Nonlinear dynamic response of an Euler–Bernoulli beam under a moving mass–spring with large oscillations

This article presents a new approach for the nonlinear dynamic behavior of an Euler–Bernoulli beam under a moving mass. The governing equations for the behavior of the beam under a moving mass in large oscillations including the effect of horizontal and vertical beam displacements are considered via...

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Bibliographic Details
Published in:Archive of applied mechanics (1991) 2020-05, Vol.90 (5), p.1135-1156
Main Authors: Jahangiri, Amir, Attari, Nader K. A., Nikkhoo, Ali, Waezi, Zakariya
Format: Article
Language:English
Subjects:
Classical Mechanics
Dynamic response
Dynamical systems
Energy methods
Engineering
Euler-Bernoulli beams
Galerkin method
Mathematical analysis
Nonlinear dynamics
Nonlinear response
Original
Oscillations
Perturbation methods
Stability analysis
Theoretical and Applied Mechanics
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Summary:This article presents a new approach for the nonlinear dynamic behavior of an Euler–Bernoulli beam under a moving mass. The governing equations for the behavior of the beam under a moving mass in large oscillations including the effect of horizontal and vertical beam displacements are considered via energy method. The systems of governing equations are solved in the condition of external and autoparametric resonance using Galerkin and perturbation methods. In order to validate the solution, the results are compared with a numerical solution and those available in the literature. The governing equations are used for the stability analysis of the beam in different points that will result in spectral responses in stable circumstances.
ISSN:0939-1533
1432-0681
DOI:10.1007/s00419-020-01656-9