Thermal Deformation Analysis Using Modelica

Abstract

This paper presents a thermal deformation analysis method fully utilizing the non-causality of the Modelica language as a means of solving large scale simultaneous equations including equilibrium equations related to stresses, stress-strain relations and strain-displacement relations. As an illustrative example, a model for thermal deformation analysis of a cylindrical object in the two-dimensional circular polar coordinate system is described. Simulations are performed for a cylindrically shaped object under a uniform temperature distribution and a radial temperature distribution. The results of the simulations show that the differences in displacements between the proposed model and a model based on finite element (FE) methods are less than 9% while the number of elements that compose the proposed model is about 1/8 compared to that of the FE model.