梁结构振动分析的连续单元法  

Vibration Analysis of Beam Using Continuous Element Methods

作　　者：戎瑞亚[1] 彭伟才[1] 何锃[1] 

机构地区：[1]华中科技大学土木工程与力学学院,湖北武汉430074

出　　处：《华中科技大学学报（城市科学版）》2006年第z2期62-64,共3页Journal of Huazhong University of Science and Technology

摘　　要：连续单元法由精确的形函数推导而来,它能精确计算出结构的动态特征.对于一般的结构,要得到精确的形函数并不容易.因此,介绍一维结构的连续单元法的一般方法:由结构运动方程建立状态向量方程和利用单元传递矩阵得到单元的刚度矩阵.计算了杆、直梁和曲梁的频率响应,得到了较好的结果.The continuous element methods is known to provide the accurate dynamic characteristics of a structure because it is formed by exact shape functions.However,it is not always easy to derive the exact shape functions for any structure.Thus this paper first introduces a general approach to continuous element methods for one-dimensional structures,in which the continuous element methods is computed numerically and directly from the transfer matrix from the state vector equation of motion of a structure.Finally,the validation of this numerical method for bar,beam and planar curved beams is achieved.The numerical results show that the method is effective and simple.

关 键 词：状态向量 动态刚度矩阵 动态微分矩阵 连续单元法 

分 类 号：O327[理学—一般力学与力学基础]