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EFFECT OF ELASTIC FOUNDATION ON ASYMMETRIC VIBRATION OF POLAR ORTHOTROPIC LINEARLY TAPERED CIRCULAR PLATES

โœ Scribed by U.S. GUPTA; A.H. ANSARI

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
211 KB
Volume
254
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

Asymmetric vibrations of polar orthotropic circular plates of linearly varying thickness resting on an elastic foundation of =inkler type are discussed on the basis of the classical plate theory. Ritz method has been employed to obtain the natural frequencies of vibration using the functions based upon the static de#ection of polar orthotropic plates, which has faster rate of convergence as compared to the polynomial co-ordinate functions. Frequency parameter of the plate with elastically restrained edge conditions are presented for various values of taper parameter, rigidity ratio and foundation parameter. A comparison of the results with those available in the literature obtained by "nite element method, receptance method and polynomial co-ordinate functions shows an excellent agreement.

2002 Published by Elsevier Science Ltd. * w * #D F 1 r *w *r # 1 r * w * #D I * * r 3. METHOD OF SOLUTION: RITZ METHOD Ritz method requires that the functional J(w)"; K?V !ยน K?V " 1 2 ? L D P *w * r #2 F * w * r 1 r *w *r # 1 r * w *

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