Stability analysis of periodic orbits in a class of duffing-like piecewise linear vibrators

A. El Aroudi, L. Benadero, H. Ouakad, M. Younis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationMATEC Web of Conferences
EditorsMohamed Belhaq
PublisherEDP Sciences
ISBN (Electronic)9782759816590
DOIs
Publication statusPublished - Sep 1 2014
Externally publishedYes
Event2nd International Conference on Structural Nonlinear Dynamics and Diagnosis, CSNDD 2014 - Agadir, Morocco
Duration: May 19 2014May 21 2014

Publication series

NameMATEC Web of Conferences
Volume16
ISSN (Electronic)2261-236X

Conference

Conference2nd International Conference on Structural Nonlinear Dynamics and Diagnosis, CSNDD 2014
CountryMorocco
CityAgadir
Period5/19/145/21/14

ASJC Scopus subject areas

  • Chemistry(all)
  • Materials Science(all)
  • Engineering(all)

Cite this

El Aroudi, A., Benadero, L., Ouakad, H., & Younis, M. (2014). Stability analysis of periodic orbits in a class of duffing-like piecewise linear vibrators. In M. Belhaq (Ed.), MATEC Web of Conferences [08001] (MATEC Web of Conferences; Vol. 16). EDP Sciences. https://doi.org/10.1051/matecconf/20141608001