, Jyun-Hao Huang Engineering Optimization . 2013,第7a9期

机译：一种有效，实用的方法，以获得用于结构优化的更好的最佳解决方案
4. Symmetry method and sufficient condition of optimality in a class of domain optimization problems [C] . Belov, S., Fujii, . 1996

机译：一类域优化问题的对称方法和最优性的充分条件
5. Model Updating in Structural Dynamics: Advanced Parametrization, Optimal Regularization, and Symmetry Considerations [D] . Bartilson, Daniel Thomas 2019

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6. Redesigning symmetry-related mini-core regions of FGF-1 to increase primary structure symmetry: Thermodynamic and functional consequences of structural symmetry [O] . Vikash Kumar Dubey, Jihun Lee, Michael Blaber 2005

机译：重新设计FGF-1的与对称性相关的微型核心区域以增加一级结构对称性：结构对称性的热力学和功能性后果
7. Existence and continuity of optimal solutions to some structural topology optimization problems including unilateral constraints and stochastic loads [O] . Patriksson, Michael, Petersson, Joakim 2002

机译：某些结构拓扑优化问题（包括单边约束和随机载荷）的最优解的存在性和连续性
8. Structural Optimization of Large Structural Systems by Optimality CriteriaMethods [R] . Berke, L. 1992

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Some symmetry results for optimal solutions in structural optimization

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