Journal of University of Chinese Academy of Sciences >
Numerical decoupling of quadratic system
Received date: 2009-01-04
Revised date: 2009-04-07
Online published: 2009-07-15
In numerical algebra field, the quadratic system decoupling is researched by preserving Lancaster structure, but it is difficult to find decoupling transformations, which involves the solution of nonlinear equations. A new method of numerical decoupling of quadratic system is proposed in this paper. The decoupled system is identified by the isospectrality of systems, and the nonlinear problem to solve decoupling transformations is converted to the solution of Sylvester equation. The decoupling transformations are given based on the Kronecker product knowledge of matrixes. The method is shown to be feasible by numerical experiments, and it supplies a new point for quadratic system decoupling research.
WANG Shu-Juan , SHEN Ji-Hong . Numerical decoupling of quadratic system[J]. Journal of University of Chinese Academy of Sciences, 2009 , 26(4) : 438 -442 . DOI: 10.7523/j.issn.2095-6134.2009.4.002
[1] Garvey S D, Friswell M I, Prells U. Co-ordinate trans formations for second order systems, I: general transformations
[J]. Journal of Sound and Vibration, 2002, 258: 885-909.
[2] Garvey S D, Friswell M I, Prells U. Co-ordinate transfor mations for second order systems, II: elementary structure-preserving transform ations
[J]. Journal of Sound and Vibration, 2002, 258: 911-930.
[3] Chu M T, Buono N D. Total decoupling of a general quadratic pe ncil, part I: theory
[J]. Journal of Sound and Vibration, 2008, 309: 96-111.
[4] Chu M T, Buono N D, Total decoupling of a general quadratic pe ncil, part II: structure preserving isospectral flows
[J]. Journal of Sound and Vibration, 2008, 309: 112-128.
/
| 〈 |
|
〉 |