Affiliations: Department of Mechanical Engineering, National
University of Singapore, 10 Kent Ridge Crescent, 119260, Singapore | Institute of High Performance of Computing, 1 Science
Park Road No. 01-01, the Capricorn, Science Park II, 117528, Singapore
Abstract: A simple and accurate method is proposed for the vibration analysis
of rectangular plates with one or more guided edges, in which bicubic B-spline
interpolation in combination with a new type of basis cubic B-spline functions
is used to approximate the plate deflection. This type of basis cubic B-spline
functions can satisfy simply supported, clamped, free, and guided edge
conditions with easy numerical manipulation. The frequency characteristic
equation is formulated based on classical thin plate theory by performing
Hamilton's principle. The present solutions are verified with the analytical
ones. Fast convergence, high accuracy and computational efficiency have been
demonstrated from the comparisons. Frequency parameters for 13 cases of
rectangular plates with at least one guided edge, which are possible by
approximate or numerical methods only, are presented. These results are new in
literature.
