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Technical Briefs

Vibration of a Segmented Heavy Column

[+] Author and Article Information
C. Y. Wang

Department of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, MI 48824cywang@mth.msu.edu

J. Vib. Acoust 132(2), 024503 (Mar 16, 2010) (4 pages) doi:10.1115/1.4000843 History: Received October 13, 2008; Revised February 13, 2009; Published March 16, 2010; Online March 16, 2010

The vibration of a standing (or hanging) segmented column, affected by its own weight, is studied. The governing difference equations are solved numerically. The results tend to those of the continuous column as the number of segments tends to infinity. For the finite number of segments, the linear relation between frequency squared and self weight does not hold as in the continuous case.

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Copyright © 2010 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

(a) The standing heavy segmented column. (b) Forces on a single segment.

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