QUASI-STATIC TRANSIENT THERMAL STRESSES IN A ROBIN’S THIN SOLID CYLINDER WITH INTERNAL MOVING HEAT SOURCE
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Abstract
Robin’s boundary condition in thin solid cylinder of isotropic material of radius b and
height h , occupying the region R:0 ï‚£ r ï‚£ b,0 ï‚£ z ï‚£ h,0 ï‚£ï¦ ï‚£ 2ï° , having initial
temperature f (r,ï¦, z) , placed in an ambient temperature zero. The cylinder is
subjected to the activity of moving heat source along circular path of radius 0 r , where
0 0  r  b , aroud the centre of the cylinder with constant angular velocity ï· . Heat
conduction equation containing heat generation term is solved by applying integral
transform technique and Green’s theorem is adopted in deducing the solution of heat
conduction equation. The solution is obtained in a series form of Bessel function and
trigonometric function and thermal stresses is derived.
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