上海交通大学学报

上海交通大学学报（自然版）

• 一般工业技术 • 上一篇    

利用二次灵敏度的渐进结构频率优化算法

宋洁1，国凤林1，谷涛2   

  1. (1.上海交通大学 船舶海洋与建筑工程学院， 上海 200240；
    2.上海卫星工程研究所 可靠性中心， 上海 200240)
  • 收稿日期:2007-11-19 修回日期:1900-01-01 出版日期:2008-11-28 发布日期:2008-11-28
  • 通讯作者: 国凤林

Evolutionary Structural Frequency Optimization Using Second Order Sensitivity

SONG Jie1,GUO Feng-lin1,GU Tao2   

  1. (1.School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China;

    2.Reliability Center, Shanghai Institute of Satellite Engineering, Shanghai 200240, China)

  • Received:2007-11-19 Revised:1900-01-01 Online:2008-11-28 Published:2008-11-28
  • Contact: GUO Feng-lin

摘要： 针对标准渐进结构优化方法用于频率优化时难以达到计算效率和准确性之间的平衡，提出了二次灵敏度的概念，给出其计算公式，并且提出了一种利用二次灵敏度的频率优化算法.该算法是对标准渐进结构优化方法的改进，通过1个算例测试了该算法的性能，表明该算法能有效地用于频率优化，尤其适用于两阶段优化法的第1阶段优化，能在一定程度上平衡计算效率和准确性.

关键词: 渐进结构优化, 拓扑优化, 频率优化, 有限元分析

Abstract: The balance between computational efficiency and accuracy is hard to reach when standard evolutionary structural optimization (ESO) method is used for frequency optimization. This paper proposed the concept of second order sensitivity as well as the equation for its value. Then it was used in a new algorithm for frequency optimization, which is extended from the standard ESO procedure. Finally, a numerical example was given to demonstrate its performance. The results show that the algorithm is very suitable for structural frequency optimization, especially for the first stage of the twostage optimization process, and that it can keep balance, at some level, between efficiency and accuracy.

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