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力学与实践 ›› 2008, Vol. 30 ›› Issue (6): 39-42.doi: 10.6052/1000-0879-2008-007

• 应用研究 • 上一篇    下一篇

槽型宽翼受压构件剪力滞分析的传递矩阵法

韦成龙 李斌 刘小燕   

  1. 湖南理工学院;长沙理工大学桥梁与结构工程学院
  • 收稿日期:2008-01-02 修回日期:2008-06-02 出版日期:2008-12-08 发布日期:2008-12-08

TRANSFER MATRIX METHOD FOR SHEAR LAG ANALYSIS OF A BEAM-AND-SLAB STRUCTURE UNDER AXIAL LOADS

Wei Cheng-Long   

  • Received:2008-01-02 Revised:2008-06-02 Online:2008-12-08 Published:2008-12-08

摘要: 利用能量变分法,建立了槽型宽翼受压构件考虑剪力滞效应时的平衡控制微分方程,给 出了该方程在轴向均布载荷作用下的初参数解,导出了求解槽型宽翼受压构件内力、应力和 位移的场矩阵和点矩阵,提出一种研究槽型宽翼受压构件剪滞效应的传递矩阵法. 数值算例 表明,该方法计算便捷、精度好、具有较高的工程应用价值.

关键词: 槽型宽翼受压构件, 剪力滞效应, 传递矩阵法, 场矩阵, 点矩阵

Abstract: Based on the energy variational principle, the governing differential equations and the boundary conditions of a beam-and-slab structure under axial loads are derived, with shear lag effect being taken into account. The initial-value solutions of the equations under a uniformly distributed load are obtained. The field matrix and point matrix are derived, by which the inner force, stress and displacement can be recursively calculated. A transfer matrix method for shear lag analysis of a beam-and-slab structure is put forward. The computation example shows that the method proposed in the paper is valid and effective.

Key words: Beam-and-Slab Structure, Shear Lag Effect, Transfer Matrix Method, Field Transfer Matrix, Point matrix