摄动微分求积法解复合材料层合板非线性振动

Perturbation and Differential Quadrature Method Solving Nonlinear Vibration of Laminate

以摄动法将层合板的非线性振动偏微分方程线性化,从摄动方程中分离出时域函数并求解。将场函数设定为含时域函数的待定函数,通过微分求积法对空间域的摄动方程进行离散,将其转化成一系列的线性方程并通过编程求解。算例结果分析说明算法精度良好且效率高。

Based on perturbation method,the linearization is obtained from the nonlinear vibration partial differential equations of a laminate.From perturbation equations the time domain function is separated and solved.After having set field function an undetermined form which contains time domain function,perturbation equations are scattered by differential quadrature method.Ultimately a series of linear perturbation equations are obtained and solved by programming.Examples demonstrate the validity and high efficiency of the proposed method.