| AN APPROXIMATE ANALYSIS OF FREQUENCY RESPONSE OF A CRACKED HINGEDHINGED BEAM |
| |
| 作者姓名： | Chen Mengcheng |
| |
| 作者单位： | Department of Civil Engineering，East China Jiaotong University Nanchang 330013，P.R.China |
| |
| 摘 要： | A new method based on a modified line-spring model is developed forevaluating the natural frequencies of vibration of a cracked beam.This model inconjunction with the Euler-Bernoulli beam theory,modal analysis and linear elasticfracture mechanics is applied to obtain an approximate characteristic equation of acracked hinged-hinged beam.By solving this equation the natural frequencies aredetermined for different crack lengths in different positions.The results show goodagreement with the solutions through finite element analysis.The present method maybe extended to analyze other cracked complicated structures with various boundaryconditions.
|
| 收稿时间： | 7 October 1993 |
AN APPROXIMATE ANALYSIS OF FREQUENCY RESPONSE OF A CRACKED HINGEDHINGED BEAM |
| |
| Chen Mengcheng.AN APPROXIMATE ANALYSIS OF FREQUENCY RESPONSE OF A CRACKED HINGEDHINGED BEAM[J].Acta Mechanica Solida Sinica,1994,7(4):367-375. |
| |
| Authors: | Chen Mengcheng |
| |
| Institution: | (1) Department of Civil Engineering, East China Jiaotong University, 330013 Nanchang, P. R. China;(2) Present address: Graduate School of Okayama University of Science, 700 Okayama, Japan |
| |
| Abstract: | A new method based on a modified line-spring model is developed for evaluating the natural frequencies of vibration of a cracked beam.This model in conjunction with the Euler-Bernoulli beam theory,modal analysis and linear elastic fracture mechanics is applied to obtain an approximate characteristic equation of a cracked hinged-hinged beam.By solving this equation the natural frequencies are determined for different crack lengths in different positions.The results show good agreement with the solutions through finite element analysis.The present method may be extended to analyze other cracked complicated structures with various boundary conditions. |
| |
| Keywords: | line-spring model fracture mechanics natural frequency cracked beam |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
