弹性地基板的非线性分析

本文以路面工程为应用背景,针对弹性地基上承受横向载荷的板体进行了非线性有限元分析,采用考虑横向剪切变形的中厚板非协调单元模式,改进了数值性能,避免由于局部小面积受载时,剪切变形较大带来的误差,同时将地基刚度矩阵引入失衡力迭代格式中,保证解的收敛性.文中给出了载荷位于板中、板边、板角时的板体变形情况和破坏状况以及极限承载能力,并与塑性铰线理论、弹性薄板理论进行了比较和分析.

NONLINEAR ANALYSIS OF PLATES ON ELASTIC FOUNDATION

In this paper, the plates on elastic foundation, which carry the transverse loading, are analyzed by the nonlinear finite element method. The use of the non-conforming element mode in the plate theory in consideration of the effect of transverse shear deformation avoids the errors arisen from shear deformation during small area loading. The algorithm of iteration of nonlinear finite element method is improved. The deformation, failure condition and ultimate bearing capacity of the plates with loading at its center, edge and corner have been presented. The results are compared and discussed with those from the plastic hinge theory and thin plate theory.