Stability of Elastically Restrained Timoshenko Cantilevers With Attached Masses Subjected to a Follower Force

[+] Author and Article Information
A. N. Kounadis

School of Engineering Science and Mechanics, Georgia Institute of Technology, Atlanta, Ga.

J. Appl. Mech 44(4), 731-736 (Dec 01, 1977) (6 pages) doi:10.1115/1.3424164 History: Received November 01, 1976; Revised March 01, 1977; Online July 12, 2010


In this investigation, the individual and primarily the coupling effects on the critical load are assessed for a variety of parameters, such as elastic spring supports, concentrated masses (positioning, translational, and rotational inertia) as well as transverse shear deformation and rotatory inertia of the column. The problem, in its most general form, is reduced to a system of two-coupled partial-differential equations subject to the appropriate boundary conditions. A solution methodology is developed and successfully demonstrated through numerous examples.

Copyright © 1977 by ASME
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