Effect of Thermal Gradient on Vibration of Clamped Visco-elastic Rectangular Plate with Exponentially Thickness Variation in Both the Directions

The mainstream of visco- elastic materials are receptive to heat and in space technology, highly speed space flights, internal combustion engines, satellites, certain parts of mechanical structures have to man oeuvre under elevated temperatures consequently the state of affairs are thermal sensitive. It is observed that thermal effects are recurrently overlooked in most of the cases so far they have to be taken in to concern. It is significant to study vibration behaviour in the presence of thermal gradient due to rising use of modern materials in structural components. Moreover, weight of composite structure is minimized by optimizing its lay up and by tapering its thickness. This paper is the study of thermal effect on free transverse vibrations of clamped rectangular plate. The plate is considered to be varying in thickness as exponentially in both directions. Rayleigh-Ritz technique is applied to give a good approximation for the frequency corresponding to the first two modes of vibration. A two terms deflection function has been used as a solution. The effect of linear temperature variation has been considered. Deflection and time period corresponding to the first two modes of vibrations of clamped plate have been computed for various values of aspect ratio, thermal constants, and taper constants. Comparison have been done with published one for unheated plate and found in close agreement.