刚性地基梁非线性分析的积分方程法  

An Integral Equation Method for the Nonlinear Analysis of Beams on a Rigid Foundation

作　　者：周欣竹[1] 何若象[1] 郑建军[1] 

机构地区：[1]浙江工业大学建筑工程学院,杭州310014

出　　处：《科技通报》2007年第3期400-403,407,共5页Bulletin of Science and Technology

基　　金：国家自然科学基金资助项目(50178003)

摘　　要：提出了刚性地基梁非线性分析的积分方程法。以地基反力为未知量,导出了刚性地基梁弯曲的积分方程。通过引入梁的边界条件,建立起一组刚性地基梁关于地基反力和挠度的线性互补方程。利用Lemke方法求解得到梁上任一点处的挠度、转角、弯矩和剪力。最后给出了一些数值结果,表明本文数值解与解析解良好吻合。An integral equation method is presented in this paper for the nonlinear analysis of beams on a rigid foundation. Taking foundation reactions as unknowns, an integral equation for the bending of a beam on a rigid foundation is derived. Introducing the boundary conditions of the beam, a set of linear complementary equations is established of the beam on a rigid foundation in terms of foundation reactions and deflections. The deflection, rotational angle, bending moment and shear force at any point in the beam are obtained by Lemke method. Finally, some numerical results are given to demonstrate the good agreement between the numerical solution presented in this paper and the analytical solution.

关 键 词：刚性地基 梁 积分方程法 非线性分析 

分 类 号：TU311.1[建筑科学—结构工程]