Transverse Vibrations of Clamped and Simply-Supported Circular Plates with Two Dimensional Thickness Variation | Zendy

N. Bhardwaj | Zendy; Anupriya Gupta | Zendy; Kok Keong Choong | Zendy; C.M. Wang | Zendy; Hiroshi Ohmori | Zendy

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Transverse Vibrations of Clamped and Simply-Supported Circular Plates with Two Dimensional Thickness Variation

Author(s) -

N. Bhardwaj,

Anupriya Gupta,

Kok Keong Choong,

C.M. Wang,

Hiroshi Ohmori

Publication year - 2012

Publication title -

shock and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.418

H-Index - 45

eISSN - 1875-9203

pISSN - 1070-9622

DOI - 10.1155/2012/132969

Subject(s) - convergence (economics) , boundary (topology) , vibration , geometry , mathematics , algorithm , mathematical analysis , physics , acoustics , economics , economic growth

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 θ , 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.

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