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 surfa...
ABSTRACT The Duffing oscillator is well-known models of nonlinear system, with applications in many ...
We address two aspects of the dynamics of the forced Duffing oscillator which are relevant...
In this work we consider the nonlinear equivalent representation form of oscillators that exhibit no...
The primary resonance response of an asymmetric Duffing oscillator with no linear stiffness term and...
The primary resonance response of a non-linear oscillatory system that is excited by both a constant...
This article collects recent results concerning the behavior at resonance of forced oscillators driv...
. This work is concerned with Duffing-type oscillators that have an amplitude-independent frequency/...
In this study, a novel analytical solution to the integrable undamping Duffing equation with constan...
The effect of a strictly dissipative force (velocity to the pth power model) on the response and bif...
In this paper, simple approximate non-dimensional expressions, and the corresponding displacement am...
Starting from the observation that classical asymptotic methods fail to correctly describe the reson...
Starting from the observation that classical asymptotic methods fail to correctly describe the reson...
Starting from the observation that classical asymptotic methods fail to correctly describe the reson...
This paper investigates the steady-state periodic motion in the excited and damped one-degree-of-fre...
The nonlinear dynamics of a Duffing-van der Pol oscillator under linear-plus-nonlinear state feedbac...
ABSTRACT The Duffing oscillator is well-known models of nonlinear system, with applications in many ...
We address two aspects of the dynamics of the forced Duffing oscillator which are relevant...
In this work we consider the nonlinear equivalent representation form of oscillators that exhibit no...
The primary resonance response of an asymmetric Duffing oscillator with no linear stiffness term and...
The primary resonance response of a non-linear oscillatory system that is excited by both a constant...
This article collects recent results concerning the behavior at resonance of forced oscillators driv...
. This work is concerned with Duffing-type oscillators that have an amplitude-independent frequency/...
In this study, a novel analytical solution to the integrable undamping Duffing equation with constan...
The effect of a strictly dissipative force (velocity to the pth power model) on the response and bif...
In this paper, simple approximate non-dimensional expressions, and the corresponding displacement am...
Starting from the observation that classical asymptotic methods fail to correctly describe the reson...
Starting from the observation that classical asymptotic methods fail to correctly describe the reson...
Starting from the observation that classical asymptotic methods fail to correctly describe the reson...
This paper investigates the steady-state periodic motion in the excited and damped one-degree-of-fre...
The nonlinear dynamics of a Duffing-van der Pol oscillator under linear-plus-nonlinear state feedbac...
ABSTRACT The Duffing oscillator is well-known models of nonlinear system, with applications in many ...
We address two aspects of the dynamics of the forced Duffing oscillator which are relevant...
In this work we consider the nonlinear equivalent representation form of oscillators that exhibit no...