Uniqueness of Solution of Field Point of Singular Source Outside-Region-Distribution Method

Yun Tianquan

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(1): 33-38

Yun Tianquan. Uniqueness of Solution of Field Point of Singular Source Outside-Region-Distribution Method[J]. Applied Mathematics and Mechanics, 1999, 20(1): 33-38.

Citation:

Yun Tianquan. Uniqueness of Solution of Field Point of Singular Source Outside-Region-Distribution Method[J]. Applied Mathematics and Mechanics, 1999, 20(1): 33-38.

Citation:

Yun Tianquan. Uniqueness of Solution of Field Point of Singular Source Outside-Region-Distribution Method[J]. Applied Mathematics and Mechanics, 1999, 20(1): 33-38.

PDF( 245 KB)

Uniqueness of Solution of Field Point of Singular Source Outside-Region-Distribution Method

Yun Tianquan

Department of Mechanics, South China University of Technology, Guangzhou, 510641, P R China

Received Date: 1997-07-09
Rev Recd Date: 1998-09-20
Publish Date: 1999-01-15

Abstract

Abstract

The uniqueness of solution of field point, inside a convex region due to singular source(s) with kernel function decreasing with distance increasing, outside-region-distribution(s) such that the boundary condition expressed by the response of the source(s) is satisfied, is proved by using the condition of kernel function decreasing with distance increasing and an integral inequality. Examples of part of these singular sources such as Kelvin's point force, Point-Ring-Couple (PRC) etc. are given. The proof of uniqueness of solution of field point in a twisted shaft of revolution due to PRC distribution is given as an example of application.

FullText(HTML)

References(19)

References

[1]	云天铨.积分方程及其在力学中的应用[M].广州:华南理工大学出版社,1990.324～327
[2]	Yun Tianquan.An integral equation method for solving the torsion problem of revolution bodies[J].Journal of Hua-Zhong Institute of Technology (English Edition),1979,1(1):82～98
[3]	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
[4]	Wu B C,Altiero N J.A new numerical method for the analysis of anisotropic thin-plate bending problems[J].Computer Methods in Appl Mech Eng,1981,(25):343～353
[5]	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):699～710
[6]	云天铨.水平刚性岩基上的弹性层表面受垂直集中力问题的积分方程解法[J].固体力学学报,1983,(3):375～382
[7]	云天铨.嵌在倾斜半空间的轴向受力刚性桩的线载荷积分方程法的分析[J].固体力学学报,1986,(1):64～68
[8]	云天铨,张进敏.竖井的近似分析[J].上海力学,1986,7(1):50～54
[9]	云天铨.嵌在弹性半空间的刚性变直径圆轴的扭转[J].应用数学和力学,1988,9(5):449～453
[10]	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
[11]	Yun Tianquan.Analysis of sloping riqid pile under arbitrary load by line-loaded integral equation method[A].In:eds Cheung,Lee Leung.Computional Mechanics Proc of APCOM,Vol1[C],Hong Kong:Balkema,Rotterdam,1991,845～850
[12]	Yun Tianquan,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
[13]	云天铨,顾赫宁.动力点圆力偶作用于弹性全空间的解及其性质[J].应用数学和力学,1993,14(10):845～852
[14]	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[A].见:曹志远主编,结构与介质相互作用理论及其应用[M],北京:河海大海出版社,1993.632～635
[15]	Yun Tianquan,Li L H.Analysis of in-plane-hinge-jointed rigid sloping piles[J].Computers & Structures,1995,55(2):341～346
[16]	Yun Tianquan.Elastodynamic analysis of torsion of shaft of revolution by line-loaded integral equation method[J].Structural Engineering and Mechanics,1998,6(3)
[17]	云天铨,顾赫宁.线粘弹性半空间中轴向受力桩的分析[J].华南理工大学学报,1995,23(4):47～52
[18]	Yun Tianquan,Uniqueness theorem of nonsinqular inteqral equation method[J].Transactions CSME,1986,10(4):197～200
[19]	Brebbia C A.Progress in Boundary Element Methods[M],Vol,1 London:Pentech Press,1981,171.