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

A. El Aroudi, L. Benadero, H. Ouakad, M. Younis, M. Belhaq
2014 MATEC Web of Conferences  
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
more » ... sis is performed using Floquet theory combined with Fillipov method. This is an Open Access article distributed under the terms of the Creative Commons Attribution License 3.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
doi:10.1051/matecconf/20141608001 fatcat:bupqjoeeejdldpejrp45b4hezi