Free vibration analysis of an elliptical plate with cut-out

Abstract

The present paper involves in the estimation and approximation of Eigen values and Eigen vectors of an Elliptical plate with a rectangular cut-out under simply supported boundary condition using Independent coordinate coupling method with an eight term deflection function. The study also investigates the effect of position and size of cut-out with rectangular shape on the natural frequencies of an elliptical plate. The variation of the natural frequencies with the change in position of cut-out along the axes of symmetry and along the radial line is studied. The present method ICCM utilizes independent coordinates separately for plate domain and hole domain. The deflection condition of plate and the hole is equated to derive the relationship between global axes and the local axes. The resulted transformation is useful in deriving the mass and stiffness matrices. The size and position of cut-out have been focused to investigate their effect on the natural frequency of an elliptical plate.