Frequency response investigations of multi-input multi-output nonlinear systems using automated symbolic harmonic balance method

DOI10.1007/S11071-010-9688-4zbMath1204.93081OpenAlexW2048722412MaRDI QIDQ623953

D. Akgün, Ị. Çankaya

Publication date: 8 February 2011

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

Full work available at URL: https://doi.org/10.1007/s11071-010-9688-4

zbMATH Keywords

harmonic balance methodfrequency responseMIMO nonlinear systems

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (3)

Irreducibility of an affine space in algebraic geometry over a group. ⋮ Rigid metabelian pro-\(p\)-groups. ⋮ Automorphisms of divisible rigid groups.

Cites Work

• Polyharmonic balance analysis of nonlinear ship roll response
• Chemical oscillations, waves, and turbulence
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• Resonant and coupled response of hysteretic two-degree-of-freedom systems using harmonic balance method
• Evaluation of output frequency responses of nonlinear systems under multiple inputs
• HARMONIC OSCILLATIONS, STABILITY AND CHAOS CONTROL IN A NON-LINEAR ELECTROMECHANICAL SYSTEM
• A split-frequency harmonic balance method for nonlinear oscillators with multi-harmonic forcing
• Generalized frequency response function matrix for MIMO non-linear systems
• 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
• Generalized frequency response functions and output response synthesis for MIMO non-linear systems

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