On the periodic orbits of the perturbed Wilberforce pendulum-Reference-Cited by-同舟云学术

On the periodic orbits of the perturbed Wilberforce pendulum

Published:2014-06-25 Issue:4 Volume:22 Page:932-939
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

de Bustos M Teresa¹,López Miguel A²,Martínez Raquel²

Affiliation:

1. Department of Applied Mathematics, University of Salamanca, Spain

2. Department of Mathematics, University of Castilla-La Mancha, Spain

Abstract

The aim of the present work is to study the periodic structure of the Wilberforce pendulum under the effects of certain dependent perturbations. We use as a mathematical tool the averaging theory of dynamical systems by providing a system of two nonlinear equations whose simple zeros are linked to periodic solutions of the perturbed system.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546314538299

Reference10 articles.

1. A study on friction-tuned mass damper: harmonic solution and statistical linearization

2. Wilberforce pendulum oscillations and normal modes

3. Periodic solutions of nonlinear periodic differential systems with a small parameter

4. On the Periodic Auto–Oscillations of an Electric Circuit with Periodic Imperfections on Its Variables

5. On the periodic solutions of a linear chain of three identical atoms

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