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Article type: Research Article
Authors: Bhardwaj, N. | Gupta, A.P. | Choong, K.K.
Affiliations: Department of Applied Sciences and Humanities, Huda- Sector 23-A, Institute of Technology and Management, Gurgaon- Haryana-122017, India | School of Civil Enginnering, Universiti Sains Malaysia, Engineering Campus, 14300 Nobong Tebal, Seberang Perai Selatan, P. Pinang, Malaysia
Note: [] Corresponding author: Dr. Neeraj Bhardwaj, Tel.: +91 124 2365811/2365812 (Ext. 223); Fax: +91 124 2367488; E-mail: bneerajdma@yahoo.co.in or bneerajdma@gmail.com
Abstract: In the present paper, asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness resting on Winkler elastic foundation is studied by using boundary characteristic orthonormal polynomials in Rayleigh-Ritz method. Convergence of the results is tested and comparison is made with results already available in the existing literature. Numerical results for the first ten frequencies for various values of parameters describing width of annular plate, thickness profile, material orthotropy and foundation constant for all three possible combinations of clamped, simply supported and free edge conditions are shown and discussed. It is found that (a) higher elastic property in circumferential direction leads to higher stiffness against lateral vibration; (b) Lateral vibration characteristics of F-F plates is more sensitive towards parametric changes in material orthotropy and foundation stiffness than C-C and S-S plates; (c) Effect of quadratical thickness variation on fundamental frequency is more significant in cases of C-C and S-S plates than that of F-F plates. Thickness profile which is convex relative to plate center-line tends to result in higher stiffness of annular plates against lateral vibration than the one which is concave and (d) Fundamental mode of vibration of C-C and S-S plates is axisymmetrical while that of F-F plates is asymmetrical.
Keywords: Annular plate, variable thickness, orthotropy, asymmetric vibration, Winkler elastic foundation, Jacobi method
Journal: Shock and Vibration, vol. 15, no. 6, pp. 599-617, 2008
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