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Equivalent representation form of oscillators with elastic and damping nonlinear terms

In this work we consider the nonlinear equivalent representation form of oscillators that exhibit nonlinearities in both the elastic and the damping terms. The nonlinear damping effects are considered to be described by fractional power velocity terms which provide better predictions of the dissipative effects observed in some physical systems. It is shown that their effects on the system dynamics response are equivalent to a shift in the coefficient of the linear damping term of a Duffing oscillator. Then, its numerical integration predictions, based on its equivalent representation form given by the well-known forced, damped Duffing equation, are compared to the numerical integration values of its original equations of motion. The applicability of the proposed procedure is evaluated by studying the dynamics response of four nonlinear oscillators that arise in some engineering applications such as nanoresonators, microresonators, human wrist movements, structural engineering design, and chain dynamics of polymeric materials at high extensibility, among others

© Mathematical Problems in Engineering, 2013, vol. 2013, p.383947

Hindawi Publishing Corporation

Autor: Elías-Zúñiga, Alex
Olvera, Daniel
Ferrer Real, Inés
Martínez-Romero, Oscar
Data: 2013
Resum: In this work we consider the nonlinear equivalent representation form of oscillators that exhibit nonlinearities in both the elastic and the damping terms. The nonlinear damping effects are considered to be described by fractional power velocity terms which provide better predictions of the dissipative effects observed in some physical systems. It is shown that their effects on the system dynamics response are equivalent to a shift in the coefficient of the linear damping term of a Duffing oscillator. Then, its numerical integration predictions, based on its equivalent representation form given by the well-known forced, damped Duffing equation, are compared to the numerical integration values of its original equations of motion. The applicability of the proposed procedure is evaluated by studying the dynamics response of four nonlinear oscillators that arise in some engineering applications such as nanoresonators, microresonators, human wrist movements, structural engineering design, and chain dynamics of polymeric materials at high extensibility, among others
Format: application/pdf
ISSN: 1024-123X (versió paper)
1563-5147 (versió electrònica)
Accés al document: http://hdl.handle.net/10256/10184
Llenguatge: eng
Editor: Hindawi Publishing Corporation
Col·lecció: Reproducció digital del document publicat a: http://dx.doi.org/10.1155/2013/383947
Articles publicats (D-EMCI)
info:eu-repo/grantAgreement/EC/FP7/247476
És part de: © Mathematical Problems in Engineering, 2013, vol. 2013, p.383947
Drets: Attribution 3.0 Spain
URI Drets: http://creativecommons.org/licenses/by/3.0/es/
Matèria: Oscil·lacions no lineals
Nonlinear oscillations
Amortiment (Mecànica)
Damping (Mechanics)
Vibració
Vibration
Títol: Equivalent representation form of oscillators with elastic and damping nonlinear terms
Tipus: info:eu-repo/semantics/article
Repositori: DUGiDocs

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