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Mathematical Problems in Engineering
Volume 2015, Article ID 582192, 10 pages
Research Article

Effect of Dead Load on Dynamic Characteristics of Rotating Timoshenko Beams

1State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an 710049, China
2Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong

Received 22 May 2015; Revised 13 August 2015; Accepted 16 August 2015

Academic Editor: Paolo Maria Mariano

Copyright © 2015 Yan-Qi Yin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The dynamic characteristics of a rotating cantilever Timoshenko beam under dead load are investigated in this paper. Considering the predeformation caused by dead load and centrifugal force, governing equation of rotating cantilever Timoshenko beam is derived based on Hamilton’s principle, and the influence of the load on natural vibration is revealed. A suit of modal experimental apparatus for cantilever beam is designed and used to test the natural frequencies under the dead load, and the natural frequencies under rotation condition are calculated with a commercial finite element code. Both the experimental result and numerical result are utilized to compare with the present theoretical result, and the results obtained by present modeling method show a good agreement with those obtained from the experiment and finite element method. It is found that the natural frequencies of cantilever beam increase with both the dead load and the rotating speed.