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Article Navigation >  Journal of Traffic and Transportation Engineering  > 2004  >  4(2): 27-32
XIA Gui-yun, CENG Qing-yuan, LI Chuan-xi, ZHANG Jian-ren. New method for formulations of Timoshenko deep beam element[J]. Journal of Traffic and Transportation Engineering, 2004, 4(2): 27-32.
Citation: XIA Gui-yun, CENG Qing-yuan, LI Chuan-xi, ZHANG Jian-ren. New method for formulations of Timoshenko deep beam element[J]. Journal of Traffic and Transportation Engineering, 2004, 4(2): 27-32.
shu

New method for formulations of Timoshenko deep beam element

  • 1.

    School of Civil and Architectural Engineering, Central South University, Changsha 410075, China

  • 2.

    School of Highway Engineering, Changsha University of Science and Technology, Changsha 410076, China

More Information
  • Author Bio:

    XIA Gui-yun(1972-), male, doctoral student, 86-731-2617746, xiagy72@163.com

  • Received Date: 2003-09-16
  • Publish Date: 2004-06-25
    Abstract
  • Based on the theory of two generalized displacements of Timoshenko beam, the trial function was used to construct the shape functions of transverse displacement, rotating displacement and shear strain. Using finite element method, linear elastic stiffness matrix, consistent mass matrix and geometric stiffness matrix were derived. The static, dynamic and stable tests show there is no shear locking for the element, numerical results agree with others well. The method is alternative for deriving the formulations of Timoshenko beam element.

     

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    • References(8)
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    周世军, 朱唏. 一组新的Timoshenko梁单元一致矩阵公式[J]. 兰州铁道学院学报, 1994, 13(2): 1-7. https://www.cnki.com.cn/Article/CJFDTOTAL-LZTX402.000.htm

    ZHOU Shi-jun, ZHU Xi. A set of new consistent matrix for formulations of Timoshenko beam element[J]. Journal of Lanzhou Railway Institute, 1994, 13(2): 1-7. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-LZTX402.000.htm
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    Huang TC. The effect of rotatory inertia and shear deformation on the frequency and normal mode equations of uniform beams with simple and conditions[J]. Journal of Applied Mechanics, 1961, 28(6): 579-584.
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