0
Research Papers

Polar Orthotropic Inhomogeneous Circular Plates: Vibration Tailoring

[+] Author and Article Information
Demetris Pentaras1

Department of Mechanical Engineering, Florida Atlantic University, Boca Raton, FL 33431-0991dpentara@fau.edu

Isaac Elishakoff

Department of Mechanical Engineering, Florida Atlantic University, Boca Raton, FL 33431-0991elishako@fau.edu

1

Corresponding author.

J. Appl. Mech 77(3), 031019 (Mar 05, 2010) (9 pages) doi:10.1115/1.4000410 History: Received May 22, 2008; Revised July 17, 2009; Published March 05, 2010; Online March 05, 2010

Problem of matching a desired fundamental natural frequency is solved in the closed form for the polar-orthotropic inhomogeneous circular plate, which is clamped along its circumference. The vibration tailoring is performed by posing a semi-inverse eigenvalue problem. To do this, the fundamental mode shape is postulated. Namely, the analytical expression due to Lekhnitskii, and pertaining to the static deflection of the homogeneous circular plate is demanded to serve as an exact mode shape of the inhomogeneous plate. The analytical and numerical results are reported for several ratios of orthotropic coefficient.

FIGURES IN THIS ARTICLE
<>
Copyright © 2010 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 10

Variation in Dr(r) and Dθ(r) versus radial coordinate r for Eq. 83

Grahic Jump Location
Figure 9

Variation in Dr(r) and Dθ(r) versus radial coordinate r for Eq. 82

Grahic Jump Location
Figure 8

Variation in D(r) versus nondimensional radial coordinate r/R for k=10 and νr=0.9338

Grahic Jump Location
Figure 7

Variation in D(r) versus nondimensional radial coordinate r/R for k=7

Grahic Jump Location
Figure 6

Variation in D(r) versus nondimensional radial coordinate r/R for k=6 and νr=0.3644

Grahic Jump Location
Figure 5

Variation in D(r) versus nondimensional radial coordinate r/R for k=4 and νr=1/32

Grahic Jump Location
Figure 4

Variation in D(r) versus nondimensional radial coordinate r/R for k=6

Grahic Jump Location
Figure 3

Variation in D(r) versus nondimensional radial coordinate r/R for k=5 and νr=0.4431

Grahic Jump Location
Figure 2

Variation in D(r) versus nondimensional radial coordinate r/R for k=4 and νr=0.1080

Grahic Jump Location
Figure 1

Variation in D(r) versus nondimensional radial coordinate r/R for various values of k and νr=0.35

Tables

Errata

Discussions

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