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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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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