功能梯度梁振动问题的研究

采用微分求积法研究不同高阶剪切变形理论下功能梯度梁的自由振动问题。假设功能梯度梁的材料参数按照组分的体积分数梯度变化,根据微分求积法原理,给出了考虑高阶剪切变形的功能梯度梁自由振动离散化代数方程。通过对数值计算结果分析与讨论,研究了不同边界条件对功能梯度梁固有频率的影响规律。

This paper studies the free vibration of functionally graded beams based on High-order Shear Deformation Theory (HSDT) of different kinds by using the Differential Quadrature Method (DQM). It is assumed that the material properties of the functionally graded beam vary according to the gradient distribution of the volume fraction of the components. Based on the basic principle of DQM, the discretization equation for the free vibration of high-order shear deformed beams is presented. Through the analysis and discussion of numerical calculation results, the influence law of different boundary conditions on the natural frequency of functionally graded beams is studied.