QUASI-STATIC TRANSIENT THERMAL STRESSES IN A THICK CIRCULAR PLATE WITH INTERNAL MOVING POINT SOURCE

摘要

In this paper authors considered transient, non-homogeneous thermoelastic problem with Dirichlet's boundary condition in thick circular plate of isotropic material, occupying the region R: 0 ≤ r ≤ a,0 ≤φ≤2π, 0 ≤ z ≤ h. Initial temperature of the plate is f(r, φ, z) and placed in an ambient temperature zero. The plate is subjected to the activity of moving point heat source at a point (r', φ', z') moving along a circular path of radius r', where 0＜r'＜a, around the centre of the plate with constant angular velocity ω. The heat conduction equation containing heat generation term is solved by applying integral transform technique and Green's theorem is adopted in deriving the solution of heat conduction equation. The solution is obtained in a series form of Bessel function and trigonometric function.