Article | The First Japanese Modelica Conferences, May 23-24, Tokyo, Japan | Thermal Deformation Analysis Using Modelica
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Title:
Thermal Deformation Analysis Using Modelica
Author:
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
DOI:
10.3384/ecp16124121
Download:
Full text (pdf)
Year:
2016
Conference:
The First Japanese Modelica Conferences, May 23-24, Tokyo, Japan
Issue:
124
Article no.:
016
Pages:
121-128
No. of pages:
8
Publication type:
Abstract and Fulltext
Published:
2016-05-18
ISBN:
978-91-7685-749-6
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press, Linköpings universitet


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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

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

Author:
Eunkyeong Kim, Tatsurou Yashiki, Fumiyuki Suzuki, Yukinori Katagiri, Takuya Yoshida
Title:
Thermal Deformation Analysis Using Modelica
DOI:
http://dx.doi.org/10.3384/ecp16124121
References:

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Voller V.R. (2009): Basic control volume finite element methods for fluids and solids, World Scientific Publishing Co. Pte. Ltd., pp.10-20.

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

Author:
Eunkyeong Kim, Tatsurou Yashiki, Fumiyuki Suzuki, Yukinori Katagiri, Takuya Yoshida
Title:
Thermal Deformation Analysis Using Modelica
DOI:
http://dx.doi.org/10.3384/ecp16124121
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