软芯夹层圆环板的面内自由振动分析

基于线弹性体理论,得到各向同性材料软芯夹层圆环板面内自由振动的控制微分方程。采用微分求积法(DQM)对软芯夹层圆环板面内自由振动的特征方程及其边界条件在节点上进行离散,研究了其面内自由振动的无量纲频率特性。求解过程使用MATLAB编制的程序进行计算。结果表明:不同边界条件及几何参数对软芯夹层圆环板无量纲频率均有影响,同时也说明微分求积法能有效求解软芯夹层圆环板的面内自由振动问题。本文的研究为求解此类问题的低阶、高阶振动频率提供了一种简便有效的数值方法。

In-plane Free Vibration Analysis of Soft-core Sandwich Annular Plates

Based on the linear elastic theory, the in-plane free vibration differential equations for isotropic and soft core sandwich annular plate are derived. By differential quadrature method (DQM), the discretion of characteristic equations and boundary conditions on nodes are carried out and the dimensionless frequency features are investigated numerically for in-plane free vibration of soft core sandwich annular plate. The MATLAB programming is using in calculation process. The results show that different boundary conditions and geometric parameters of a soft core sandwich annular plate are influenced on its dimensionless natural frequencies of in-plane free vibration and the problems of in-plane free vibration of soft-core sandwich are solved effectively by employing differential quadrature method. A valid numerical method is offered to select for doing the lower and higher order vibration frequencies of this problem with differential quadrature method.