DQE方法及其在平板振动分析中的应用  

APPLICATION OF DQE METHOD IN PLATE VIBRATION PROBLEMS

作　　者：武兰河[1] 曹凯 

机构地区：[1]石家庄铁道学院,石家庄050043 [2]华北制药维尔康公司,石家庄050031

出　　处：《振动与冲击》2001年第3期58-60,78,共4页Journal of Vibration and Shock

摘　　要：介绍一种新的数值方法———DQE方法用以分析具有不连续几何形状和具有集中质量平板的自由振动 ,其基本思想是根据平板的具体情况将求解区域分割为几个单元 ,在每个单元内部用DQ方法将其控制方程离散 ,各单元之间的连接点上应用平衡条件和连续条件 ,再加上边界约束条件可得到问题的特征方程。作为数值算例 ,计算了具有集中质量平板和L型平板的固有频率 。In the poper,a new numerical technique,the differential quadrature element method DQE is used for solving the plate vibration problems in the cases where there are shape discontinuity or lumped masses on it.The basic ided of the method is to divide the whole variable domain into several elements according to the structure and to apply the differential quadrature method for each element in order to establish the discrete governing equations.The characteristic equations are then obtained by using the discrete governing equations together with the compatibility conditions and boundary conditions.As numerical examples,the natural frequencies of a plate with lumped masses and a L shaped plate are calculated,and the results are examined by comparing with the existing solutions obtained by using other numerical methods.

关 键 词：DQE方法 平板振动 自然频率 固有频率 自由振动 控制方程 

分 类 号：O32[理学—一般力学与力学基础]