...M. Akbarzade; J. Langari; D. D. Ganji In this paper, two novel and different methods are applied to nonlinear oscillators. It has been found that the coupled method of homotopy perturbation method and variational formulation and amplitude-frequency formulation work very well for the whole range...

.... In other cases, the SSDNC is also more effective than the SSDI, although not significantly. 10 12 2009 31 08 2010 12 04 2011 12 04 2011 capacitance circuit resonance circuit switching damping inductance network analysis oscillators piezoelectric devices synchronisation...

... typically employ a linear oscillator for this purpose, limiting peak harvesting performance to a narrow band of frequencies about the resonant frequency of the oscillator. Herein, in an effort to maximize performance over the broader band of frequency content typically observed in ambient vibration...

... oscillators springs (mechanical) vibrations In this work, we investigate the dynamics of chains of masses connected by springs with nonmonotonic spring forces. The work is motivated by the work of Balk et al. ( 1 2 ) and in related work in Refs. 3 4 5 6 . In Refs. 1 2 , the authors used...

... or torsional spring, grounded translational or torsional viscous damper, and an undamped or damped oscillator with or without a rigid body degree of freedom. Using the proposed approach, each lumped element is first replaced by the load, either a force or moment, that it exerts on the linear structure, thus...

... frequency was relatively high, the drift of the accelerometer signal across one oscillation was negligible and so the position and velocity information obtained was reasonably accurate. When the harvester was excited with narrow-band random forcing (and so the response was no longer periodic...

...Sifiso Nhleko Due to its application in various dynamic systems, the free vibration behavior of a single-degree-of-freedom (SDoF) oscillator system with nonperiodic time-varying parameters has been the subject of recent interest. When dealing with this subject, past investigators have often...

...N. G. Stephen Eigenvalue veering is studied in the context of two simple oscillators coupled by a (presumed weak) spring, variants of which have been considered by several authors. The concept of a center of veering is introduced, leading to a coordinate translation; a subsequent coordinate...

... the stationary response probability density of strongly nonlinear oscillators under combined harmonic and wide-band noise excitations. By using generalized harmonic functions, a new stochastic averaging procedure for estimating stationary response probability density of strongly nonlinear oscillators under...

...J. C. Chedjou; K. Kyamakya; W. Mathis; I. Moussa; A. Fomethe; V. A. Fono This paper investigates synchronization transitions in a system of coupled Rössler type nonidentical self-sustained chaotic oscillators. The interest in Rössler oscillators is due to their chaotic behavior at very high...

... systems bifurcation gears power transmission (mechanical) oscillators oscillations To model vibrations in gear transmission systems, recently, Luo and Chen ( 1 ) investigated the simplest periodic motion of the piecewise linear, impacting system under a periodical excitation...

...Albert C. J. Luo; Brandon C. Gegg In this paper, the dynamics mechanism of stick and nonstick motion for a dry-friction oscillator is discussed. From the theory of Luo in 2005 [Commun. Nonlinear Sci. Numer. Simul., 10, pp. 1–55 ], the conditions for stick and nonstick motions are achieved...

...Jeffrey F. Rhoads; Steven W. Shaw; Kimberly L. Turner; Rajashree Baskaran Background: This paper describes an analytical study of a bandpass filter that is based on the dynamic response of electrostatically-driven MEMS oscillators. Method of Approach: Unlike most mechanical and electrical filters...

...A. V. Pesterev; L. A. Bergman The problem of calculating the dynamic response of a one-dimensional distributed parameter system excited by an oscillator traversing the system with an arbitrarily varying speed is investigated. An improved series representation for the solution is derived that takes...