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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。
Based on the Hamiltonian system, the analytical expression of the static response sensitivity coefficient of the piezocomposite laminate was deduced. Based on the BSWI spline wavelet finite element method, the semi-analytical method was used to study the influence of the displacement of the composite laminate on the sensitivity of the material in the z direction The results of the semi-analytical method are compared with the finite difference method, and the reliability of the semi-analytical method is proved. The results show that under the condition that the boundary conditions are simply supported on four sides and the upper surface is subjected to uniform compressive stress, the sensitivity of u and w to the material parameters is comparable and the sensitivity of v to the material parameters is relatively weak. The influence of u and v on the material parameters The sensitivity coefficient varies more in laminate thickness than w.