Optimum design of flexible structures under constraints on strain energy and asymptotic stability

M. Ohsaki

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Optimum design of flexible structures under constraints on strain energy and asymptotic stability

机译：应变能和渐近稳定性约束下柔性结构的优化设计

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摘要

A new concept and optimization method are presented for designing a flexible structure that allows large deformation. Constraint is given for the minimum strain energy that can be stored for specified norm of displacement, as well as asymptotic stability of the undeformed state within the region defined by the specified displacement norm. The optimal solution is obtained by solving a two-level optimization problem. Examples are given for 2-bar and 24-bar trusses. Asymptotic stability of the optimized truss is verified by carrying out dynamic analysis for given random initial velocity that is equivalent to the specified strain energy.

机译：提出了一种新的概念和优化方法，用于设计允许较大变形的柔性结构。给出了对于指定位移规范可以存储的最小应变能的约束，以及在指定位移规范定义的区域内未变形状态的渐近稳定性。通过解决两级优化问题来获得最优解。给出了2杆和24杆桁架的示例。通过对给定的随机初始速度进行动态分析，验证了优化桁架的渐近稳定性，该速度等于指定的应变能。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2003年第40期|p.4487-4496|共10页
作者
M. Ohsaki;
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作者单位

Department of Architecture and Architectural Engineering, Kyoto University, Sakyo, Kyoto 606-8501, Japan;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
关键词
optimum design; flexible structure; asymptotic stability; truss; multilevel optimization;

机译：优化设计;柔性结构;渐近稳定性;桁架;多级优化;
入库时间 2022-08-17 13:10:56

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Optimum design of flexible structures under constraints on strain energy and asymptotic stability

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