Quasi-Static Thermal Deflection of a Thin Clamped Circular Plate Due to Heat Generation

Abstract

This paper deals with the determination of thermal deflection in a thin clamped circular plate defined as 0 ≤r ≤ b; 0 ≤z ≤ h due to internal heat generation within it. A thin clamped circular plate is considered having arbitrary initial temperature and subjected to time dependent heat flux at the fixed circular boundary (r = b). The lower surface (z = 0) is at zero temperature whereas upper surface (z = h) is thermally insulated. The governing heat conduction equation has been solved by using integral transform technique. The edge of the circular plate is fixed and clamped at r = b. The results are obtained in series form in terms of Bessel's functions. As a special case different metallic plates have been considered and the results for thermal deflection have been computed numerically and are illustrated graphically.