Journal of South China University of Technology (Natural Science Edition) ›› 2011, Vol. 39 ›› Issue (9): 34-40.doi: 10.3969/j.issn.1000-565X.2011.09.007

• Architecture & Civil Engineering • Previous Articles     Next Articles

Combined Plate-Beam Element Method for Local Vibration Computation of Orthotropic Steel Bridge Deck

Ma Niu-jing  Wang Rong-hui   

  1. School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510640,Guangdong,China
  • Received:2011-03-21 Revised:2011-05-05 Online:2011-09-25 Published:2011-08-02
  • Contact: 马牛静(1986-) ，男，博士生，主要从事桥梁结构理论研究． E-mail:maniujing_1@163.com
  • About author:马牛静(1986-) ，男，博士生，主要从事桥梁结构理论研究．
  • Supported by:

    国家自然科学基金资助项目( 50978105)

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Abstract:

Proposed in this paper is a combined plate-beam element method to calculate the local vibration of the orthotropic steel bridge deck with trapezoid stiffened ribs,which is used in the long-span steel bridge. In this method,the top plate and the trapezoid stiffened rib are respectively taken as the flat shell element and the plate-beam element,and the corresponding displacement model is established according to the deformation coordination relationship between the plate and the rib. Moreover,the stiffness matrix of the combined plate-beam element is obtained based on the energy-variation principle,and the consistent mass matrix and the consistent load matrix are obtained based on the shape function of each sub-element. Then,the finite dynamic equilibrium equations are obtained. Finally,a calculation program of dynamic finite element is presented for the combined plate-beam element,and the first 10 consequent natural frequencies are compared with those of the shell finite element,finding that the latters accord well with the formers. Thus,the proposed method proves to be feasible and efficient.

Key words: orthotropic steel bridge deck, trapezoid stiffened rib, local vibration, plate-beam element

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