Dynamic Response of a Spinning Timoshenko Beam With General Boundary Conditions and Subjected to a Moving Load

[+] Author and Article Information
J. W.-Z. Zu, R. P. S. Han

Department of Mechanical and Industrial Engineering, University of Manitoba, Winnipeg, Manitoba, R3T 2N2 Canada

J. Appl. Mech 61(1), 152-160 (Mar 01, 1994) (9 pages) doi:10.1115/1.2901390 History: Received December 16, 1991; Revised March 08, 1993; Online March 31, 2008


The dynamic response of a spinning Timoshenko beam with general boundary conditions and subjected to a moving load is solved analytically for the first time. Solution of the problem is achieved by formulating the spinning Timoshenko beams as a non-self-adjoint system. To compute the system dynamic response using the modal analysis technique, it is necessary to determine the eigenquantities of both the original and adjoint systems. In order to fix the adjoint eigenvectors relative to the eigenvectors of the original system, the biorthonormality conditions are invoked. Responses for the four classical boundary conditions which do not involve rigidbody motions are illustrated. To ensure the validity of the method, these results are compared with those from Euler-Bernoulli and Rayieigh beam theories. Numerical simulations are performed to study the influence of the four boundary conditions on selected system parameters.

Copyright © 1994 by The American Society of Mechanical Engineers
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