摘要
该文假定滑动面为三次的拉格朗日插值函数,假定挡土墙后滑面正应力为三次的拉格朗日插值函数,推导出包含被动土压力的水平力、垂直力和绕挡土墙顶点旋转的力矩平衡方程。利用优化原理,迅速准确的确定最危险滑面和最危险滑面对应的最小被动土压力。该方法避免了传统极限平衡条分法计算被动土压力系数的繁琐,并在很大程度上克服了其它近似方法的不精确性,可用于一般工程。
In this paper,based on the assumptions that the slip and the normal stress distribution over the slip surface are represented by Lagrangian interpolation functions,the horizontal and vertical forces and moment equilibrium equations for a sliding body are derived incorporating the effect of a passive earth force.The most dangerous failure surface and minimum passive earth pressure can be readily determined by the principle of optimality with force and moment equilibrium conditions satisfied.The present method deserves application to general engineer since it is free of complexity of conventional limit equilibrium methods of slices,as well as has advantages over other approximate methods of poor accuracy to a large extent.
出处
《工程力学》
EI
CSCD
北大核心
2011年第6期125-129,共5页
Engineering Mechanics
基金
国家自然科学基金项目(40772170)
关键词
岩土工程
被动土压力
极限平衡法
最优性原理
滑面正应力
geotechnical engineering
passive earth pressure
limit equilibrium method
principle of optimality
slip＇s normal
