Nonlinear vibration of edged cracked FGM beams using differential quadrature method

被引：0

作者：

KITIPORNCHAI Sritawat ^{[1
]}

ALAM Firoz ^{[2
]}

机构：

[1] Department of Building and Construction,City University of Hong Kong

[2] School of Aerospace,Mechanical and Manufacturing Engineering,RMIT University

来源：

Science China(Physics,Mechanics & Astronomy) | 2012年 / Mechanics & Astronomy)2012卷 / 11期

基金：

中央高校基本科研业务费专项资金资助; 中国国家自然科学基金;

关键词：

functionally graded materials(FGMs); Timoshenko beam; edge crack; nonlinear vibration; DQ method;

D O I：

暂无

中图分类号：

O346.1 [断裂理论];

学科分类号：

摘要：

This paper investigated the nonlinear vibration of functionally graded beams containing an open edge crack based on Timoshenko beam theory.The cracked section is modeled by a massless elastic rotational spring.It is assumed that material properties follow exponential distributions through the beam thickness.The differential quadrature(DQ) method is employed to discretize the nonlinear governing equations which are then solved by a direct iterative method to obtain the nonlinear vibration frequencies of beams with different boundary conditions.The effects of the material gradient,crack depth and boundary conditions on nonlinear free vibration characteristics of the cracked FGM beams are studied in detail.

引用

页码：2114 / 2121

页数：8

共 50 条

[31] Nonlinear parametric vibration of axially moving beams: asymptotic analysis and differential quadrature verification
Chen, Li-Qun
Wang, Bo
Ding, Hu
7TH INTERNATIONAL CONFERENCE ON MODERN PRACTICE IN STRESS AND VIBRATION ANALYSIS, 2009, 181
[32] Nonlinear thermal vibration of FGM beams resting on nonlinear viscoelastic foundation
Alimoradzadeh M.
Akbaş Ş.D.
Steel and Composite Structures, 2022, 44 (04): : 557 - 567
[33] Nonlinear thermal vibration of FGM beams resting on nonlinear viscoelastic foundation
Alimoradzadeh, M.
Akbas, S. D.
STEEL AND COMPOSITE STRUCTURES, 2022, 44 (04): : 543 - 553
[34] An Analytical Method for Vibration Fatigue of Cracked Beams
Liu, Wenguang
He, Honglin
ADVANCED MECHANICAL DESIGN, PTS 1-3, 2012, 479-481 : 783 - 786
[35] Free vibration analysis of cracked beams by using rigid segment method
Nikolic, Aleksandar
Salinic, Slavisa
APPLIED MATHEMATICAL MODELLING, 2020, 84 : 158 - 172
[36] Vibration analysis of beams using the generalized differential quadrature rule and domain decomposition
Liu, GR
Wu, TY
JOURNAL OF SOUND AND VIBRATION, 2001, 246 (03) : 461 - 481
[37] Vibration analysis of structural elements using differential quadrature method
Nassar, Mohamed
Matbuly, Mohamed S.
Ragb, Ola
JOURNAL OF ADVANCED RESEARCH, 2013, 4 (01) : 93 - 102
[38] Vibration analysis of toroidal panels using the differential quadrature method
Redekop, D
Xu, B
THIN-WALLED STRUCTURES, 1999, 34 (03) : 217 - 231
[39] Natural frequencies of a functionally graded cracked beam using the differential quadrature method
Matbuly, M. S.
Ragb, Ola
Nassar, M.
APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (06) : 2307 - 2316
[40] Nonlinear pre and post-buckled analysis of curved beams using differential quadrature element method
M. Zare
A. Asnafi
International Journal of Mechanical and Materials Engineering, 2019, 14

← 1 2 3 4 5 →