任意角铺设矩形层合板固有频率的能量法分析

Energy method analysis of natural ferquencies of any angle-ply rectangular laminated plates

利用能量的一般表达式,根据哈密顿最小作用量原理,导出了复合材料层合板振动的变分方程,得到一种解决任意铺设形式、任意边界条件下,矩形层合板一阶固有频率振动问题的近似计算方法。

From genral expression of energy,a variational equation for vibration of composite laminated plates is obtained,by using Hamilton's principle of least action.An approximate computation method is presented,which was used to solve the fundamental frequency of the rectangular composite laminated plates,whatever laying form and boundary condition.