域外奇源分布法场点解的唯一性

云天铨

域外奇源分布法场点解的唯一性

云天铨

华南理工大学工程力学系, 广州 510641

详细信息

作者简介:
云天铨(1936～ ),男,教授.

中图分类号: O173.5;O343.5
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出版历程
- 收稿日期: 1997-07-09
- 修回日期: 1998-09-20
- 刊出日期: 1999-01-15

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

摘要

摘要: 应用奇源解的核函数沿距离递减的条件和积分不等式,可证这类奇源在凸域外分布只要满足以它产生的响应来表达的边界条件时,所引起相应的域内场点解是唯一的。文中给出这类奇源的部分例子,如Kelvin的点力,点圆力偶(PRC)等。并给出PRC分布解回转体扭转问题的场点解的唯一性证明作为应用例。
- 奇源解 /
- 域外奇源分布法 /
- 非奇异积分方程法 /
- 边界元法 /
- 线载荷积分方
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.
- solution of singular soures /
- singular source outside-region-distribution method /
- non-singular integral equation method /
- boundary element method /
- line-loaded integral equation method

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参考文献(19)

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