Thermal Effect on the Transverse Vibration of Spinning Disk of Variable Thickness

Abstract

An attempt has here been made to consider the thermal effect on the transverse vibration of a spinning disk of variable thickness. For a comprehensive study of the problem, it has been assumed that the rate of generation of heat is fixed per unit volume. Consequently, it is observed that such a heat-generation influences the natural frequency of vibration considerably and thereby the traveling waves which happen to be moving around the disk-circumference during vibration. Toward the end of the paper it has also been shown that there may exist an additional condition for the formation of a standing wave other than the condition of coincidence of backward speed of the traveling waves with the forward speed of disk-rotation in the absence of chosen thermal distribution.