Transverse Vibration of Non-uniform Euler-Bernoulli Beam, Using Differential Transform Method (DTM)

被引：0
|
作者：
Torabi, K. [1 ]
Afshari, H. [1 ]
Zafari, E. [1 ]
机构：
[1] Univ Kashan, Fac Engn, Kashan, Iran
来源：
MECHANICAL AND AEROSPACE ENGINEERING, PTS 1-7 | 2012年 / 110-116卷
关键词：
Differential Transform Method (DTM); Transverse Vibration; Euler-Bernoulli Beam; LONGITUDINAL VIBRATION; RODS;
D O I：
10.4028/www.scientific.net/AMM.110-116.2400
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
Analysis of transverse vibration of beams is presented in this paper. Unfortunately, complexities which appear in solving differential equation of transverse vibration of non-uniform beams, limit analytical solution to some special cases, so that the numerical method is presented. DTM is a numerical method for solving linear and some non-linear, ordinary and partial differential equations. In this paper, this technique has been applied for solving differential equation of transverse vibration of conical Euler-Bernoulli beam. Natural circular frequencies and mode shapes have been calculated. Comparing results with the cases which exact solution have been presented, shows that DTM is a strong method especially for solving quasi-linear differential equations.
引用
收藏
页码：2400 / 2405
页数：6
相关论文
共 50 条
  • [1] Study on modified differential transform method for free vibration analysis of uniform Euler-Bernoulli beam
    Liu, Zhifeng
    Yin, Yunyao
    Wang, Feng
    Zhao, Yongsheng
    Cai, Ligang
    [J]. STRUCTURAL ENGINEERING AND MECHANICS, 2013, 48 (05) : 697 - 709
  • [2] Transverse vibration of a uniform Euler-Bernoulli beam under varying axial force using differential transformation method
    Young-Jae Shin
    Jong-Hak Yun
    [J]. Journal of Mechanical Science and Technology, 2006, 20 : 191 - 196
  • [3] Transverse vibration of a uniform Euler-Bernoulli beam under varying axial force using differential transformation method
    Shin, YJ
    Yun, JH
    [J]. JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2006, 20 (02) : 191 - 196
  • [4] Non-uniform beam vibration using Differential Transform Method
    Shali, S.
    Nagaraja, S. R.
    Jafarali, P.
    [J]. INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS AND MANUFACTURING APPLICATIONS (ICONAMMA-2016), 2016, 149
  • [5] Robust output regulation of a non-uniform Euler-Bernoulli beam
    Meng, Tingting
    Huang, Haifeng
    Wu, Xiaoyang
    Fu, Qiang
    [J]. ASIAN JOURNAL OF CONTROL, 2023, 25 (06) : 4404 - 4413
  • [6] Free Vibration of Non-Uniform Euler-Bernoulli Beams by the Adomian Modified Decomposition Method
    Lai, Hsin-Yi
    Chen, C. K.
    Hsu, Jung-Chang
    [J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2008, 34 (01): : 87 - 115
  • [7] Free vibration of non-uniform Euler-Bernoulli beam under various supporting conditions using Chebyshev wavelet collocation method
    Celik, Ibrahim
    [J]. APPLIED MATHEMATICAL MODELLING, 2018, 54 : 268 - 280
  • [8] Transverse vibration of an uniform Euler-Bernoulli beam under linearly varying axial force
    Naguleswaran, S
    [J]. JOURNAL OF SOUND AND VIBRATION, 2004, 275 (1-2) : 47 - 57
  • [9] Flapwise bending vibration analysis of double tapered rotating Euler-Bernoulli beam by using the differential transform method
    Ozgumus, Ozge Ozdemir
    Kaya, Metin O.
    [J]. MECCANICA, 2006, 41 (06) : 661 - 670
  • [10] A unique and comprehensive approach to investigate the transverse free vibration of non-uniform and functionally graded Euler-Bernoulli beams
    Hosseini-Hashemi, Kamiar
    Talebitooti, Roohollah
    Hosseini-Hashemi, Shahriar
    Nazemnezhad, Reza
    [J]. JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2023, 45 (10)
12345