Item
ElÃasZÃºÃ±iga, Alex
Olvera, Daniel Ferrer Real, InÃ©s MartÃnezRomero, Oscar 

2013  
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 wellknown 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  
application/pdf  
1024123X (versiÃ³ paper) 15635147 (versiÃ³ electrÃ²nica) 

http://hdl.handle.net/10256/10184  
eng  
Hindawi Publishing Corporation  
ReproducciÃ³ digital del document publicat a: http://dx.doi.org/10.1155/2013/383947 Articles publicats (DEMCI) info:eurepo/grantAgreement/EC/FP7/247476 

Â© Mathematical Problems in Engineering, 2013, vol. 2013, p.383947  
Attribution 3.0 Spain  
http://creativecommons.org/licenses/by/3.0/es/  
OscilÂ·lacions no lineals
Nonlinear oscillations Amortiment (MecÃ nica) Damping (Mechanics) VibraciÃ³ Vibration 

Equivalent representation form of oscillators with elastic and damping nonlinear terms  
info:eurepo/semantics/article  
DUGiDocs 