Modified Sturm Sequence Property for Damped Systems
Publication: Journal of Engineering Mechanics
Volume 132, Issue 7
Abstract
This technical note presents a method of checking the number of complex eigenvalues in some interested regions or the multiplicity of some complex eigenvalues for nonproportionally damped system. A Schur–Cohn matrix is constructed from the coefficients of the characteristic polynomial for the damped system, and factorized using some standard numerical algorithms. By observing signs of the diagonal elements of the above diagonal matrix , we can determine the number of complex eigenvalues in some interested regions or the multiplicity of some complex eigenvalues, which is very similar to the well-known Sturm sequence property for undamped systems. To verify the applicability of the proposed method, two numerical examples are considered.
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Acknowledgment
This research was supported by the National Research Labora-tory for Aseismic Control of Structures. The support is deeply appreciated.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 7 • July 2006
Pages: 785 - 789
Copyright
© 2006 ASCE.
History
Received: Jan 16, 2002
Accepted: Jun 28, 2005
Published online: Jul 1, 2006
Published in print: Jul 2006
Notes
Note. Associate Editor: Nicos Makris
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