Abstract: The development of a general computer program for analysis of free vibration of rectangular thin plates using polynomial functions is the focus of this study. A general polynomial shape function was first derived and then Ritz energy equation used to obtain an equation in terms of a non-dimensional parameter 'k', for the resonating frequency of a vibrating plate. Thereafter, Matlab programming language was used to develop an interactive computer program which requires the user to input the shape function and dimensions of each plate under consideration in order to obtain the resonating frequency. The validity of the program was demonstrated by comparing the predicted resonating frequencies with those obtained by other relevant researchers. The percentage differences were minimal and insignificant. Thus, the developed program can be used for easy and quick free vibration analysis of rectangular plates.
Keywords: Determination, Matlab Programming, Polynomial Shape Function, Resonating Frequency, Rectangular Plate, Ritz Energy Equation, Free Vibration.
Title: Determination of Resonating Frequency of Thin Rectangular Flat Plates
Author: Edward I. Adah, Owus. M. Ibearugbulem, David. O. Onwuka, Solomon U. Okoroafor
International Journal of Civil and Structural Engineering Research
ISSN 2348-7607 (Online)
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