Approximating Frequencies of Tall Buildings
Publication: Journal of Structural Engineering
Volume 139, Issue 2
Abstract
A Rayleigh quotient is developed to calculate estimates of the fundamental frequencies of tall slender buildings. The quotient provides simple analytical frequency estimates that agree well with results reported using a more detailed beam model and finite-element analyses. It is also shown that the fundamental frequency varies inversely with the height of the building being modeled, and that the additional stiffening provided by one model of an outrigger appears not to appreciably alter the fundamental frequency.
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Acknowledgments
I gratefully acknowledge the helpful comments by my longtime colleague and collaborator, Emeritus Professor Harry E. Williams of Harvey Mudd College.
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 139 • Issue 2 • February 2013
Pages: 288 - 293
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Sep 27, 2011
Accepted: May 18, 2012
Published online: May 31, 2012
Published in print: Feb 1, 2013
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