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A Novel Perturbative Iteration Algorithm for Effective and Efficient Solution of Frequency-Dependent Eigenvalue Problems

Published online by Cambridge University Press:  03 June 2015

Rongming Lin
Rongming Lin*
Affiliation:
School of Mechanical and Aerospace Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore
*
Corresponding author. URL:http://research.ntu.edu.sg/expertise/academicprofile/pages/StaffProfile.aspx?ST_EMAILID=MRMLIN, Email: mrmlin@ntu.edu.sg
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Abstract

Many engineering structures exhibit frequency dependent characteristics and analyses of these structures lead to frequency dependent eigenvalue problems. This paper presents a novel perturbative iteration (PI) algorithm which can be used to effectively and efficiently solve frequency dependent eigenvalue problems of general frequency dependent systems. Mathematical formulations of the proposed method are developed and based on these formulations, a computer algorithm is devised. Extensive numerical case examples are given to demonstrate the practicality of the proposed method. When all modes are included, the method is exact and when only a subset of modes are used, very accurate results are obtained.

Keywords

34L1534L1635P1535P30Frequency dependent eigenvalue problemstructural vibrationcomputer algorithmdamped structural vibrationperturbative iterationeigenvalue and eigenvector sensitivity
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 3 , June 2012 , pp. 325 - 339
Copyright
Copyright © Global-Science Press 2012

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