Efficient Approximate Eigensolution for Structures Equipped with a Passive Damping Device
Publication: Journal of Structural Engineering
Volume 144, Issue 5
Abstract
This article presents an approximate method for the complex eigensolution of nonclassically damped linear systems representing a structure equipped with a passive damping device. The proposed algorithm does not require the standard state-space formulation and is computationally efficient compared to the existing methods. The complex eigenvalues are determined using an approximate solution of the characteristic equation based on a combination of perturbation and incremental approaches. The complex eigenmodes are subsequently calculated with the use of the obtained eigenvalues from eigenvectors of a significantly reduced eigenproblem defined in modal coordinates. The accuracy of the proposed method is demonstrated through numerical studies on a television tower.
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Acknowledgments
The kind support of the Czech Science Foundation Project Nos. 15-01035S and 17-26353J and of the RVO 68378297 institutional support are gratefully acknowledged.
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Published In
Journal of Structural Engineering
Volume 144 • Issue 5 • May 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Mar 6, 2017
Accepted: Oct 23, 2017
Published online: Mar 13, 2018
Published in print: May 1, 2018
Discussion open until: Aug 13, 2018
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