Damped Vibrations of Rectangular Plate of Variable Thickness Resting on Elastic Foundation: A Spline Technique

Abstract

( ) =h h x . For a harmonic solution, the deflection function w, satisfying the condition at y=0 and y=b, is assumed AbstractIn the present paper damped vibrations of homogeneous rectangular plate of linearly varying thickness resting on elastic foundation has been studied. Following Lévy approach, the equation of motion of plate of varying thickness in one direction is solved by quintic spline method. The effect of damping, elastic foundation and taperness is discussed with permissible range of parameters. The frequency parameter Ω decreases as damping parameter D k increases and it decreases faster in simply supported as compared to clamped-clamped boundary conditions in case of damping parameter and reverses in case of taperness.