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
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
收藏
页码:2114 / 2121
页数:8
相关论文
共 50 条
  • [1] 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
  • [2] 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
  • [3] Nonlinear Vibration Analysis of Timoshenko Beams Using the Differential Quadrature Method
    Hongzhi Zhong
    Qiang Guo
    Nonlinear Dynamics, 2003, 32 : 223 - 234
  • [4] Nonlinear vibration analysis of Timoshenko beams using the differential quadrature method
    Zhong, HZ
    Guo, Q
    NONLINEAR DYNAMICS, 2003, 32 (03) : 223 - 234
  • [5] Differential Quadrature Method for Vibration Analysis of Finite Beams on Nonlinear Viscoelastic Foundations
    Li, P.
    Ding, H.
    Chen, L. -Q.
    SIXTH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS (ICNM-VI), 2013, : 387 - 391
  • [6] Vibration characteristics of stepped beams made of FGM using differential transformation method
    Wattanasakulpong, Nuttawit
    Charoensuk, Jarruwat
    MECCANICA, 2015, 50 (04) : 1089 - 1101
  • [7] Vibration characteristics of stepped beams made of FGM using differential transformation method
    Nuttawit Wattanasakulpong
    Jarruwat Charoensuk
    Meccanica, 2015, 50 : 1089 - 1101
  • [8] Free Vibration Analysis Of Horizontal Spinning Beams Using The Differential Quadrature Method
    Zhong, W. Y.
    Gao, F.
    Ren, Y. S.
    Wu, X. X.
    Ma, H. C.
    4TH INTERNATIONAL CONFERENCE ON APPLIED MATERIALS AND MANUFACTURING TECHNOLOGY, 2018, 423
  • [9] Free Vibration Analysis of Laminated Composite Beams Using Differential Quadrature Method
    冯丽娟
    钟宏志
    郝照平
    吴德隆
    Tsinghua Science and Technology, 2002, (06) : 567 - 573
  • [10] Free vibration analysis of cracked thin plates using generalized differential quadrature element method
    Shahverdi, Hossein
    Navardi, Mohammad M.
    STRUCTURAL ENGINEERING AND MECHANICS, 2017, 62 (03) : 345 - 355