The theoretical analysis of dynamic response on cantilever beam of variable stiffness  

作　　者：Huo Bingyong Yi Weijian 

机构地区：[1]College of Civil Engineering,Hunan University

出　　处：《Engineering Sciences》2014年第2期93-96,共4页中国工程科学（英文版）

基　　金：National Natural Science Foundation of China(No.51178175)

摘　　要：The paper presents the theoretical analysis of a variable stiffness beam. The bending stiffness EI varies continuously along the length of the beam. Dynamic equation yields differential equation with variable co- efficients based on the model of the Euler-Bernoulli beam. Then differential equation with variable coefficients becomes that with constant coefficients by variable substitution. At last, the study obtains the solution of dy- namic equation. The cantilever beam is an object for analysis. When the flexural rigidity at free end is a constant and that at clamped end is varied, the dynamic characteristics are analyzed under several cases. The results dem- onstrate that the natural angular frequency reduces as the fiexural rigidity reduces. When the rigidity of clamped end is higher than that of free end, low-level mode contributes the larger displacement response to the total re- sponse. On the contrary, the contribution of low-level mode is lesser than that of hi^h-level mode.

关 键 词：stiffness function differential equation with variable coefficients cantilever beam 

分 类 号：O175.1[理学—数学] TU323.3[理学—基础数学]