The dynamic analysis of a suspended cable due to a moving load

Wu, Jong‐Shyong; Chen, Chi-Ching

doi:10.1002/nme.1620281011

Cited by 26 publications

(8 citation statements)

References 10 publications

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“…Their results indicate the existence of a critical velocity above which the system is dynamically unstable. In a later study, Wu and Chen [13] analyzed a saggy suspended cable with moving mass by using the Newmark direct integration method incorporating the Newton-Raphson iteration technique. Their results show that the dynamic response of a cable with a moving mass is influenced by the parameters used in the system.…”

Section: Xolo (Uo/ml2o)'/2tmentioning

confidence: 99%

Transient vibrations of a tau inclined cable with a riding accelerating mass

Tadibakhsh

Wang

1994

Nonlinear Dyn

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The objective of this paper is a theoretical and numerical study of the dynamics of a taut inclined cable with a riding accelerating mass, which is suspended from two points of different elevation. The moving mass is a trolley that is accelerated by a solid fuel rocket down the inclined cable and is aerodynamically brought to a halt. The thrust of the rocket is tangential to the deformed configuration of the cable.Methods of analysis consist of the dynamics of small deformations superimposed on the static catenary state. The problem is nonlinear due to presence of friction and the convective acceleration interaction of the moving mass and the cable. Galerkin's procedure for removal of spatial dependence and numerical integration are used to obtain convergent solutions.

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Section: Xolo (Uo/ml2o)'/2tmentioning

confidence: 99%

Transient vibrations of a tau inclined cable with a riding accelerating mass

Tadibakhsh

Wang

1994

Nonlinear Dyn

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“…The dynamics of stretched strings has attracted significant attention (Frýba, 1999;Gavrilov, 1999;Metrikine, 2004;Rodeman et al, 1976;Tait and Duncan, 1992;Tzou and Bergman, 1998;Wickert and Mote, 1991;Yen and Tang, 1970;Zhu et al, 1994), while, to the authors' knowledge, comparatively much less studies have focused on the response of sagged cables to moving loads. Wu and Chen (1989) investigated the dynamic behaviour of an extensible cable suspended between level supports under a moving load. They used the Updated Lagrangian formulation and the finite element method to derive the equation of motion, properly including the convective acceleration terms.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of suspended cables carrying moving oscillators

Sofi

Muscolino

2007

International Journal of Solids and Structures

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An efficient procedure for analyzing in-plane vibrations of flat-sag suspended cables carrying an array of moving oscillators with arbitrarily varying velocities is presented. The cable is modelled as a mono-dimensional elastic continuum, fully accounting for geometrical nonlinearities. By eliminating the horizontal displacement component through a standard condensation procedure, the nonlinear integro-differential equation governing vertical cable vibrations is derived. Due to the dynamic interaction at the contact points with the moving oscillators, such equation is coupled to the set of ordinary differential equations ruling the response of the travelling sub-systems. An improved series representation of vertical cable displacement is proposed, which allows to overcome the inability of the traditional Galerkin method to reproduce the kinks and abrupt changes of cable configuration at the interface with the moving sub-systems. Following the philosophy of the well-known ''mode-acceleration'' method, the convergence of the series expansion of cable response in terms of appropriate basis functions is improved through the introduction of the so-called ''quasi-static'' solution. Numerical results demonstrate that, despite the basis functions are continuous, the improved series enables to capture with very few terms the abrupt changes of cable profile at the contact points between the cable and the moving oscillators.

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“…Wu and Chen (1989) applied the finite element method (FEM) to investigate the dynamics of the suspended cable subjected to a moving load. Wang (2000) used the Galerkin method and Runge-Kutta method to examine the motion of an inclined cable with an accelerating mass.…”

Section: Introductionmentioning

confidence: 99%

Modelling and transient planar dynamics of suspended cables with moving mass

Wang

Rega

2010

International Journal of Solids and Structures

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In this study, the 3D nonlinear equations of motion of the suspended cable with moving mass are obtained via the Hamilton principle, and its transient linear planar dynamics is investigated. Considering the quasi-static assumption, the condensed planar model accounting for the effect of the moving mass is derived, and it is then discretized by choosing the static deflection and sine series as shape functions. It is shown that this expansion shows good convergence features. The Newmark method is used to investigate the transient response. The effects of the inertia force, mass, sag and velocity of the moving mass on the transient dynamics of the suspended cable are systematically investigated. Finally, the horizontal tension of the suspended cable and the case of sequentially moving masses are examined. (C) 2010 Elsevier Ltd. All rights reserved

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The dynamic analysis of a suspended cable due to a moving load

Cited by 26 publications

References 10 publications

Transient vibrations of a tau inclined cable with a riding accelerating mass

Transient vibrations of a tau inclined cable with a riding accelerating mass

Dynamic analysis of suspended cables carrying moving oscillators

Modelling and transient planar dynamics of suspended cables with moving mass

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