Combined Parametric and Forced Resonance of Axially Moving and Current-Carrying Beams Under Moving Loads

RONG Yantian; HU Yuda

doi:10.21656/1000-0887.380128

Volume 39 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 2018 > 39(3): 266-277

RONG Yantian, HU Yuda. Combined Parametric and Forced Resonance of Axially Moving and Current-Carrying Beams Under Moving Loads[J]. Applied Mathematics and Mechanics, 2018, 39(3): 266-277. doi: 10.21656/1000-0887.380128

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Combined Parametric and Forced Resonance of Axially Moving and Current-Carrying Beams Under Moving Loads

doi: 10.21656/1000-0887.380128

College of Civil Engineering and Mechanics;Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei Province, Yanshan University, Qinhuangdao, Hebei 066004, P.R.China

Funds: The National Natural Science Foundation of China(11472239)

Received Date: 2017-05-09
Rev Recd Date: 2017-05-31
Publish Date: 2018-03-15

Abstract

Abstract

The combined parametric and forced resonance of axially moving beams subjected to moving loads in magnetic field environment was investigated. For an axially moving and current-carrying beam, the mechanical model under moving load in the magnetic field was established. The Hamiltonian variational principle was applied to formulate the nonlinear magnetoelastic vibration equations. By means of the Galerkin integral method and the multiscale method, the nonlinear primary parametric amplitude-frequency response equations were achieved with the moving load as a variable. The curves of the amplitude changing with the tuning parameters, the tension disturbance, the moving load, the magnetic induction intensity and the moving load length were drawn. The influences of the axial tension, the moving load and other parameters on the dynamic behaviors of the parametric system were analyzed through numerical calculation. The results show that the system presents typical nonlinear vibration characteristics; moreover, the moving load and the magnetic field control the occurrence of the multi-value amplitude phenomenon.
- current-carrying beam,
- combined parametric and forced resonance,
- magnetic field,
- moving load,
- multiscale method

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References(16)

References

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