Analytical solutions of boundary-value problems of elasticity for confocal elliptic ring and its parts

被引：3
|
作者：
Zirakashvili, N. [1 ]
机构：
[1] Iv Javakhishvili Tbilisi State Univ, I Vekua Inst Appl Math, 2 Univ St, Tbilisi, Georgia
来源：
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING | 2018年 / 40卷 / 08期
关键词：
Elasticity; Boundary-value problem; Separation variables; Superposition; Confocal elliptic ring;
D O I：
10.1007/s40430-018-1307-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The work considers the method used to present the solutions of the boundary-value problems of elasticity for a confocal elliptic ring and its parts by using the analytical (exact) solutions of an ellipse and its corresponding internal and external problems. The analytical solutions are obtained by the method of separation of variables. The numerical results of the concrete problems are obtained, and corresponding graphs are constructed.
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页数：19
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