Research Article
Oct 1975
Dynamic Response of Cantilevers with Attached Masses
Publication: Journal of the Engineering Mechanics Division
Volume 101, Issue 5
Abstract
Using generalized functions, the frequency equation for free vibrations of a cantilever beam-column having rotational and translational springs at its support, and carrying concentrated masses, is established in matrix form and is evaluated numerically. The effect of rotatory inertia of the concentrated masses is also included. Moreover, a procedure for establishing the mode shapes is presented. Finally, the differential equation for the modal amplitudes of forced motion is established.
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Published In
Journal of the Engineering Mechanics Division
Volume 101 • Issue 5 • October 1975
Pages: 695 - 706
Copyright
© 1975 American Society of Civil Engineers.
History
Published in print: Oct 1975
Published online: Feb 3, 2021
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Authors
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Anthony N. Kounadis, M.ASCE
Assoc. Prof., National Technical Univ. of Athens, Athens, Greece
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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.