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。
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.
出处
《应用数学和力学》
CSCD
北大核心
1999年第1期33-38,共6页
Applied Mathematics and Mechanics
关键词
奇源解
域外奇源分布法
场点解
回转体
扭转
solution of singular soures
singular source outside_region_distribution method
non_singular integral equation method
boundary element method
line_loaded integral equation method
