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Hamilton体系下复合材料层合板特征值灵敏度分析研究
引用本文:贾宝惠,李顶河,徐建新,卿光辉.Hamilton体系下复合材料层合板特征值灵敏度分析研究[J].工程力学,2010(3).
作者姓名:贾宝惠  李顶河  徐建新  卿光辉
作者单位:中国民航大学航空工程学院;
基金项目:天津市自然科学基金项目(07JCYBJC02100)
摘    要:在结构优化过程中,精确的结构参数灵敏度分析是最主要的困难之一。该文在Hamilton体系下推导了复合材料层合板特征值响应灵敏度系数的控制方程,基于BSWI(B-spline wavelet on the interval)样条小波有限元方法,利用二分法求得了四边固支复合材料层合板前四阶特征值对材料密度的灵敏度系数,并与有限差分法所得结果相比较,证明了该文所提出方法的可靠性。另外,该方法能够方便地拓展到复杂层合板壳结构以及智能材料层合板特征值灵敏度系数的求解问题中去。

关 键 词:BSWI小波  特征值  复合材料层合板  灵敏度分析  Hamilton体系

STUDIES ON THE SENSITIVITY ANALYSIS OF EIGENVALUES FOR COMPOSITE LAMINATED PLATES IN HAMILTONIAN SYSTEMS
JIA Bao-hui,LI Ding-he,XU Jian-xin,QING Guang-hui.STUDIES ON THE SENSITIVITY ANALYSIS OF EIGENVALUES FOR COMPOSITE LAMINATED PLATES IN HAMILTONIAN SYSTEMS[J].Engineering Mechanics,2010(3).
Authors:JIA Bao-hui  LI Ding-he  XU Jian-xin  QING Guang-hui
Affiliation:College of Aeronautical Engineering;Civil Aviation University of China;Tianjin 300300;China
Abstract:In the structural shape optimization(SSO) procedures,one of the main difficulties is to perform an accurate sensitivity analysis for structural responses with respect to some parameters such as structural shape sizes and material properties and so on.Based on BSWI(B-spline wavelet on the interval) wavelets element method,the governing equation of sensitivity coefficients of the eigenvalue response for composite laminated plates is derived in Hamiltonian Systems.The sensitivity coefficients of the first 4 or...
Keywords:BSWI  eigenvalue  composite laminated plates  sensitivity analysis  Hamiltonian systems  
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