Conference article

Thermal Deformation Analysis Using Modelica

Eunkyeong Kim
Hitachi, Ltd., Research & Development Group, Japan

Tatsurou Yashiki
Hitachi, Ltd., Research & Development Group, Japan

Fumiyuki Suzuki
Mitsubishi Hitachi Power Systems, Ltd., Japan

Yukinori Katagiri
Hitachi, Ltd., Research & Development Group, Japan

Takuya Yoshida
Hitachi, Ltd., Research & Development Group, Japan

Download articlehttp://dx.doi.org/10.3384/ecp16124121

Published in: The First Japanese Modelica Conferences, May 23-24, Tokyo, Japan

Linköping Electronic Conference Proceedings 124:16, p. 121-128

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Published: 2016-05-18

ISBN: 978-91-7685-749-6

ISSN: 1650-3686 (print), 1650-3740 (online)

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.

Keywords

thermal deformation, stress-strain relation, strain-displacement relation, equilibrium equations, displacement gradient, physical modeling, finite volume method, non-causality, Modelica, Dymola

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