无拉力半空间地基梁静力分析的线性互补解法

Linear complementary method for the statics analysis of beams on tensionless half-space foundation

本文讨论了无拉力半空间地基梁静力分析的线性互补解法．将地基反力作为未知函数进行近似插值，对梁和半空间地基分别进行解析求解而获得１组地基与梁之间相对竖向位移和反力的线性互补方程．利用Ｌｅｍｋｅ方法求解线性互补方程而得到梁的挠度、转角。

In this paper, the linear complementary method for the statics analysis of beams on tensionless half-space foundation is discussed. Taking the reaction forces of foundation as a unknown function and making approximately interpolating the linear complementary equations of relative vertical displacements and reaction forces between foundation and beams are obtained by applying analytics. The deflection rotation angle, moment, and shear of beam as well as the reaction force of foundation are derived by solving linear complementary equation when lemke method is applied. Calculation results demonstrate that the difference between linear solution and nonlinear solution is distict.