Calculation of eigenpair derivatives for asymmetric damped systems with distinct and repeated eigenvalues. (26th March 2015)

• Record Type: Journal Article
• Authors: Wang, Pingxin; Dai, Hua
• Is Part Of: International journal for numerical methods in engineering. Volume 103:Number 7(2015)
• Page Start: 501
• Page End: 515
• Publication Date: 2015-03-26
• Subjects: Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.4901
• Languages: English
• ISSNs: 0029-5981

Abstract

<abstract abstract-type="main" id="nme4901-abs-0001"> <title>Summary</title> <p id="nme4901-para-0001">An algorithm is derived for the computation of eigenpair derivatives of asymmetric quadratic eigenvalue problem with distinct and repeated eigenvalues. In the proposed method, the eigenvector derivatives of the damped systems are divided into a particular solution and a homogeneous solution. By introducing an additional normalization condition, we construct two extended systems of linear equations with nonsingular coefficient matrices to calculate the particular solution. The method is numerically stable, and the homogeneous solutions are computed by the second‐order derivatives of the eigenequations. Two numerical examples are used to illustrate the validity of the proposed method. Copyright © 2015 John Wiley &amp; Sons, Ltd.</p> </abstract>