Research Article
Aug 1969
Normal Modes of Uniform Beams
Authors: Tish-Chun Chang and Roy R. CraigAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 95, Issue 4
Abstract
The paper is devoted to the dynamics of building structures excited by-sinusoidal excitation. The analysis indicates that the complicated response curves found for higher modes of some structures are a result of the interference of lower modes of vibration. A procedure is developed which enables the resonant frequency, mode shape and modal damping of the second mode to be recovered from steady-state response data when interference is present from the fundamental mode. This is a condition that has occurred in tests, and the procedure is applied to the second mode response of the Millikan Library Building to illustrate the method. The damping in the second mode is found to be about 3.7% of critical. The analysis also is generalized to apply to the response of higher modes of vibration with interference from any number of lower modes.
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Published In
Journal of the Engineering Mechanics Division
Volume 95 • Issue 4 • August 1969
Pages: 1026 - 1030
Copyright
© 1969 American Society of Civil Engineers.
History
Published in print: Aug 1969
Published online: Feb 3, 2021
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Affiliations
Tish-Chun Chang
Research Assist., Dept. of Engrg. Mech., The Univ. of Texas at Austin, Austin Texas
Roy R. Craig
Assoc. Prof. of Aerospace Engrg., The Univ. of Texas at Austin, Austin, Texas
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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.