10-10-2014, 02:06 PM
The study of vibration of plates occupies a central place in the dynamic analysis
and design of many civil, mechanical and aerospace structures. While a large
database is available on the free vibration characteristics of ordinary rectangular
plates, information on plates with holes is limited. With this in view, in the
present thesis free vibration analysis of rectangular plates with single and
multiple holes is presented for various combination of exterior boundary
conditions.
Chapter I is a brief review of available relevant literature in the area of circular
and rectangular plates with openings. In Chapter II rectangular plates with a
single hole is considered. Rayleigh-Ritz technique is adopted to find the natural
frequencies and mode shapes for various important boundary conditions. Beam
eigen functions are used as trial functions. The results of an all edges clamped
plate with a single hole is verified by finite element formulation and the
convergence of the results with beam eigen function is established. The
analysis is extended to plates with several holes in Chapter III. Again Rayleigh -
Ritz formulation is used with beam eigen functions as the trial functions. Results
are presented in the form of charts for various hole sizes and exterior boundary
conditions. .
Chapter IV is devoted to experimental verification of the theoretical results.
Results on the free vibration of several aluminium cantilever plates with varying
hole sizes are presented.
The thesis ends in Chapter V with summary, conclusion and a few suggestions
for further research.