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Technical Briefs

Vibration Tailoring of a Polar Orthotropic Circular Plate With a Translational Spring

[+] Author and Article Information
Isaac Elishakoff1

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

Demetris Pentaras

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

1

Corresponding author.

J. Appl. Mech 75(3), 034502 (Apr 04, 2008) (4 pages) doi:10.1115/1.2839896 History: Received October 05, 2006; Revised September 24, 2007; Published April 04, 2008

In this study, the vibration tailoring problem is analytically solved for the polar orthotropic circular plate with translational spring along its circumference. By using the semi-inverse method and postulating the mode shape as a polynomial, we derive a closed-form solution.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Variation of D(z) versus nondimensional radial coordinate z for k=1 and Poisson’s ratio νr=0.3 (--- β=10, -.- β=100, — β=1000)

Grahic Jump Location
Figure 2

Variation of Dr(z) versus nondimensional radial coordinate z for k=2 and Poisson’s ratio νr=0.3 (--- β=10, -.- β=100, — β=1000)

Grahic Jump Location
Figure 3

Variation of Dr(z) versus nondimensional radial coordinate z for k=3 and Poisson’s ratio νr=0.3 (--- β=10, -.- β=100, — β=1000)

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