NON-LINEAR BOUNDARY VALUE PROBLEMS FOR CIRCULAR MEMBRANE

被引：27

作者：

CALLEGARI, AJ

REISS, EL

机构：

[1] Department of Mathematics, University Heights

[2] Courant Institute of Mathematical Sciences, New York University

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1968年 / 31卷 / 05期

关键词：

D O I：

10.1007/BF00251421

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence and uniqueness theorems are proved for two boundary value problems for the axisymmetric deformation of a circular membrane subjected to normal pressure. The nonlinear Föppl membrane theory is employed. The shooting method is used to establish these results. It is also shown that if the edge is free to move in the plane of the membrane then a necessary and sufficient condition for the existence of a unique solution is that the pressure is self-equilibrating. © 1968 Springer-Verlag.

引用

页码：390 / +

页数：1

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