Study of Damped Vibration of Non Homogeneous Rectangular Plate of Variable Thickness

U. S. Rana, Robin

In the present paper damped vibrations of non-homogeneous rectangular plate of parabolically varying thickness resting on elastic foundation has been studied. The non- homogeneity of the plate material due to the variation in Young’s modulus and density is assumed, which varies exponentially. The governing equation of motion of plate of varying thickness in one direction is solved by numerical technique quintic spline for clamped-clamped and clamped- simply supported boundary conditions. The effect of damping, non-homogeneity, elastic foundation and taperness is discussed with permissible range of parameters. It is observed that nodal lines are shifted towards edge X=1 as thickness of edge X=0 increases and no change appeared in the pattern of nodal lines for non-homogeneity and elastic foundation.