非线性弹性矩形板的自由振动

Nonlinear Vibration of a Rectangular Plate with Physical Nonlinearity

考虑材料的非线性效应，研究了一个四边简支非线性弹性矩形板的自由振动问题，计及静载变形对板动力特征的影响，利用Ｇａｌｅｒｋｉｎ原理，得到了板的关于时间部分的非线性动力方程及其相应的解析解，并对结果进行了分析讨论．

The objective of this paper is to study the vibration of a rectangular plate pined at the edges. The effects of the physical nonlinearity and static deformation on the dynamic characteristics are taken into consideration. Using the Galerkin principle, the nonlinear dynamic equation for the unknown function varied only with time and its closed-form solution can be obtained. Finally, the discussion is given.