四边简支正交各向异性蜂窝型夹层板固有频率计算  

Natural frequency for rectangular orthotropic honeycomb sandwich plates with all edges simply supported

作　　者：冀伟[1] 刘世忠[1] 吴晖[1] 

机构地区：[1]兰州交通大学甘肃省道路桥梁与地下工程重点实验室,兰州730070

出　　处：《计算力学学报》2012年第3期417-420,共4页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(50968008);甘肃省道路桥梁与地下工程重点实验室开放基金(Kfjj-10-01)资助项目

摘　　要：该文以四边简支的方形蜂窝矩形夹层板为例,在经典夹层板理论的基础上,运用离散结构形式的运动控制方程和线性微分算子的可交换性,给出了一种把具有蜂窝型夹心的夹层板的包含三个广义位移的控制方程组化为,仅包含一个广义位移函数的单一方程的简单方法,并给出了四边简支蜂窝型夹层板的固有频率的精确解。研究结果对蜂窝夹层板的结构设计和工程应用具有指导意义。Based on the classical model of sandwich panels,the motion governing differential equations of the square-honeycomb sandwich plates considering the discrete characteristics of the core are derived in the paper.A simple approach to reduce the governing equations for orthotropic honeycomb sandwich plates to a single equation containing only one displacement function was presented and the exact solution of the natural frequencies for rectangular honeycomb sandwich plates with all edges simply supported was obtained.The conclusions are instructive to applications of honeycomb panels in engineering.

关 键 词：矩形夹层板 蜂窝型夹层板 固有频率 临界力 精确解 位移函数 

分 类 号：O313.3[理学—一般力学与力学基础]