Recent advances and comparisons between harmonic balance and Volterra-based nonlinear frequency response analysis methods

DOI10.1007/s11071-017-3860-zzbMath1390.93554OpenAlexW2766173263MaRDI QIDQ1640179

J. C. Peyton Jones, K. S. A. Yaser

Publication date: 14 June 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-017-3860-z

zbMATH Keywords

automatic computationVolterraharmonic balancebenchmark analyses

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Frequency-response methods in control theory (93C80)

Cites Work

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• A HARMONIC PROBING ALGORITHM FOR THE MULTI-INPUT VOLTERRA SERIES
• HARMONIC BALANCE AND CONTINUATION TECHNIQUES IN THE DYNAMIC ANALYSIS OF DUFFING'S EQUATION
• An algebraic approach to nonlinear functional expansions
• Harmonic analysis of the vibrations of a cantilevered beam with a closing crack
• Practical frequency response analysis of non-linear time-delayed differential or difference equation models
• Automatic computation of polyharmonic balance equations for non-linear differential systems
• Output frequency response characteristics of nonlinear systems. Part II: overlapping effects and commensurate multi-tone excitations

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