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桁架结构可靠性优化设计的微分演化算法

胡长远 唐和生 薛松涛 邓立新

江苏大学学报(自然科学版)2013,Vol.34Issue(2):234-238,243,6.
江苏大学学报(自然科学版)2013,Vol.34Issue(2):234-238,243,6.DOI:10.3969/j.issn.1671-7775.2013.02.020

桁架结构可靠性优化设计的微分演化算法

Differential evolution algorithm of reliability optimization for truss structure

胡长远 1唐和生 1薛松涛 1邓立新1

作者信息

  • 折叠

摘要

Abstract

To solve the uncertainties for structural engineering design and reliability analysis and avoid undermining engineering decisions, the structual optimization design was conducted with the consideration of the uncertainties of materials, geometric size and loading. Taking the uncertainties as random variables , a reliability optimization design of truss structure was proposed by differential evolution (DE) algorithm to solve uncertain problems. The node coordinates and the cross-sectional areas of truss were introduced as design variables. The objective of the structural weight was considered to formulate a mathematical model of the shape optimization problem under reliability-based constraints. The typical truss shape optimization problems were conducted, and the influences of reliability index and variance factors on optimum results were also investigated. The results of the numerical example indicate that the proposed method can full play the advantage of the differential evolution algorithm, and can be applied for reliability based truss structure shape optimization design effectively.

关键词

桁架结构/微分演化/可靠性约束/形状优化/不确定性

Key words

truss structure/ differential evolution/ reliability constraint/ shape optimization/ uncertainty

分类

建筑与水利

引用本文复制引用

胡长远,唐和生,薛松涛,邓立新..桁架结构可靠性优化设计的微分演化算法[J].江苏大学学报(自然科学版),2013,34(2):234-238,243,6.

基金项目

国家自然科学基金资助项目(51178337,50708076) (51178337,50708076)

科技部国家重点实验室基础研究项目(SLDRCE11-13-01) (SLDRCE11-13-01)

江苏大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1671-7775

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