Free Vibration of Beams With Two Sections of Distributed Mass-Reference-Cited by-同舟云学术

Free Vibration of Beams With Two Sections of Distributed Mass

Published:1998-10-01 Issue:4 Volume:120 Page:944-948
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Chan Kwok-Tung¹,Wang Xiao-Quan¹,Leung Tin-Pui¹

Affiliation:

1. Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

Abstract

The equation of free transverse vibration of beams with two sections of partially distributed mass is derived and its exact solution has been obtained. Experimental data for a cantilever beam are given to verify the computational results. Using a cantilever beam as an example, some interesting features of changes of natural frequencies with mass length and position are described. The method is finally generalized for the case of beams with multiple spans of distributed mass.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/120/4/944/5825399/944_1.pdf

Reference9 articles.

1. Chan K. T. , LeungT. P., and WongW. O., 1996, “Free Vibration of Simply Supported Beams Partially Loaded with Distributed Mass,” Journal of Sound and Vibration, Vol. 191, No. 4, pp. 590–597.

2. Chan K. T. , and ZhangJ. Z., 1995, “Free Vibration of a Cantilever Tube Partially Filled with Liquid,” Journal of Sound and Vibration, Vol. 182, No. 2, pp. 185–190.

3. Chan, K. T., and Wang, X. Q., 1997, “Free Vibration of Timoshenko Beam Partially Loaded with Distributed Mass,” Journal of Sound and Vibration, revised version under review.

4. Chen, Y., 1963, “On the Vibration of Beams or Rods Carrying a Concentrated Mass,” ASME Journal of Applied Mechanics, June 1963, pp. 310–311.

5. Cranch, E. T., and Adler, A. A., 1956, “Bending Vibrations of Variable Section Beams,” ASME Journal of Applied Mechanics, March 1956, pp. 103–108.

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