Research Article
Mar 1973
Modal Analysis for Structures with Foundation Interaction
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VIEW THE REPLYAuthors: José M. Roesset, AM.ASCE, Robert V. Whitman, F.ASCE, and Ricardo Dobry, AM.ASCEAuthor Affiliations
Publication: Journal of the Structural Division
Volume 99, Issue 3
Abstract
In the dynamic analysis of structures including the effect of foundation flexibility, the soil is often represented by a horizontal and a rocking spring and associated dashpots. Damping in the different components of this system then varies greatly both in magnitude and nature. Because of the damping terms the resulting model will not have, in general, modes in the classical sense. While a rigorous solution is possible in the frequency domain through the use of Fourier transforms, modal analysis would offer definite advantages from a practical point of view. A rule is presented to apply modal analysis in an approximate way, assigning to each mode a weighted value of damping. Results obtained by application of this rule are compared to exact solutions in the frequency domain. For many cases of interest the error is small. It is also shown that, for these problems, the usual assumption of constant modal damping is not realistic.
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Published In
Journal of the Structural Division
Volume 99 • Issue 3 • March 1973
Pages: 399 - 416
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Mar 1973
Published online: Feb 1, 2021
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Authors
Affiliations
José M. Roesset, AM.ASCE
Assoc. Prof. of Civ. Engrg., Massachusetts Inst. of Tech., Cambridge, Mass.
Robert V. Whitman, F.ASCE
Prof. of Civ. Engrg. and Head of Structures Div., Dept. of Civ. Engrg., Massachusetts Inst. of Tech., Cambridge, Mass.
Ricardo Dobry, AM.ASCE
Prof. of Civ. Engrg., Universidad de Chile, Santiago, Chile.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.