In this paper, a unique technique “cost function” has been presented to simultaneously realize eigenvalues and mode shape vectors to attain a reduced model. Differential evolution algorithm has been utilized in order to numerically optimize the nonlinear cost function instead of the least squares solution of the characteristic equation of the system. The modal matrix is reduced by effective independence distribution vector (EIDV) method to remove the slave degrees of freedom and retain the master ones which have the most contribution in the system response. EIDV retains those degrees of freedom (DOFs) in such a way as to reserve the system information content, as much as possible. This procedure has been verified with some examples and good results have been obtained. It is shown that the algorithm has several advantages, e.g., the coupling between selected modes of full-order model will be attained to guarantee the stability of closed-loop system.
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e-mail: bfariborzi@yahoo.com
e-mail: r.bighamian@me.iut.ac.ir
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January 2012
Technical Briefs
Model-Order Reduction by Simultaneous Realization of Eigenvalues and Mode Shapes (SREM)
Fariborz Fariborzi,
Fariborz Fariborzi
Assistant Professor
Mechanical Engineering Department,
e-mail: bfariborzi@yahoo.com
Shahrood University of Technology
, Semnan 3619995161, Iran
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Ramin Bighamian,
Ramin Bighamian
Graduate Student
Department of Mechanical Engineering,
e-mail: r.bighamian@me.iut.ac.ir
Isfahan University of Technology
, Isfahan 8415683111, Iran
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Hamid Reza Mirdamadi
Hamid Reza Mirdamadi
Assistant Professor
Department of Mechanical Engineering,
e-mail: hrmirdamadi@cc.iut.ac.ir
Isfahan University of Technology
, Isfahan 8415683111, Iran
Search for other works by this author on:
Fariborz Fariborzi
Assistant Professor
Mechanical Engineering Department,
Shahrood University of Technology
, Semnan 3619995161, Iran
e-mail: bfariborzi@yahoo.com
Ramin Bighamian
Graduate Student
Department of Mechanical Engineering,
Isfahan University of Technology
, Isfahan 8415683111, Iran
e-mail: r.bighamian@me.iut.ac.ir
Hamid Reza Mirdamadi
Assistant Professor
Department of Mechanical Engineering,
Isfahan University of Technology
, Isfahan 8415683111, Iran
e-mail: hrmirdamadi@cc.iut.ac.ir
J. Dyn. Sys., Meas., Control. Jan 2012, 134(1): 014502 (5 pages)
Published Online: December 5, 2011
Article history
Revised:
January 3, 2010
Received:
June 15, 2010
Accepted:
March 1, 2011
Online:
December 5, 2011
Published:
December 5, 2011
Citation
Fariborzi, F., Bighamian, R., and Mirdamadi, H. R. (December 5, 2011). "Model-Order Reduction by Simultaneous Realization of Eigenvalues and Mode Shapes (SREM)." ASME. J. Dyn. Sys., Meas., Control. January 2012; 134(1): 014502. https://doi.org/10.1115/1.4004573
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