用纽马克积分法研究环形板的非线性振动

本文研究环形板的轴对称非线性振动，考虑板大变形时的面内位移、内惯性和几何非线性，用有限元法将系统离散化，由拉格朗日方程求得系统运动微分方程，后用纽马克直接积分法求得系统非线性振动的时间历程，进而估算出振动的周期和频率。所得结果与其它方法做了比较，并做了误差分析。

Non-linear Vibration of Annular Plates by the Newmark Integration Method

This paper investjgates the non-linear axisymmetric vibration of annular plates.The system is discrelised by finite element method,then the time history and the fundamental frequency responsive to the vibration are obtained by the Newmark direct integration method.Because this method doesn't need any assumptions and linearization,the obtained results are more reliable and can be used for Checking other approximate methods.The errors come from this method are analysed.