文档介绍：Structural and Multidisciplinary Design Optimization
结构与多学科优化设计
——计算力学进展高级讲习班,2004,大连
顾元宪
大连理工大学工程力学系
工业装备结构分析国家重点实验室
SAOCS at Dalian University of Technology, China 2017/11/12
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Outline
结构优化设计的基本步骤和方法
多学科优化设计——研究领域和方法
灵敏度分析的计算方法
传热-结构耦合系统优化设计
压电结构优化设计与控制
电磁场与结构优化设计
SAOCS at Dalian University of Technology, China 2017/11/12
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Fundamental Procedures and Methods of Structural Design Optimization结构优化设计的基本步骤和方法
SAOCS at Dalian University of Technology, China 2017/11/12
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What is Structural Design Optimization?
To modify design variables X (size of elements, structural shape and topology) to optimize objective function f(X) (weight or other behaviors) and satisfy constraint conditions gj(X) (static, dynamic, buckling, thermal, and other mechanical performances) automatically by means of putations.
General mathematical representations:
SAOCS at Dalian University of Technology, China 2017/11/12
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Constraints of Structural Optimization结构优化中的约束函数
Static responses: structural weight
stresses of element or node
structural deformation
Dynamics: vibration frequencies,
dynamic responses (displacement,
velocity, acceleration, and stress)
Buckling stability: critical buckling loads
Temperature filed: linear/nonlinear, steady/transient
SAOCS at Dalian University of Technology, China 2017/11/12
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Objectives of Structural Optimization结构优化的目标
minimizing structural weight
minimizing stress concentration
increasing structural stiffness or flexibility
adjusting vibration frequencies
minimizing dynamic responses
increasing critical buckling loads
minimizing temperature
optimization of multiple objectives
SAOCS at Dalian University of Technology, China 2017/11/12
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Design Variables (5 categories)设计变量(5类)
1. Size variables of elements:
bar element: cross-section area - A
membrane, plate, shell elements: thickness - t
beam element variables:
popular beams: size parameters of various kinds cross-sections
beam element simulating joint linkage with stiffness pa