Unusual expression of tension of a massless cable with application to the oscillations of a mass suspended to a cable with a variable length

被引：8

作者：

Babaz, Mathieu ^{[1
]}

Jezequel, Louis ^{[1
]}

Lamarque, Claude-Henri ^{[1
]}

Perrard, Patrick ^{[1
]}

机构：

[1] Ecole Cent Lyon, Lab Tribol & Dynam Syst, F-69134 Ecully, France

来源：

JOURNAL OF SOUND AND VIBRATION | 2016年 / 363卷

关键词：

ASYMPTOTIC APPROXIMATIONS; FREE-VIBRATIONS; EQUATIONS; DYNAMICS;

D O I：

10.1016/j.jsv.2015.10.020

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A new approach of cables' dynamics is presented in this paper. It is based on the exact expression of tension coming from continuum mechanics, while the previous elastic models of cables in open literature consider an approximation of small strain which reduces the cable to a linear spring. The equations of a mass suspended to a massless cable are derived on the basis of this new formulation. The problem is studied and numerically calculated for one and two degrees of freedom. A comparison with the classical approach and a nonlinear analysis are presented. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：446 / 459

页数：14

共 31 条

[1]

Broucke R., 1973, Celestial Mechanics, V8, P261, DOI 10.1007/BF01231426

[2] ENERGY METHOD DETERMINATION OF LARGE CABLE DYNAMICS [J].

CARSON, WW ;

EMERY, AF .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1976, 43 (02) :330-334

[3]

Charmet J.C., 2007, MECANIQUE SOLIDE MAT

[4]

Gorelick G., 1933, J. Tech. Phys. (USSR), V3, P244

[5] RESONANT OSCILLATIONS OF AN EXTENSIBLE PENDULUM [J].

HEINBOCKEL, JH ;

STRUBLE, RA .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1963, 14 (03) :262-+

[6]

IRVINE HM, 1978, J STRUCT DIV-ASCE, V104, P343

[7] LINEAR THEORY OF FREE VIBRATIONS OF A SUSPENDED CABLE [J].

IRVINE, HM ;

CAUGHEY, TK .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1974, 341 (1626) :299-&

[8] ON A CLASS OF 2-DEGREE-OF-FREEDOM OSCILLATIONS [J].

KANE, TR ;

KAHN, ME .

JOURNAL OF APPLIED MECHANICS, 1968, 35 (03) :547-&

[9]

Lacarbonara W., 2013, Nonlinear structural mechanics, the elastic cable: From formulation to computation

[10]

METTLER E, 1968, P 4 C NONL OSC, P51

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