Comparative study of evolutionary algorithms for parameter identification of an impact oscillator

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

Abstract

The use of non-classical evolutionary optimization techniques such as genetic algorithms, differential evolution, swarm optimization and genetic programming to solve the inverse problem of parameter identification of dynamical systems leading to chaotic states has been gaining popularity in recent years. In this paper, three popular evolutionary algorithms-differential evolution, particle swarm optimization and the firefly algorithm are used for parameter identification of a clearance-coupled-impact oscillator system. The behavior of impacting systems is highly nonlinear exhibiting a myriad of harmonic, low order and high order sub-harmonic resonances, as well as chaotic vibrations. The time-history simulations of the single-degree-of-freedom impact oscillator were obtained by the Neumark-b numerical integration algorithm. The results are illustrated by bifurcation graphs, state space portraits and Poincare' maps which gives valuable insights on the dynamics of the impact system. The parameter identification problem relates to finding one set of system parameters given a chaotic or periodic system response as a set of Poincaré points and a different but known set of system parameters. The three evolutionary algorithms are compared over a set of parameter identification problems. The algorithms are compared based on solution quality to evaluate the efficacy of using one algorithm over another.

Original languageEnglish (US)
Title of host publicationDynamics, Vibration, and Control
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791846476
DOIs
StatePublished - Jan 1 2014
EventASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014 - Montreal, Canada
Duration: Nov 14 2014Nov 20 2014

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume4A

Other

OtherASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014
CountryCanada
CityMontreal
Period11/14/1411/20/14

Fingerprint

Evolutionary algorithms
Identification (control systems)
Bifurcation (mathematics)
Genetic programming
Chaotic systems
Time varying systems
Inverse problems
Particle swarm optimization (PSO)
Vibrations (mechanical)
Dynamical systems
Genetic algorithms

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

Banerjee, A., & Abu-Mahfouz, I. (2014). Comparative study of evolutionary algorithms for parameter identification of an impact oscillator. In Dynamics, Vibration, and Control (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 4A). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2014-38855
Banerjee, Amit ; Abu-Mahfouz, Issam. / Comparative study of evolutionary algorithms for parameter identification of an impact oscillator. Dynamics, Vibration, and Control. American Society of Mechanical Engineers (ASME), 2014. (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)).
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Banerjee, A & Abu-Mahfouz, I 2014, Comparative study of evolutionary algorithms for parameter identification of an impact oscillator. in Dynamics, Vibration, and Control. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 4A, American Society of Mechanical Engineers (ASME), ASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014, Montreal, Canada, 11/14/14. https://doi.org/10.1115/IMECE2014-38855

Comparative study of evolutionary algorithms for parameter identification of an impact oscillator. / Banerjee, Amit; Abu-Mahfouz, Issam.

Dynamics, Vibration, and Control. American Society of Mechanical Engineers (ASME), 2014. (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 4A).

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

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Banerjee A, Abu-Mahfouz I. Comparative study of evolutionary algorithms for parameter identification of an impact oscillator. In Dynamics, Vibration, and Control. American Society of Mechanical Engineers (ASME). 2014. (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)). https://doi.org/10.1115/IMECE2014-38855