Steady‐State Oscillation of Hysteretic Differential Model. I: Response Analysis
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Volume 120, Issue 11
Abstract
This study considers the periodic forced vibration of nonlinear hysteretic system. Multiharmonic steady‐state responses of a general hysteretic system adopting the Bouc‐Wen differential model, subjected to arbitrary periodic excitation, are analyzed by the Galerkin/Levenberg‐Marquardt method. The frequency/ time domain alternation and the fast Fourier transform (FFT) techniques are introduced in this frequency domain solution procedure. The frequency‐controlled and amplitude‐controlled algorithms are simultaneously formulated to obtain complete, probably multivalued, frequency response curves. This approach gives possible harmonic, superharmonic, and subharmonic responses of the Bouc‐Wen hysteretic system. The response characteristics of softening, hardening, and quasilinear hysteretic systems are studied through numerical computations. The proposed procedure is also extended to analyze the periodic vibration of degrading hysteretic system with amplitude‐dependent stiffness deterioration. In addition, a verification is given by comparing with the results obtained by a numerical integration procedure.
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Published In
Journal of Engineering Mechanics
Volume 120 • Issue 11 • November 1994
Pages: 2271 - 2298
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jul 1, 1992
Published online: Nov 1, 1994
Published in print: Nov 1994
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