收稿日期: 2011-03-21
修回日期: 2011-05-05
网络出版日期: 2011-08-02
基金资助
国家自然科学基金资助项目( 50978105)
Combined Plate-Beam Element Method for Local Vibration Computation of Orthotropic Steel Bridge Deck
Received date: 2011-03-21
Revised date: 2011-05-05
Online published: 2011-08-02
Supported by
国家自然科学基金资助项目( 50978105)
马牛静 王荣辉 . 正交异性钢桥面板局部振动计算的组合板梁单元法[J]. 华南理工大学学报(自然科学版), 2011 , 39(9) : 34 -40 . DOI: 10.3969/j.issn.1000-565X.2011.09.007
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.
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