Technical Brief

Vibrations of Completely Free Rounded Rectangular Plates

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

Departments of Mathematics and
Mechanical Engineering,
Michigan State University,
East Lansing, MI 48824
e-mail: cywang@mth.msu.edu

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received February 12, 2013; final manuscript received November 13, 2014; published online January 20, 2015. Assoc. Editor: Olivier A. Bauchau.

J. Vib. Acoust 137(2), 024502 (Apr 01, 2015) (5 pages) Paper No: VIB-13-1049; doi: 10.1115/1.4029159 History: Received February 12, 2013; Revised November 13, 2014; Online January 20, 2015

The natural vibration of rectangular plates with rounded corners is studied by using a family of homotopy shapes and an efficient Ritz method.

Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Fig. 1

The rounded rectangular plate. The width is 2L and the height is 2bL. From outside: α = 0, 0.01, 0.05, 0.15, 0.3, 0.6, and 1.

Grahic Jump Location
Fig. 2

First five mode shapes for b = 0.7. Lowest (fundamental) modes are on top. From left: ellipse (α = 1), rounded rectangle (α = 0.15), and rectangle (α = 0). Note the switching of modes.




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