圆薄板在复合载荷作用下的非线性振动问题

Non-linear vibration problem of circular plate under multiple loads

采用摄动变分法，取圆薄板的中心最大振幅为摄动参数，对在复合载荷作用下的圆薄板的非线性振动问题进行了研究，一次近似得到了圆薄板的线性固有频率，二次近似得到了静变形状态下的非线性固有频率．

Using perturbation variational method and taking the biggest amplitude at the center of circular plate as the perturbation parameter, the nonlinear vibration of a circular plate under multiple loads is discussed, liner natural frequency of the plate is obtained by the firstorder approximation, and nonlinear natural frequency in the state of static deformation is obtained by the secondorder approximation.