Free Vibration Analysis the Cracked FGM Beam under Bending-Torsion Loading, Using GDQ Method

摘要：

　　This paper presents a theoretical investigation of free vibration analysis of a functionally graded beam (FGM) under the bending-torsion loading using a classical elasticity theory.The FG beam is assumed to have an open edge crack.It is assumed that the material properties of the simply-supported cracked beam,vary along the beam thickness following a polynomial distribution in the thickness direction.This analysis is based on the linear fracture mechanics.First of all,goveming equations and boundary conditions of the FG beam are derived using Hamiltons principle.The governing equations are solved using generalized differential quadrature (GDQ) method.By applying GDQ method,the governing differential equations convert to a linear system of algebraic equations.Then solving the eigenvalue problem,natural frequencies of the FG beam can be found.The results indicate that natural frequencies in the presence of a crack are affected by the crack ratio and location.

关键词： local flexibility matrix edge crack FGM GDQ method free vibration

作者: A.R.Daneshmehr D.J.Inman A.Mohammadi fakhar

作者单位: School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran Department of Aerospace Engineering, University of Michigan, Ann Arbor, USA

会议类型: 国际会议

会议名称: 2nd International Conference on Materials Engineering and Automatic Control (第二届材料工程与自动化控制国际会议)(ICMEAC2013)

会议地点: 济南

会议语种:英文

页码: 942-947

在线出版日期: 2013-05-18（万方平台首次上网日期，不代表论文的发表时间）