...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...

... from the SSDI. In the SSDI, the inductance and the inherent capacitance of the piezoelectric element comprise a resonance circuit and the voltage or the current in the circuit satisfies a second-order equation ( 3 11 ). Electrical oscillation occurs in the circuit if the circuit is not opened again...

... 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...

... sweeps with either sinusoidal or narrow-band noise as the excitation. Both the primary resonance and the superharmonic resonances were considered. 22 05 2009 02 12 2009 17 03 2010 17 03 2010 energy harvesting magnets oscillators vibrations Many existing vibration...

...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...

... , “ Periodic Motion and Grazing in a Harmonically Forced, Piecewise, Linear Oscillator with Impacts ,” Chaos, Solitons Fractals 0960-0779 10.1016/j.chaos.2004.09.028 , 24 , pp. 567 – 578 . Luo , A. C. J. , and Chen , L. D. , 2005 , “ The Grazing Mechanism of the Strange Attractor...

...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...