A general algorithm for moving mass problems

Ting, Edward C.; Genin, Joseph; Ginsberg, Jerry H.

doi:10.1016/s0022-460x(74)80072-6

Cited by 117 publications

(43 citation statements)

References 6 publications

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“…Two guideways are considered: single-span beam and two-span beam. Reports of extensive studies of moving loads acting on elastic structures have been published (Fryba 1972;Kerr 198 1;Ting et al 1974;Wilson 1973). This study emphasizes applications to maglev systems.…”

Section: The Vehicle As a Moving Force On A Guidewaymentioning

confidence: 99%

Vehicle/guideway interaction in maglev systems

Y¹,

Chen²,

Rote³

1992

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Section: The Vehicle As a Moving Force On A Guidewaymentioning

confidence: 99%

Vehicle/guideway interaction in maglev systems

Y¹,

Chen²,

Rote³

1992

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“…The increment in the components of the second Piola-Kirchhoff stress tensor from time t to time t + At is denoted as = non-linear component of By substituting equations (14) and (15) into equation (I 2) and using the approximate relationship ' 6 "" t&NN = ,EteNN~G,eNN, where E = Young's modulus, one obtains the following equations of motion for the updated Lagrangian formulation:…”

Section: Updated Lagrangian Formulationmentioning

confidence: 99%

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

Chen²

1989

Numerical Meth Engineering

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SUMMARYThe dynamic behaviour of a saggy suspension cable under a moving load was investigated. First of all, the updated Lagrangian formulation and the finite element method were used to derive the property matrices of a saggy suspension cable in order to define the discretized equations of motion. Then, the Jacobi method was applied to the determination of the natural frequencies and the mode shapes of the suspended cable. The moving-load-induced dynamic responses of the saggy suspended cable were obtained by using the Newmark direct integration method incorporated with the Newton -Raphson iteration technique. The influence of some pertinent factors, such as speed of moving load, ratio of axial rigidity to total cable weight (AE/OrityoL) and ratio of moving load mass to total cable mass, is the key point of the dynamic analysis.

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“…Ting et al [6] were among the first to consider the inertial forces, including centrifugal and Coriolis effects, of the moving mass as an interaction between the mass and the beam. Further studies of the moving mass problem include [7,8,9].…”

Section: Introductionmentioning

confidence: 99%

Vibrations of beams and rods carrying a moving mass

Zhao

2016

J. Phys.: Conf. Ser.

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Abstract. We study the vibration of slender one-dimensional elastic structures (beams, cables, wires, rods) under the effect of a moving mass or load. We first consider the classical smalldeflection (Euler-Bernoulli) beam case, where we look at tip vibrations of a cantilever as a model for a barreled launch system. Then we develop a theory for large deformations based on Cosserat rod theory. We illustrate the effect of moving loads on large-deformation structures with a few cable and arch problems. Large deformations are found to have a resonance detuning effect on the cable. For the arch we find different failure modes depending on its depth: a shallow arch fails by in-plane collapse, while a deep arch fails by sideways flopping. In both cases the speed of the traversing load is found to have a stabilising effect on the structure, with failure suppressed entirely at sufficiently high speed.

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A general algorithm for moving mass problems

Cited by 117 publications

References 6 publications

Vehicle/guideway interaction in maglev systems

Vehicle/guideway interaction in maglev systems

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

Vibrations of beams and rods carrying a moving mass

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