Differential Transformation Approach for Free Vibration Analysis of a Centrifugally Stiffened Timoshenko Beam

[+] Author and Article Information
C. Mei

Department of Mechanical Engineering, The University of Michigan—Dearborn, 4901 Evergreen Road, Dearborn, MI 48128cmei@umich.edu

J. Vib. Acoust 128(2), 170-175 (Dec 02, 2005) (6 pages) doi:10.1115/1.2172260 History: Received January 19, 2005; Revised December 02, 2005

In this paper, the differential transformation approach is applied to analyze the free vibration of centrifugally stiffened Timoshenko beam structures. Such structures involve variable coefficients in the governing equations, which in general cannot be solved analytically in closed form. Both the natural frequencies and the mode shapes are obtained using the differential transformation technique. Numerical examples are presented and results are compared with available results in the literature.

Copyright © 2006 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Figure 1

A cantilevered rotating beam

Grahic Jump Location
Figure 2

Convergence of the first three modes listed in Table 1 at various dimensionless rotation speed, (a) p=0; (b) p=4; (c) p=8

Grahic Jump Location
Figure 3

Mode shapes of the first three modes corresponding to varying dimensionless rotation speed p: p=0 (—), p=4(-∙-∙-∙), and p=8(⋯)

Grahic Jump Location
Figure 4

Mode shapes of the first three modes corresponding to varying dimensionless hub offset α:α=0 (—), α=1(-∙-∙-∙), and α=2(⋯)



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In