A Note on the Legendre Series Solution of the Biharmonic Equation for Cylindrical Problems

被引:0
|
作者
Antonio Strozzi
机构
[1] Modena University,
来源
Journal of Elasticity | 2012年 / 108卷
关键词
Biharmonic equation; Cylindrical problems; Stress function; Series solution; Legendre polynomials; 74B05; 31A30; 42C05;
D O I
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学科分类号
摘要
The solution of cylindrical problems is addressed. A series solution is considered of the biharmonic equation, in which the series terms of the stress function Φ are expressions based upon Legendre polynomials and logarithmically singular functions. An explicit form of a polynomial supplementing each logarithmically singular part of the series solution is obtained.
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页码:119 / 123
页数:4
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