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Stability Analysis of Nonlinear Time Varying System of Beam-moving Mass Considering Friction Interaction


Affiliations
1 Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran, Islamic Republic of
 

In this paper, a new analysis is performed on dynamic behavior of beam-moving mass system, considering all the linear and nonlinear inertia terms of the moving mass as well as the friction between the beam and the mass. The partial deferential governing equation is transferred to a discretized form, using Galerkin method. Then the Homotopy perturbation method is used to solve the nonlinear time varying discretized equation of motion. In addition to the approximate analytic solution of the equation, the border line of stable and unstable regions and the resonance curves in the mass-velocity parametric plane are determined semi-analytically. The numerical simulation is used to verify these new finding from the analysis.

Keywords

Beam-moving Mass, Homotopy Perturbation Method, Nonlinear Time Varying System
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  • Stability Analysis of Nonlinear Time Varying System of Beam-moving Mass Considering Friction Interaction

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Authors

M. Ghomeshi Bozorg
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran, Islamic Republic of
M. Keshmiri
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran, Islamic Republic of

Abstract


In this paper, a new analysis is performed on dynamic behavior of beam-moving mass system, considering all the linear and nonlinear inertia terms of the moving mass as well as the friction between the beam and the mass. The partial deferential governing equation is transferred to a discretized form, using Galerkin method. Then the Homotopy perturbation method is used to solve the nonlinear time varying discretized equation of motion. In addition to the approximate analytic solution of the equation, the border line of stable and unstable regions and the resonance curves in the mass-velocity parametric plane are determined semi-analytically. The numerical simulation is used to verify these new finding from the analysis.

Keywords


Beam-moving Mass, Homotopy Perturbation Method, Nonlinear Time Varying System

References





DOI: https://doi.org/10.17485/ijst%2F2013%2Fv6i11%2F40395