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Archive of Applied Mechanics

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23-01-2020 | Original

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

Authors: Amir Jahangiri, Nader K. A. Attari, Ali Nikkhoo, Zakariya Waezi

Published in: Archive of Applied Mechanics | Issue 5/2020

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Abstract

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.

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Title: Nonlinear dynamic response of an Euler–Bernoulli beam under a moving mass–spring with large oscillations
Authors: Amir Jahangiri
Nader K. A. Attari
Ali Nikkhoo
Zakariya Waezi
Publication date: 23-01-2020
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 5/2020
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-020-01656-9

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