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

A. El Aroudi; L. Benadero; H. Ouakad; Mohammad I. Younis

doi:10.1051/matecconf/20141608001

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

A. El Aroudi, L. Benadero, H. Ouakad, Mohammad I. Younis

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	MATEC Web of Conferences
Publisher	EDP Sciences
Pages	08001
ISBN (Print)	9782759816590
DOIs	https://doi.org/10.1051/matecconf/20141608001
State	Published - Sep 1 2014

Access to Document

10.1051/matecconf/20141608001

https://repository.kaust.edu.sa/bitstream/10754/336411/1/matecconf_csndd2014_08001.pdf

Cite this

@inproceedings{a2cc1700c531468dba69898ef52d7206,

title = "Stability Analysis of Periodic Orbits in a Class of Duffing-Like Piecewise Linear Vibrators",

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.",

author = "{El Aroudi}, A. and L. Benadero and H. Ouakad and Younis, {Mohammad I.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was partially supported by the Ministerio de Ciencia e Innovaci{\'o}n under grant CSD2009-00046.",

year = "2014",

month = sep,

day = "1",

doi = "10.1051/matecconf/20141608001",

language = "English (US)",

isbn = "9782759816590",

pages = "08001",

booktitle = "MATEC Web of Conferences",

publisher = "EDP Sciences",

}

TY - GEN

T1 - Stability Analysis of Periodic Orbits in a Class of Duffing-Like Piecewise Linear Vibrators

AU - El Aroudi, A.

AU - Benadero, L.

AU - Ouakad, H.

AU - Younis, Mohammad I.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was partially supported by the Ministerio de Ciencia e Innovación under grant CSD2009-00046.

PY - 2014/9/1

Y1 - 2014/9/1

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/336411

UR - http://www.matec-conferences.org/10.1051/matecconf/20141608001

UR - http://www.scopus.com/inward/record.url?scp=84907494275&partnerID=8YFLogxK

U2 - 10.1051/matecconf/20141608001

DO - 10.1051/matecconf/20141608001

M3 - Conference contribution

SN - 9782759816590

SP - 08001

BT - MATEC Web of Conferences

PB - EDP Sciences

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this