论文:2013,Vol:31,Issue(3):498-502
引用本文:
王庆, 徐斌, 赵普猛. 基于虚拟材料法的桁架固频极值求解[J]. 西北工业大学
Wang Qing, Xu Bin, Zhao Pumeng. Extremum Calculation of Natural Frequency for Truss Based on Virtual Material Method[J]. Northwestern polytechnical university

基于虚拟材料法的桁架固频极值求解
王庆, 徐斌, 赵普猛
西北工业大学 力学与土木建筑学院, 陕西 西安 710072
摘要:
基于固频约束时结构动力学拓扑优化的关键约束,提出了一种求解桁架结构固频极值的新方法——基于虚拟材料法的优化计算方法,从节点设计变量和杆件截面积两个层次进行灵敏度分析以进一步优化计算,将拟删除节点相对应的杆件材料特性进行重新赋值,通过极值求解算法以迭代计算得到固频极值。数值算例结果表明所提方法正确、有效。
关键词:    固有频率    灵敏度分析    最速下降法    拓扑    桁架    固频极值    虚拟材料法   
Extremum Calculation of Natural Frequency for Truss Based on Virtual Material Method
Wang Qing, Xu Bin, Zhao Pumeng
Department of Engineering Mechanics,Northwestern Polytechnical University,Xi'an 710072,China
Abstract:
Because frequency constraint is the key constraint for dynamic topology optimization of truss, in this pa-per, a new method for extremum calculation of natural frequency for truss is put forward---an optimization method based on virtual material.It is optimized in two levels with sensitivity analysis; there are nodal design variables and cross-section area variables of truss elements, the bars related to the removed nodes being assigned new material properties; then the extremum of natural frequency is calculated with steepest descent method (SDM).The results of a numerical example and their analysis show preliminarily that the proposed method is correct and effective.
Key words:    natural frequencies    sensitivity analysis    steepest descent method    topology    trusses    Extremum of natural frequency    virtual material   
收稿日期: 2012-04-26     修回日期:
DOI:
基金项目: 国家自然科学基金(11072197);教育部博士点基金(2009102120024);西北工业大学基础研究基金(JC20120232)资助
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作者简介: 王庆(1987-),西北工业大学硕士研究生,主要从事结构动力学优化设计研究。
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