北京航空航天大学学报 ›› 1999, Vol. 25 ›› Issue (2): 176-179.

• 论文 • 上一篇    下一篇

复合材料板变形最优控制的数值分析

方有亮, 武哲   

  1. 北京航空航天大学 飞行器设计与应用力学系
  • 收稿日期:1997-10-31 出版日期:1999-02-28 发布日期:2010-09-28
  • 作者简介:男 31岁 博士生 100083 北京

Numerical Analysis of Optimal Control on Composite Plate Deformation

Fang Youliang, Wu Zhe   

  1. Beijing University of Aeronautics and Astronautics,Dept. of Flight Vehicle Design and Applied Mechanics
  • Received:1997-10-31 Online:1999-02-28 Published:2010-09-28

摘要: 采用将压电片粘贴于复合材料层板表面或镶嵌于层板内部的方法,基于kirchoff假设,对于任意铺层的复合层板,使用板单元,建立了受压电片控制的复合材料层合板有限元分析方法.然后,采用作用电压到控制形状的控制矩阵,使用最优化方法得到了对任意形状所需的作用电压,最后给出算例.文中对实验数据和有限元结果进行了比较,给出了无约束优化、有约束优化和考虑能耗的优化等3种情形的结果.

Abstract: Kirchoff hypothesis is applied to laminate plate with induced strain actuators. Piezoelectric patch is bonded to its surface or embedded within the laminate. Using plate element, FEM(Finite Element Method) for laminate plate with induced strain actuators is proposed. Considering the control matrix, which is gotten from applied voltage to laminate plate, the needed applied voltage is given for any plate shapes using optimization algorithms. Numerical example is presented. Comparison between experiments and FEM is shown up in this paper. Three solutions of unconstrained optimization, constrained optimization and optimization considering energy consumption,are given.

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