transient and steady-state responses of an asymmetric nonlinear oscillator

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ID: 254639
2013
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Abstract
We study the dynamical response of an asymmetric forced, damped Helmholtz-Duffing oscillator by using Jacobi elliptic functions, the method of elliptic balance, and Fourier series. By assuming that the modulus of the elliptic functions is slowly varying as a function of time and by considering the primary resonance response of the Helmholtz-Duffing oscillator, we derived an approximate solution that provides the time-dependent amplitude-frequency response curves. The accuracy of the derived approximate solution is evaluated by studying the evolution of the response curves of an asymmetric Duffing oscillator that describes the motion of a damped, forced system supported symmetrically by simple shear springs on a smooth inclined bearing surface. We also use the percentage overshoot value to study the influence of damping and nonlinearity on the transient and steady-state oscillatory amplitudes.
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elas-ziga2013mathematicaltransient Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Alex Elías-Zúñiga;Oscar Martínez-Romero
Journal journal of power sources
Year 2013
DOI
10.1155/2013/574696
URL
http://dx.doi.org/10.1155/2013/574696
Keywords
civil engineering (general)mathematics engineering (general)

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