A CRACKED BEAM FINITE ELEMENT FOR ROTATING SHAFT DYNAMICS AND STABILITY ANALYSIS

被引:6
|
作者
El Arem, Saber [1 ]
Maitournam, Habibou [1 ]
机构
[1] Ecole Polytech, CNRS, Mecan Solides Lab, UMR 7649, F-91128 Palaiseau, France
关键词
breathing crack; beam; unilateral contact; finite element; rotor; Floquet; stability;
D O I
10.2140/jomms.2008.3.893
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, a method for the construction of a cracked beam finite element is presented. The additional flexibility due to the cracks is identified from three-dimensional finite element calculations taking into account the unilateral contact conditions between the crack lips. Based on this flexibility, which is distributed over the entire length of the element, a cracked beam finite element stiffness matrix is deduced. Considerable gain in computing efforts is reached compared to the nodal representation of the cracked section when dealing with the numerical integration of differential equations in structural dynamics. The stability analysis of a cracked shaft is carried out using the Floquet theory.
引用
收藏
页码:893 / 910
页数:18
相关论文
共 50 条
  • [31] Dynamic analysis of a rotating cantilever beam by using the finite element method
    Chung, J
    Yoo, HH
    JOURNAL OF SOUND AND VIBRATION, 2002, 249 (01) : 147 - 164
  • [32] Free Vibration Analysis of Rotating Euler Beam by Finite Element Method
    Hsiao, Kuo Mo
    Lin, Wen Yi
    Fujii, Fumio
    ENGINEERING LETTERS, 2012, 20 (03) : 253 - 258
  • [33] On a systematic approach for cracked rotating shaft study: breathing mechanism, dynamics and instability
    Saber El Arem
    Maha Ben Zid
    Nonlinear Dynamics, 2017, 88 : 2123 - 2138
  • [34] On a systematic approach for cracked rotating shaft study: breathing mechanism, dynamics and instability
    El Arem, Saber
    Ben Zid, Maha
    NONLINEAR DYNAMICS, 2017, 88 (03) : 2123 - 2138
  • [35] Differential Quadrature Finite Element and the Differential Quadrature Hierarchical Finite Element Methods for the Dynamics Analysis of on Board Shaft
    Ahmed, Saimi
    Abdelhamid, Hadjoui
    Ismail, Bensaid
    Ahmed, Fellah
    EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS, 2021, 29 (4-6): : 303 - 344
  • [36] Crack modeling of rotating blades with cracked hexahedral finite element method
    Liu, Chao
    Jiang, Dongxiang
    MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2014, 46 (02) : 406 - 423
  • [37] Vibration analysis and control of cracked beam using finite element method by using ANSYS
    Toke, Lalit K.
    Patil, Milind M.
    WORLD JOURNAL OF ENGINEERING, 2023, 20 (05) : 938 - 955
  • [38] A FINITE-ELEMENT FOR EDGE-CRACKED BEAM COLUMNS
    THARP, TM
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1987, 24 (10) : 1941 - 1950
  • [39] Formulation of cracked beam element for structural analysis
    Viola, E
    Nobile, L
    Federici, L
    JOURNAL OF ENGINEERING MECHANICS-ASCE, 2002, 128 (02): : 220 - 230
  • [40] A CONICAL BEAM FINITE-ELEMENT FOR ROTOR DYNAMICS ANALYSIS
    GREENHILL, LM
    BICKFORD, WB
    NELSON, HD
    JOURNAL OF VIBRATION ACOUSTICS STRESS AND RELIABILITY IN DESIGN-TRANSACTIONS OF THE ASME, 1985, 107 (04): : 421 - 430