Accurate solutions and stability criterion for periodic oscillations in hysteretic systems

DOI10.1007/BF01556435zbMath0716.70027MaRDI QIDQ753522

Danilo Capecchi

Publication date: 1990

Published in: Meccanica (Search for Journal in Brave)

zbMATH Keywords

Floquet theoryharmonic balance methodfrequency responseperiodic responsehysteretic oscillatorsnonlinear elastic oscillators

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Forced motions in linear vibration theory (70J35) Stability for problems in linear vibration theory (70J25)

Related Items (5)

Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation ⋮ Periodic oscillations and attracting basins for a parametrically excited pendulum ⋮ Prediction of bifurcations and chaos for an asymmetric elastic oscillator ⋮ Periodic response and stability of hysteretic oscillators ⋮ On choosing state variables for piecewise-smooth dynamical system simulations

Cites Work

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• Periodic response of a class of hysteretic oscillators
• 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
• On the transition from regular to chaotic behaviour in the Duffing oscillator
• Dynamic analysis of yielding and hysteretic systems by polynomial approximation
• Forced vibration of the damped bilinear hysteretic oscillator
• The Steady-State Response of a Two-Degree-of-Freedom Bilinear Hysteretic System

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