Multiple Equilibrium States of Nonlinearly Elastic Strings
Multiple Equilibrium States of Nonlinearly Elastic Strings
复制标题
非线性弹性弦的多重平衡态
DOI：
10.1137/0137043
复制
发表时间：
1979
影响因子：
1.9
通讯作者：
S. Antman
中科院分区：
文献类型：
--
作者：
S. Antman
本文对三种不同加载方式下非线性弹性弦的平衡态的存在性、多重性和定性行为进行了综合处理。结果表明，垂直加载的弦具有唯一的凸平衡态和成对出现的凹平衡态。所有平衡态都是这两种形式中的一种。类似的，尽管更复杂，结果也适用于正常压力下的弦。
This paper presents a comprehensive treatment 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.