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Analysis of the convergence properties of Rubenstein's method for the determination of the lower modes of vibration of a multi-degree of freedom system

O'Kelly, M. E. J. (1964) Analysis of the convergence properties of Rubenstein's method for the determination of the lower modes of vibration of a multi-degree of freedom system. Bulletin of the Seismological Society of America, 54 (6). pp. 1757-1766. ISSN 0037-1106. https://resolver.caltech.edu/CaltechAUTHORS:20140811-125617779

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Abstract

This paper analyzes the convergence properties of a method, recently proposed by Rubenstein, for the determination of the lower modes of vibration of a multi-degree of freedom system from a reduced eigenvalue problem. It is shown that under certain conditions the method converges to the exact eigenvalues. It does not have global convergence and hence some care must be exercised when using it.


Item Type:Article
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http://bssa.geoscienceworld.org/content/54/6A/1757.abstractPublisherArticle
Additional Information:Copyright © 1965, by the Seismological Society of America. Manuscript received July 10, 1964.
Issue or Number:6
Record Number:CaltechAUTHORS:20140811-125617779
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140811-125617779
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:48305
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:12 Aug 2014 15:08
Last Modified:03 Oct 2019 07:02

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