Analysis of Sloping Elastic Pile Under Arbitrary Loads by Line-Loaded Integral Equation Method
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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.Abstract: For analysis of displacement and stress,an elastic sloping pile embedded in a homogeneous isotropic elastic half space under arbitrary loads at the 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 Qx,Qy,Z,couples My,Mx at top of the pile.Then,according to the boundary conditions 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.
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[1] Yun Tianquan.Analysis of sloping rigid pile under arbitrary loads by Line-Loaded Integral Equation Method[A].In:Y K Cheung,JHW Lee,AYT Leung eds.Computational Mechanics,1[C].Rotterdam:A A Balkema,1991,845~850. [2] Yun T Q,Li L.Analysis of In-Plane-Hinge-Jointed rigid sloping piles[J].Computers & Structures,1995,55(2):341~346. [3] 云天铨.共面铰接刚性斜桩结构体系的线载荷积分方程法的分析,结构与介质相互作用理论及其应用[M].北京:河海大学出版社,1993:632~635. [4] Yun Tianquan.An integral equation method for solving the torsion problem of bodies of revolution[J]．Journal of Huazhong Institute of Technology[J],1979,(1):82~97. [5] 云天铨,简便积分方程法分析桩[J].应用数学和力学,1981,2(3):307~320. [6] 云天铨,肖永谦,邱崇光.受轴向集中压力的椭球体的应力分析[J].应用数学和力学,1981,2(6):641~650. [7] 云天铨.包含一受扭回转轴的半空间的性质[J].应用数学和力学,1988,9(6):487~490. [8] 云天铨.嵌入弹性半空间的弹性回转轴的扭转[J].应用数学和力学,1990,11(6):489~498. [9] Yun T Q,Su C.Analysis of shaft embedded in granular half space by the Line-Loaded Integral Equation Method[J].Computers & Structures,1992,43(4):729~735. [10] Yun Tianquan.Elastodynamic analysis of torsion of shaft of revolution by Line-Loaded Integral Equation Method[J]．Structural Engineering and Mechanics,An Int J,1988,6(3). [11] 云天铨.域外奇源分布法场点解的唯一性[J].应用数学和力学,1999,20(1):33~38. [12] Mindlin R B.Force at a point in the interior of a semi-infinite solid[J].J Physics,1936,77:195. -
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