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Research Papers

A Genetic Algorithms Method for Fitting the Generalized Bouc-Wen Model to Experimental Asymmetric Hysteretic Loops

[+] Author and Article Information
Tudor Sireteanu

 Institute of Solid Mechanics, Romanian Academy, 15 Constantin Mille, Bucharest RO-010141, Romaniasiret@imsar.bu.edu.ro

Marius Giuclea

 Institute of Solid Mechanics, Romanian Academy, 15 Constantin Mille, Bucharest RO-010141, Romania; Department of Mathematics, Bucharest Academy of Economic Studies, 6 Romana Square, Bucharest, RO-010374, Romaniamarius.giuclea@csie.ase.ro

Ana-Maria Mitu1

Gheorghe Ghita

 Institute of Solid Mechanics, Romanian Academy, 15 Constantin Mille, Bucharest RO-010141, Romania

1

Corresponding author.

J. Vib. Acoust 134(4), 041007 (May 31, 2012) (10 pages) doi:10.1115/1.4005845 History: Received April 20, 2011; Revised October 13, 2011; Published May 29, 2012; Online May 31, 2012

The Bouc-Wen class models are widely used to portray different types of hysteretic behavior. This paper presents an effective genetic algorithms-based method for fitting a generalized Bouc-Wen model, proposed by Song and Der Kiureghian [2006, “Generalized Bouc-Wen Model for Highly Asymmetric Hysteresis,” ASCE J. Eng. Mech., 132 (6), p. 610618], to highly asymmetric experimental hysteretic loops. The performance function is based on integral relationships derived from the generalized Bouc-Wen differential equation for each of the six different phases of asymmetric hysteretic loops. The conditions, which must be satisfied by the model parameters to obtain closed and smooth hysteretic loops, are specified. The method is applied to fit the generalized Bouc-Wen model to hysteretic loops, which are obtained in laboratory experiments for a new type of mounts used for base isolation of forging hammers. By using a single degree of freedom (SDOF) system with the predicted hysteretic characteristics, a remarkably close agreement between the measured and simulated vibrations of hammer was obtained.

Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Generic asymmetric hysteretic loop

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Figure 2

Hysteretic loop Φ(ξ) and the closed curve z(ξ)

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Figure 3

Comparative graph: simulated (light gray line) and predicted (dark gray line)

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Figure 4

Time histories of the model input (a)

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Figure 5

Steady state model output (a)

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Figure 6

Time histories of the model input (b)

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Figure 7

Time histories of the model output (b)

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Figure 8

Schematic of SERB device

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Figure 9

The new mounting system of hammer on the foundation block

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Figure 10

One-mass foundation model

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Figure 11

Experimental setup

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Figure 12

Time histories of the imposed displacement and the force developed by the device

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Figure 13

Experimental hysteretic loops and analytical approximation of the backbone curve

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Figure 14

Normalized hysteretic loops: experimental (dark gray line) and predicted (light gray line)

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Figure 15

Experimental (dark gray line) and predicted (light gray line) time histories of hammer acceleration

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Figure 16

(a) Times histories of acceleration recorded on anvil. (b) Times histories of acceleration recorded on foundation block.

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Figure 17

(a) Amplitude spectra of acceleration recorded on anvil. (b) Amplitude spectra of acceleration recorded on foundation block.

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