Analytical Solution of Dynamic Analysis of Cracked Euler-Bernoulli Beam with Elastic Boundary Condition By G.F.M

被引:0
|
作者
Ghannadiasl, Amin [1 ]
Ajirlou, Saeid Khodapanah [1 ]
机构
[1] Univ Mohaghegh Ardabili, Ardebil, Iran
来源
关键词
Euler; Bernoulli beam; crack; dynamic analysis; Green Function Method;
D O I
暂无
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The recognition of behavior of the cracked beam causes to find out how can use all capability of beams. Existence crack during the length of the beam makes discontinuity on the beam and leads to reduce local stiffness. This paper presents the dynamic solution of the cracked Euler-Bernoulli beam by Green Function Method (G.F.M). Green function is exhibited for the Euler-Bernoulli beam with various boundary conditions. Also, discontinuity is modeled by rotational spring in this paper. The effects of crack in different locations and depths of cracks with considering various boundary conditions are assessed. In addition, the influence of crack on natural frequency is studied. Finally, several examples are presented to compare the effect of boundary conditions on the dynamic response of the weakened Euler-Bernoulli beam.
引用
下载
收藏
页码:100 / 107
页数:8
相关论文
共 50 条
  • [31] Dynamic modeling and nonlinear boundary control of hybrid Euler-Bernoulli beam system with a tip mass
    Tavasoli, Ali
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART K-JOURNAL OF MULTI-BODY DYNAMICS, 2015, 229 (01) : 3 - 15
  • [32] Dynamic stabilization of an Euler-Bernoulli beam under boundary control and non-collocated observation
    Guo, Bao-Zhu
    Wang, Jun-Min
    Yang, Kun-Yi
    SYSTEMS & CONTROL LETTERS, 2008, 57 (09) : 740 - 749
  • [33] Stability analysis for an Euler-Bernoulli beam under local internal control and boundary observation
    Junmin WANG 1
    2. Academy of Mathematics and Systems Science
    Control Theory and Technology, 2008, (04) : 341 - 350
  • [34] Invariant boundary value problems for a fourth-order dynamic Euler-Bernoulli beam equation
    Bokhari, Ashfaque H.
    Mahomed, F. M.
    Zaman, F. D.
    JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (04)
  • [35] Nonlinear forced vibration analysis of a multi-cracked Euler-Bernoulli curved beam with inclusion of damping
    Zhao, X.
    Li, S. Y.
    Zhu, W. D.
    Li, Y. H.
    MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2022, 180
  • [36] ANALYSIS OF NATURAL FREQUENCIES OF A CRACKED VISCOELASTIC EULER-BERNOULLI BEAM BASED ON EQUIVALENT VISCOELASTIC SPRING MODELS
    Fu, Chao
    Yang, Xiao
    UPB Scientific Bulletin, Series D: Mechanical Engineering, 2023, 85 (01): : 3 - 14
  • [37] Boundary Control Design and Stability Analysis of an Euler-Bernoulli Beam System with Input Backlash
    He, Xiuyu
    He, Wei
    Qin, Hui
    Liu, Chang
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 1389 - 1394
  • [38] Stability analysis for an Euler-Bernoulli beam under local internal control and boundary observation
    Wang J.
    Guo B.
    Yang K.
    Journal of Control Theory and Applications, 2008, 6 (4): : 341 - 350
  • [39] Spectral finite element for vibration analysis of cracked viscoelastic Euler-Bernoulli beam subjected to moving load
    Sarvestan, Vahid
    Mirdamadi, Hamid Reza
    Ghayour, Mostafa
    Mokhtari, Ali
    ACTA MECHANICA, 2015, 226 (12) : 4259 - 4280
  • [40] Dynamic analysis of Euler-Bernoulli beam problems using the Generalized Finite Element Method
    Shang, H. Y.
    Machado, R. D.
    Abdalla Filho, J. E.
    COMPUTERS & STRUCTURES, 2016, 173 : 109 - 122