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阎军

Professor
Supervisor of Doctorate Candidates
Supervisor of Master's Candidates


Main positions:Deputy director of the Department of Engineering Mechanics
Gender:Male
Alma Mater:Dalian University of Technology
Degree:Doctoral Degree
School/Department:Engineering Mechanics
Discipline:Engineering Mechanics. Computational Mechanics. Solid Mechanics. Aerospace Mechanics and Engineering. Design and Manufacture of Ship and Ocean Structure
Business Address:Room 305, Engineering Mechanics Department Building
Contact Information:0411-84706832
E-Mail:yanjun@dlut.edu.cn
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Current position: Home >> Scientific Research >> Paper Publications

精确频率约束下杆系结构拓扑优化中的奇异最优现象

Hits : Praise

Indexed by:会议论文

Date of Publication:2011-08-22

Page Number:1-5

Key Words:杆系结构;轻量化设计;频率约束;自振频率;刚度方程;奇异最优解

Abstract:　　本文研究频率约束下的杆系结构轻量化设计,采用动力刚度矩阵法,w-w算法和Newton算法精确求解频率动力刚度方程,求得杆系结构的自振频率。以此为基础,假设梁构件具有相似横截面,对于三杆刚架算例,以杆件截面积为设计变量,精确刻画了受到频率约束的最小化结构重量设计问题的可行域形状,发现此问题存在“奇异最优解”,揭示局部模态与“奇异最优解”的关系,指出此类“奇异最优”现象是造成杆系结构动力性能优化困难的本质原因,为后续有效解法的提出奠定了理论基础。

 

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