Approximate analytical models of temperature and thermal stresses for 2D axis-symmetry object with temperature-dependent properties

This paper presents the approximate analytical models of temperature and thermal stress in a two-dimensional axis-symmetry object. The models can be used to deal with some non-linear factors caused by temperature-dependent properties using multiple parameter perturbation method. Two cases have been used to test the models proposed in this paper. The first case study is the comparison of analysis of the rotor with our models and FEM (finite element method) and it is shown that our models have a satisfactory accuracy. The second case is the application of our models to sensitivity studies. The models proposed reduce computational time significantly compared with FEM method and hence can be used for online analyzing of thermal state of a two-dimensional axis-symmetry object and inverse heat conduction problems.

► The thermoelastic problem for a 2D axis-symmetry object is studied. ► The approximate analytical models of temperature and thermal stresses are proposed. ► The models can treat some non-linear factors by multi-parameter perturbation method. ► The effects of the temperature-dependent properties are investigated.