徐建新, 李顶河, 卢 翔, 卿光辉. 基于B样条小波有限元的压电材料层合板灵敏度分析[J]. 工程力学, 2010, 27(6): 194-201.
引用本文: 徐建新, 李顶河, 卢 翔, 卿光辉. 基于B样条小波有限元的压电材料层合板灵敏度分析[J]. 工程力学, 2010, 27(6): 194-201.
XU Jian-xin, LI Ding-he, LU Xiang, QING Guang-hui. SENSITIVITY ANALYSIS BASED ON FINITE ELEMENT OF B-SPLINE WAVELETS FOR PIEZOELECTRIC LAMINATES[J]. Engineering Mechanics, 2010, 27(6): 194-201.
Citation: XU Jian-xin, LI Ding-he, LU Xiang, QING Guang-hui. SENSITIVITY ANALYSIS BASED ON FINITE ELEMENT OF B-SPLINE WAVELETS FOR PIEZOELECTRIC LAMINATES[J]. Engineering Mechanics, 2010, 27(6): 194-201.

基于B样条小波有限元的压电材料层合板灵敏度分析

SENSITIVITY ANALYSIS BASED ON FINITE ELEMENT OF B-SPLINE WAVELETS FOR PIEZOELECTRIC LAMINATES

  • 摘要: 在Hamilton体系下推导了压电材料层合板静力响应灵敏度系数的解析表达式,基于BSWI样条小波有限元方法,利用半解析法研究了混合层合板位移对材料常数灵敏度系数在z方向上的分布情况,并将半解析法的结果与有限差分法相比较,证明了半解析法结果的可靠性。结果表明:在边界条件为四边简支,上表面受均布单位压应力情况下,u和w对材料参数的灵敏程度相当,v对材料参数的灵敏程度相对较弱;u和v对材料参数的灵敏度系数在层合板厚度上变化范围较w更大。

     

    Abstract: Based on BSWI wavelets element method, the analytical expressions of sensitivity coefficients of static response for composite laminates are derived in Hamiltonian Systems. Distribution of sensitivity coefficients of stress and displacements in z direction are studied by semi-analytical methods. The numerical results of semi-analytical methods are compared with those of the finite difference methods, demonstrating the reliability of semi-analytical methods based on wavelets and Hamiltonian Systems. The results of semi-analytical methods show that, when the piezoelectric laminates simply supported on four sides are subjected to pre unit uniform compressive stress, the sensitivity coefficients of displacements u and w are similar, and greater than those of v. The variation range of the sensitivity coefficients of displacements u and v are greater than those of w in z direction.

     

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