Stability Analysis of Periodic Orbits in a Class of Duffing-Like Piecewise Linear Vibrators

Author: El Aroudi A.  

Publisher: Edp Sciences

E-ISSN: 2261-236x|16|issue|08001-08001

ISSN: 2261-236x

Source: MATEC Web of conference, Vol.16, Iss.issue, 2014-09, pp. : 08001-08001

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Abstract

In this paper, we study the dynamical behavior of a Duffing-like piecewise linear (PWL) springmass-damper system for vibration-based energy harvesting applications. First, we present a continuous time single degree of freedom PWL dynamical model of the system. From this PWL model, numerical simulations are carried out by computing frequency response and bifurcation diagram under a deterministic harmonic excitation for different sets of system parameter values. Stability analysis is performed using Floquet theory combined with Fillipov method.