Multiple Equilibrium States of Slightly Extensible Elastic Strings

Multiple Equilibrium States of Slightly Extensible Elastic Strings
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微伸弹力弦的多重平衡状态

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发表时间:
1997
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通讯作者:
P. Wolfe
P. Wolfe
中科院分区:
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文献类型:
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作者:
P. Wolfe

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我们考虑了受自重横向载荷的弹性弦的平衡状态。我们感兴趣的是不可伸长弦的平衡态与具有非线性弹性和轻微可伸长弦的平衡态之间的关系。不可伸长弦的凹平衡态是唯一的,而非线性弹性弦的凹平衡态是成对出现的。在本文中,我们将探讨这两种模式之间的关系。
We consider the equilibrium states of elastic strings loaded transversely by their own weight. We are interested in the relation between the equilibrium states of inextensible strings and those of strings which are nonlinearly elastic and slightly extensible. The inextensible string has a unique concave equilibrium state while the concave equilibrium states of a nonlinearly elastic string come in pairs. In this paper we explore the relation between the two models.