Transverse vibrations of clamped and simply-supported circular plates with two dimensional thickness variation

Article type: Research Article

Authors: Bhardwaj, N. | Gupta, A. P. | Choong, K. K. | Wang, C. M. | Ohmori, Hiroshi

Affiliations: School of Civil Engineering, Universiti Sains Malaysia, Engineering Campus, 14300 Nibong Tebal, Seberang Perai Selatan, Pulau Pinang, Malaysia | Department of Applied Sciences and Humanities, Huda- Sector 23-A, ITM University, Gurgaon- Haryana-122017, India | Department of Civil Engineering, National University of Singapore, Kent Ridge, Singapore | Department of Environmental Engineering and Architecture, School of Environmental Studies, Nagoya University, Japan

Note: [] Corresponding author: Neeraj Bhardwaj, E-mail: [email protected]

Abstract: Two dimensional boundary characteristic orthonormal polynomials are used in the Ritz method for the vibration analysis of clamped and simply-supported circular plates of varying thickness. The thickness variation in the radial direction is linear whereas in the circumferential direction the thickness varies according to cos k �, where k is an integer. In order to verify the validity, convergence and accuracy of the results, comparison studies are made against existing results for the special case of linearly tapered thickness plates. Variations in frequencies for the first six normal modes of vibration and mode shapes for various taper parameters are presented.

DOI: 10.3233/SAV-2011-0630

Journal: Shock and Vibration, vol. 19, no. 3, pp. 273-285, 2012