Equilibrium Solutions and Existence for Traveling, Arbitrarily Sagged Elastic Cables

A. C. J. Luo; C. D. Mote Jr.

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Equilibrium Solutions and Existence for Traveling, Arbitrarily Sagged Elastic Cables

机译：Equilibrium Solutions and Existence for Traveling, Arbitrarily Sagged Elastic Cables

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The exact, closed-form, three-dimensional solutions for the steady motion of traveling, sagged, elastic cables under arbitrarily distributed and concentrated loading are developed in this paper. Three components of displacement describing two equilibrium states of an extensible traveling elastic cable are derived. These exact solutions apply to straight and sagged cables traveling under their own weight and uniformly distributed loading. The exact solutions are also used to investigate the steady motion of three-dimensional traveling cables under the uniformly distributed and concentrated loading. Traveling elastic cables with large sag can be modeled approximately through the inextensible cable model when both the loading and the translation speed are very small. A slightly sagged cable must be modeled as extensible, rather than inextensible, even though both the loading and transport speed are very small. These solutions can be applied to multispan cable structures.

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《Journal of Applied Mechanics》 |2000年第1期|148-154|共7页
作者
A. C. J. Luo; C. D. Mote Jr.;
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作者单位

Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, IL 62034-1805;

Glen L. Martin Professor of Engineering, Office of the President, Main Administration Building, University of Maryland, College Park, MD 20742 Honorary;

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正文语种英语
中图分类应用力学;
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Equilibrium Solutions and Existence for Traveling, Arbitrarily Sagged Elastic Cables

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