## 留言板

 引用本文: 云天铨. 线载荷积分方程法分析桩顶受任意荷载的弹性斜桩[J]. 应用数学和力学, 1999, 20(4): 351-357.
Yun Tianquan. Analysis of Sloping Elastic Pile Under Arbitrary Loads by Line-Loaded Integral Equation Method[J]. Applied Mathematics and Mechanics, 1999, 20(4): 351-357.
 Citation: Yun Tianquan. Analysis of Sloping Elastic Pile Under Arbitrary Loads by Line-Loaded Integral Equation Method[J]. Applied Mathematics and Mechanics, 1999, 20(4): 351-357.

## 线载荷积分方程法分析桩顶受任意荷载的弹性斜桩

###### 作者简介:云天铨(1936~ ),男,教授,主要研究积分方程及其在力学中的应用,近期研究"计算股市".
• 中图分类号: O175.5;O343.3

## Analysis of Sloping Elastic Pile Under Arbitrary Loads by Line-Loaded Integral Equation Method

• 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,QyZ,力偶矩MyMx,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.
•  [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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##### 出版历程
• 收稿日期:  1997-12-19
• 修回日期:  1998-09-16
• 刊出日期:  1999-04-15

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