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 / 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：

080102 ;

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

[1] Nonlinear vibration of edged cracked FGM beams using differential quadrature method
LiaoLiang Ke
YueSheng Wang
Jie Yang
Sritawat Kitipornchai
Firoz Alam
Science China Physics, Mechanics and Astronomy, 2012, 55 : 2114 - 2121
[2] Nonlinear vibration of edged cracked FGM beams using differential quadrature method
Ke LiaoLiang
Wang YueSheng
Yang Jie
Kitipornchai, Sritawat
Alam, Firoz
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2012, 55 (11) : 2114 - 2121
[3] Nonlinear vibration analysis of Timoshenko beams using the differential quadrature method
Zhong, HZ
Guo, Q
NONLINEAR DYNAMICS, 2003, 32 (03) : 223 - 234
[4] Nonlinear Vibration Analysis of Timoshenko Beams Using the Differential Quadrature Method
Hongzhi Zhong
Qiang Guo
Nonlinear Dynamics, 2003, 32 : 223 - 234
[5] Vibration characteristics of stepped beams made of FGM using differential transformation method
Wattanasakulpong, Nuttawit
Charoensuk, Jarruwat
MECCANICA, 2015, 50 (04) : 1089 - 1101
[6] Higher-order nonlinear vibration analysis of Timoshenko beams by the spline-based differential quadrature method
Zhong, Hongzhi
Liao, Minmao
SHOCK AND VIBRATION, 2007, 14 (06) : 407 - 416
[7] Free and forced vibration analysis of multiple cracked FGM multi span continuous beams using dynamic stiffness method
Tran Van Lien
Ngo Trong Duc
Nguyen Tien Khiem
LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, 2019, 16 (02)
[8] Nonlinear free vibration analysis of annular sector plates using differential quadrature method
Hejripour, F.
Saidi, A. R.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2012, 226 (C2) : 485 - 497
[9] 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
[10] 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

← 1 2 3 4 5 →