Periodic response and stability of hysteretic oscillators

DOI10.1080/02681119108806110zbMath0731.34031OpenAlexW2067103739MaRDI QIDQ3356674

Danilo Capecchi

Publication date: 1991

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119108806110

zbMATH Keywords

Floquet theorynonlinear ordinary differential equationharmonic balance methodkinematic hardeningchaotic motionsfrequency-response curveshysteretic systemsstability behaviour

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (3)

Periodic oscillations and attracting basins for a parametrically excited pendulum ⋮ Sustained rotation in a vibrated disk with asymmetric supports ⋮ Reduced phase space analysis for hysteretic oscillators of Masing type.

Cites Work

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• Periodic response of a class of hysteretic oscillators
• Accurate solutions and stability criterion for periodic oscillations in hysteretic systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Fast Galerkin method and its application to determine periodic solutions of nonlinear oscillators
• Numerical computation of nonlinear forced oscillations by Galerkin's procedure
• An intrinsic method of harmonic analysis for non-linear oscillations (a perturbation technique)
• Dynamic analysis of yielding and hysteretic systems by polynomial approximation
• Forced vibration of the damped bilinear hysteretic oscillator
• A generalization of the method of harmonic balance

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