摘要
嵌在各向同性均匀弹性半空间的弹性斜桩顶部，受任意荷载的位移和应力，可分解为在倾斜平面ｘＯｚ及其法平面ｙＯｚ内进行分析·将Ｍｉｎｄｌｉｎ力作为基本虚载荷，令集度为未知函数Ｘ（ｔ）、Ｙ（ｔ）、Ｚ（ｔ），分别平行于ｘ、ｙ、ｚ轴，的基本载荷沿桩轴ｔ的［０，Ｌ］内分布，并在桩顶作用集中力Ｑｘ、Ｑｙ、Ｚ，力偶矩Ｍｙ、Ｍｘ，根据弹性桩的边界条件，将问题归结为一组Ｆｒｅｄｈｏｌｍ＿Ｖｏｌｅｒａ型的积分方程·文中给出数值解·计算结果的精度可用功的互等定理来检查·
The analysis of displacement and stress of elastic sloping pile embedded in a homogeneous isotropic elastic half space under arbitrary loads at top can be decomposed into two plane systems, i.e., the inclined plane xOz and its normal plane yOz . Let Mindlin's forces be the fundamental loads with unknown intensity function X(t),Y(t),Z(t) ,parallel to x,y,z _axis respectively, be distributed along the t _axis of the pile in and concentrated forces Q x,Q y,Z ,couples M y,M x at top of the pile, then, according to the boundary condtions of elastic pile, the problem is reduced to a set of Fredholm_Volterra type equations. Numerical solution is given and the accuracy of calculation can be checked by the reciprocal theorem of work.
出处
《应用数学和力学》
CSCD
北大核心
1999年第4期351-357,共7页
Applied Mathematics and Mechanics
关键词
线载荷积分方程
斜桩
桩顶
荷载
集中力
line_loaded integral equation method
reciprocal theorem of work
sloping elastic pile
