Abstract:

This paper presents a numerical study on the analysis of plates made of different shapes aimed at the prediction of free vibration analysis in terms of natural frequencies and mode shapes. The free vibration analysis provides the basis for designing and modeling of plates employed for structural applications. The baseline design uses two different shapes of plates (rectangular and square) experimented with various central holes. A symmetrical approach has been adopted in the present investigation to find out the mode shapes and natural frequencies. The computational efficiency in predicting the Eigenvalues by using finite element method is determined through a number of case studies. The effect of boundary conditions (clamped free and simply supported) in determining Eigen frequencies applied to the plate and are studied in detail. From the results, it may be observed that the cutout has a significant effect on modal frequencies. The numerical study carried out provides a good insight for predicting the modal behaviour characteristics of plates.

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