Eigen-Analysis of a Tip-Loaded Beam Attached to a Rotating Joint

[+] Author and Article Information
K. H. Low

School of Mechanical and Production Engineering, Nanyang Technological Institute, Nanyang Avenue, Singapore 2263, Republic of Singapore

J. Vib. Acoust 112(4), 497-500 (Oct 01, 1990) (4 pages) doi:10.1115/1.2930134 History: Received August 01, 1989; Revised November 01, 1989; Online June 17, 2008


In this paper, a method of eigen-analysis for a vibrating elastic system is presented. The model analyzed is a Bernoulli-Euler beam having a slender payload at the free end and being attached at the other end to a compliant, rotating hub. The system equations with the complete boundary conditions are derived. The corresponding frequency equation in a dimensionless form is solved by using the secant method. Agreement with other works not only verifies the accuracy of the results, but also demonstrates the generality of the model.

Copyright © 1990 by The American Society of Mechanical Engineers
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