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.

引用

页码：119 / 123

页数：5

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