The transient dynamics of a cable-mass system due to the motion of an attached accelerating mass

Wang, Yi Ming

doi:10.1016/s0020-7683(98)00293-5

Cited by 20 publications

(6 citation statements)

References 11 publications

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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. Al-Qassab et al (2003) derived the equations of motions of horizontal and inclined cables with arbitrary sag and variable velocity of the moving 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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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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“…Then, the dynamic response of the cable was determined by the Newmark direct integration method together with the Newton-Raphson iterative procedure. More recently, Wang (2000) presented an analytical and numerical study of the transient vibrations of a taut inclined cable with a riding accelerating mass modelled as a rigid body. The differential equations of motion were derived by superposing small displacements on the catenary state of the cable.…”

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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“…이동하중을 받는 현에 대하여 Tadjbakhsh 와 Wang (1,2) 가 현을 따라 가속 운동하는 질점의 모델에 대한 과도상태 응답을 수치적 해법과 갤러킨법(Galerkin's method) 을 이용하여 구하였으며, Al-Qassab 등 (3) 이 더욱 정확하다는 사실을 규명하였다.…”

Section: 서 론unclassified

Dynamic Analysis of Catenary System Subjected to Moving Load

Lee¹,

Cho²,

Chung

2011

Transactions of the Korean Society of Mechanical Engineers A

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서 론일정한Abstract: In this study, the dynamic contact of a catenary system is analyzed by using the finite element method. We derive the equations of motion for the catenary system by taking into consideration tension on the catenaries. After establishing the weak form, they are spatially discretized with beam elements. Then, we analytically calculated the wave propagation speed for a string, bar, beam, and the catenaries subjected to tension. Further, finite element computer program for contact dynamic analyses is developed. Finally, we analyze the wave propagation response corresponding to the moving load to the contact line are calculated.

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The transient dynamics of a cable-mass system due to the motion of an attached accelerating mass

Cited by 20 publications

References 11 publications

Modelling and transient planar dynamics of suspended cables with moving mass

Modelling and transient planar dynamics of suspended cables with moving mass

Dynamic analysis of suspended cables carrying moving oscillators

Dynamic Analysis of Catenary System Subjected to Moving Load

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