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

被引：6
|
作者：
Strozzi, Antonio [1 ]
机构：
[1] Univ Modena, I-41125 Modena, Italy
来源：
JOURNAL OF ELASTICITY | 2012年 / 108卷 / 01期
关键词：
Biharmonic equation; Cylindrical problems; Stress function; Series solution; Legendre polynomials;
D O I：
10.1007/s10659-011-9353-2
中图分类号：
T [工业技术];
学科分类号：
08 ;
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 I broken vertical bar 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：5
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