一种基于特征值反求的复合材料层合板波动特性的近似修改方法

采用一种特征值反求形式的方法用来近似层状复合板的波动特性修改。通过敏感度分析,确定层合板中能最显著地改变结构波动特性的结构参数为设计变量。采用二阶泰勒展式近似特征值和特征频率相对于设计变量的改变率。计算了不同结构变化时的色散特性,并与精确计算结果进行了比较。结果证明本方法对于层状复合板波动特性修改的近似是可行并且有效的。

Modification of Wave Characteristics of Composite Laminates by Inverse Eigenvalue

An approximation is suggested to modify the wave characteristic of composite laminates. The thickness of the first layer is selected as the variable for the modification of the first order eigenvalue of the structure. To obtain desired wave characteristics of composite laminate, the varying rate of eigenvalue with respect to the thickness change is approximated by the second order Taylor expansion. Dispersion in different structure modification is evaluated and validated by the original method.