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论文:2013,Vol:31,Issue(3):498-502 |
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引用本文: |
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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 |
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Wang Qing, Xu Bin, Zhao Pumeng. Extremum Calculation of Natural Frequency for Truss Based on Virtual Material Method[J]. Northwestern polytechnical university |
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基于虚拟材料法的桁架固频极值求解 |
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王庆, 徐斌, 赵普猛 |
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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
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Extremum Calculation of Natural Frequency for Truss Based on Virtual Material Method |
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Wang Qing, Xu Bin, Zhao Pumeng |
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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
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收稿日期: 2012-04-26
修回日期:
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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 |
通讯作者:
Email: |
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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作者相关文章 |
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王庆 在本刊中的所有文章 |
徐斌 在本刊中的所有文章 |
赵普猛 在本刊中的所有文章 |
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参考文献: |
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[1] 徐 斌, 吴克恭, 姜节胜.桁架结构动力学拓扑优化设计解的存在性探讨.机械科学与技术, 2002, 21 (4): 575-578 Xu Bin, Wu Kegong, Jiang Jiesheng.Exploration of Existence of Optimal Solution for Truss Dynamical Topology Optimization.Mechanical Science and Technology, 2002, 21 (4): 575-578 (in Chinese) [2] 顾松年, 姜节胜, 徐 斌.桁架优化解存在性的研究.西北工业大学学报, 2004, 22(6): 720-725 Gu Songnian, Jiang Jiesheng, Xu Bin.On Existence of Optimization Solution of Truss Structure.Journal of Northwestern Polytechnical University, 2004, 22(6): 720-725 (in Chinese) [3] 童卫华, 姜节胜, 顾松年.桁架频率优化解存在性及其算法研究.应用力学学报, 2000, 17(2): 36-44 Tong Weihua, Jiang Jiesheng, Gu Songnian.An Investigation on Solution Existence and Evaluation of the Optimization Problem of Truss Structures with Frequency Constraints.Chinese Journal of Applied Mechanics, 2000, 17(2): 36-44 (in Chinese) [4] 童卫华, 姜节胜, 顾松年.动力学设计与动力特性指标的若干问题初探.固体力学学报, 1997, 18(s): 146-150 Tong Weihua, Jiang Jiesheng, Gu Songnian.Initial Exploration of Some Questions about Dynamic Design and Dynamic Performance Indexes.Chinese Journal of Solid Mechanics, 1997, 18(s): 146-150 (in Chinese) [5] Guo X, Cheng G D, Yamazaki K.A New Approach for the Solution of Singular Optima in Truss Topology Optimization with Stress and Local Buckling Constraints.Structural and Multidisciplinary Optimization, 2001, 22: 364-373 |
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