Dynamic analysis of an arch due to a moving load

Wu, Jong‐Shyong; Chiang, Lieh-Kwang

doi:10.1016/s0022-460x(03)00020-8

Cited by 30 publications

(25 citation statements)

References 11 publications

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“…In this respect, Frý ba (1999) presented various kinds of problems dealing with moving loads. More recently, lots of studies have focused on the dynamics of basic structural elements subjected to the moving load (mass), such as the beam (Thambiratnam and Zhuge, 1996;Michaltsos and Kounadis, 2001), arch (curved beam) (Yang et al, 2001;Wu and Chiang, 2004), plate (Kim and Roesset, 1998;Huang and Thambiratnam, 2002;Zhu and Law, 2003), and string (Gavrilov, 1999;Metrikine, 2004).…”

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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“…In this case the geometry of the beam is illustrated in Fig. 5 [25] and the mechanical and geometrical Table 1 Properties of the beam [24]. properties are listed in Table 4.…”

Section: Modeling and Validationmentioning

confidence: 99%

“…A clamped-clamped circular arch with constant span subjected to a moving load with tangential speed V P[25].…”

mentioning

confidence: 99%

Vibration suppression of curved beams traversed by off-center moving loads

Rostam

Javid

Esmailzadeh

et al. 2015

Journal of Sound and Vibration

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“…For an overview of the sizeable early literature on the 10 vibration theory of moving-load problems we refer to Fryba's monograph [6]. More recent works on moving loads or masses travelling along beams are [7][8][9], while more specific studies include moving loads or masses along curved beams or arches [10][11][12], inclined beams [13], multi-span beams [14,15] and tapered beams [16]. Meanwhile, loads or masses travelling along cables (modelled as strings, i.e., without bending stiffness), are studied in [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Planar dynamics of large-deformation rods under moving loads

Zhao

2018

Journal of Sound and Vibration

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We formulate the problem of a slender structure (a rod) undergoing large deformation under the action of a moving mass or load motivated by inspection robots crawling along bridge cables or high-voltage power lines. The rod is described by means of geometrically exact Cosserat theory which allows for arbitrary planar flexural, extensional and shear deformations. The equations of motion are discretised using the generalised-α method. The formulation is shown to handle the discontinuities of the problem well. Application of the method to a cable and an arch problem reveals interesting nonlinear phenomena. For the cable problem we find that large deformations have a resonance detuning effect on cable dynamics. The problem also offers a compelling illustration of the Timoshenko paradox. For the arch problem we find a stabilising (delay) effect on the in-plane collapse of the arch, with failure suppressed entirely at sufficiently high speed.All the above works restrict themselves to beams or cables undergoing small deflections (in [8] moderately large deflections are considered) and all consider only two-dimensional bending vibrations (in [19] equations are first developed for three-dimensional deformations but these are then condensed to a planar model). With the current drive to use thinner and lighter materials, in order to save material and reduce costs, large deformations become increasingly important.

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Dynamic analysis of an arch due to a moving load

Cited by 30 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

Vibration suppression of curved beams traversed by off-center moving loads

Planar dynamics of large-deformation rods under moving loads

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