Catenary deformations of inextensible networks

Catenary deformations of inextensible networks
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不可扩展网络的悬链线变形

DOI:
10.1007/bf00058462
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发表时间:
1994
影响因子:
1.3
通讯作者:
A. Pipkin
A. Pipkin
中科院分区:
工程技术4区
文献类型:
--
作者:
A. Pipkin

文献摘要

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由两个最初正交的索族形成的网络在其边缘处被支撑,并允许在其自身重量下下垂。网被理想化为由不可伸展的纤维形成的连续体,没有剪切阻力。几个家庭的确切解决方案展出,所有涉及悬链线在一种或另一种方式。这些解在边值问题的摄动分析中可能是有用的。
A network formed from two initially orthogonal families of cables is supported at its edges and allowed to sag under its own weight. The net is idealized as a continuum formed from inextensible fibers, with no shear resistance. Several families of exact solutions are exhibited, all involving catenaries in one way or another. These solutions may be useful in connection with perturbation analyses of boundary-value problems.