Vibrations of a Rectangular Plate With Concentrated Mass, Spring, and Dashpot

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

Department of Civil Engineering, University of Illinois, Urbana, Ill.

D. R. Navaratna

Department of Mechanical Engineering, Indian Institute of Technology, Kanpur, India

J. Appl. Mech 30(1), 31-36 (Mar 01, 1963) (6 pages) doi:10.1115/1.3630102 History: Received August 15, 1961; Online September 16, 2011


An analytical method, developed by Young [1], is here extended to the determination of the natural frequencies of a composite system which consists of an isotropic rectangular plate with a concentrated mass, spring, and dashpot attached at any point of the plate. This method makes use of a double series expansion in terms of two sets of orthogonal functions which represent the normal modes of the vibration of the plate alone. Numerical examples for a square plate with (a) a combined concentrated mass and spring, (b) two concentrated masses, and (c) an attached dashpot have been presented.

Copyright © 1963 by ASME
Your Session has timed out. Please sign back in to continue.





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