Mindlin板固有振动的灵敏度分析

Sensitivity Analysis of Proper Oscillation on Mindlin Board

本文从瑞利──李兹法出发，直接得到Ｍｉｎｄｌｉｎ板的刚度阵和质量阵，从而得到广义特征值问题．在假设的位移场中，分别用两个坐标方向的三次Ｂ样条函数和梁函数作为试函数．最后，将Ｍｉｎｄｉｎ板的几何参数和材料参数作为设计变量，再由矩阵摄动理论［１］给出了Ｍｉｎｄｌｉｎ板特征问题的灵敏度计算公式．

in this paper, based on the Rayteige--Rite method, one Mindlin board is analysed, and its rigid matrix and its mass matrix are debuced by using B-spline function as a false function of the extended shift field meanwhile with the matrix perturbation theory,a formula is brought to light for the calculation of the sensitivity analysis of the board characterisitic values.