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Equivalent Linearization of Bouc–Wen Hysteretic Model with Harmonic Input

Chakraborty, G.

Abstract Equivalent linear stiffness and damping coefficient are calculated for the Bouc–Wen hysteretic model with the input as a harmonic function. Analytical estimates of these quantities are provided after constructing the hysteretic loops. For two cases, the hysteretic loops are found in closed form, and for the other cases limiting forms of the loops under high amplitude and low amplitude excitations are studied. Correct scaling laws for the equivalent parameters are derived analytically which are subsequently verified by numerical simulation.

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Equivalent Linearization of Bouc–Wen Hysteretic Model with Harmonic Input

Chakraborty, G.

Abstract Equivalent linear stiffness and damping coefficient are calculated for the Bouc–Wen hysteretic model with the input as a harmonic function. Analytical estimates of these quantities are provided after constructing the hysteretic loops. For two cases, the hysteretic loops are found in closed form, and for the other cases limiting forms of the loops under high amplitude and low amplitude excitations are studied. Correct scaling laws for the equivalent parameters are derived analytically which are subsequently verified by numerical simulation.

Equivalent Linearization of Bouc–Wen Hysteretic Model with Harmonic Input

Chakraborty, G.

Abstract Equivalent linear stiffness and damping coefficient are calculated for the Bouc–Wen hysteretic model with the input as a harmonic function. Analytical estimates of these quantities are provided after constructing the hysteretic loops. For two cases, the hysteretic loops are found in closed form, and for the other cases limiting forms of the loops under high amplitude and low amplitude excitations are studied. Correct scaling laws for the equivalent parameters are derived analytically which are subsequently verified by numerical simulation.

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Title:

Equivalent Linearization of Bouc–Wen Hysteretic Model with Harmonic Input

Contributors:

Chakraborty, G. (author)

Published in:

Journal of The Institution of Engineers (India): Series C ; 100 ; 907-918

Publication date:

2019-03-04

Size:

12 pages

ISSN:

2250-0553 , 2250-0545

DOI:

https://doi.org/10.1007/s40032-019-00506-0

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Bouc–Wen hysteresis model , Equivalent linearization , Harmonic balance method , Scaling laws Engineering , Aerospace Technology and Astronautics , Mechanical Engineering , Industrial and Production Engineering

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