Abstract

In this paper, the vibration analysis of a square plate with different cut-out shapes with the same area is investigated. Seven square plates of 150 mm x 150 mm size having central cut-out with all outer edges clamped (C-C-C-C) were considered for the study. Different shapes, namely triangle, square, pentagon, hexagon, heptagon, octagon and circle of the same cross-sectional area of 706.86 mm2 were cut out centrally on each square plate. The modal analyses were carried out using finite element package ANSYS Workbench 15.0. The effect of the shape of cut-out on the natural frequency of the plate was studied. It is observed that the values of natural frequencies are increased by increasing the number of edges of the cut-out.

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