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
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.
