On Vibration of Rectangular Plates under Thermal Conditions

This book is about the vibrational behaviour of visco-elastic isotropic non-homogeneous rectangular plate whose thickness varies in one direction under the influence of bi-directional temperature variations. Vibrational properties of rectangular plates are investigated for Duralumin, an alloy of Aluminium. Duralumin is a combination of four different materials such as Aluminium (95%), Copper (4%), Magnesium (0.5%) and traces of manganese (0.5%). Due to an alloy of Aluminium and Copper, Duralumin becomes as strong as steel with light weight and cheap in cost. The main objectives of the book are: i) To develop some mathematical models on vibrational properties of non-homogeneous tapered rectangular plate under the influence of two dimensional temperature variation. ii) To study the effect of two dimensional temperature variation on the vibration of non-homogeneous rectangular plate. iii) To analyze that how one dimensional thickness variation affects the vibrational properties of non-homogeneous rectangular plate. iv) To investigate the behaviour of vibrational properties of rectangular plate with respect to variation in plate's parameters.