MULTIPLE EQUILIBRIUM STATES OF NONLINEARLY ELASTIC STRINGS

被引：26

作者：

ANTMAN, SS ^{[1
]}

机构：

[1] UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1979年 / 37卷 / 03期

关键词：

D O I：

10.1137/0137043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A comprehensive treatment is presented of the existence, multiplicity, and qualitative behavior of equilibrium states for nonlinearly elastic strings under three different loading systems. It is shown that vertically loaded strings have unique convex equilibrium states and have concave equilibrium states that come in pairs. All equilibrium states are of one of these two forms. Similar, though more complicated, results hold for strings under normal pressure.

引用

页码：588 / 604

页数：17

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