Dynamic Response of Cantilevers with Attached Masses
- 1 October 1975
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of the Engineering Mechanics Division
- Vol. 101 (5) , 695-706
- https://doi.org/10.1061/jmcea3.0002060
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.Keywords
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