Exact Solution of Rotating Cylindrical shell under Unsteady Thermo-Mechanical Loading Using First Order Shear Deformation Theory

In this article, analytical formulation of axisymmetric rotating thick-walled cylinder under mechanical and transient heating using first order shear deformation theory is presented. Equilibrium equations are derived by virtual work principles and energy method. Also,transient heat transfer equation is solved by separation of variables, generalized Bessel function and Eigen function method. At the end the results of analytical solution are compared with FE method. The effects of time varying on stress and displacement distribution arestudied in this paper. The numerical values used in this study are chosen from the prior work of this paper’s authors to demonstrate the effect of transient heat transfer on homogeneous thick-walled cylinder. Also the effects of mechanical loading and rotation are considersin this paper and compare with Finite Element method. For validating of the results of analytical solution, ABAQUS is used as numerical software. At the end results of each loading condition is discussed in graphs.

Keywords:

Thick-walled cylinder , Rotating cylinder , Transient heat transfer , first order shear deformation theory , Virtual work principle