Effect of Thermal Gradient and Thickness Variation on Vibration of Visco-Elastic Plate

Plates and plate-type structures have gained a special importance and notably increased engineering applications in recent years. A large number of structural components in engineering structures can be classified as plates. Plates are also indispensable in ship building and aerospace industries. The wings and a large part of the fuselage of an aircraft for example consist of a slightly curved plate skin with an array of stiffened ribs. The hull of a ship its deck and its super structure are further examples of stiffened plate structures. Plates with variable thickness are also have a great importance in a wide variety of engineering applications i.e. nuclear reactor aeronautical field naval structure submarine earth-quake resistors etc. A mathematical model is presented for the use of engineers and research workers in space technology have to operate under elevated temperatures. In this paper the thickness varies linearly in x- direction and thermal effect is varying linearly in two directions. Rayleigh Ritz method is used to evaluate the fundamental frequencies. Both the modes of the frequency are calculated for the various values of taper parameters and thermal gradient.