Topology optimization for coupled thermal and structural problems using the level set method

被引：0

作者：

Iga A. ^{[1
]}

Yamada T. ^{[1
]}

Nishiwaki S. ^{[1
]}

Izui K. ^{[1
]}

Yoshimura M. ^{[1
]}

机构：

[1] Department of Aeronautics and Astronautics, Kyoto University, Yoshida-honmachi, Sakyo-ku, Kyoto

来源：

Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C | 2010年 / 76卷 / 761期

关键词：

Finite element method; Optimum design; Sensitivity analysis; heat conduction; Structural analysis;

D O I：

10.1299/kikaic.76.36

中图分类号：

学科分类号：

摘要：

In structural designs considering thermal loading, maximization of temperature diffusivity as well as structural stiffness are important and indispensable goals that optimal solutions to design problems need to achieve to reduce operating temperatures and extend product durability. In this paper, a new topology optimization method, based on the level set method and Finite Element Method and including design-dependent effects, is constructed for coupled thermal and structural problems, and multi-objective optimization problems having generic heat transfer boundaries in a fixed design domain are formulated. First, a topology optimization method for coupled thermal and structural problems that uses a level set method incorporating fictitious interface energy is briefly explained. Next, a new objective function that can take into account both temperature diffusivity and stiffness maximization is formulated, based on the concept of total potential energy maximization for the thermal and structural problems. An optimization algorithm that uses the Finite Element Method when solving the equilibrium equation and updating the level set function is then constructed. Finally, several numerical examples are presented to confirm the usefulness of the proposed method.

引用

页码：36 / 43

页数：7

共 19 条

[1] Bendsoe M.P., Kikuchi N., Generating optimal topologies in structural design using a homogenization method, Computer Methods in Applied Mechanics and Engineering, 71, pp. 197-224, (1988)
[2] Suzuki K., Kikuchi N., A homogenization method for shape and topology optimization, Computer Methods in Applied Mechanics and Engineering, 121, pp. 291-318, (1991)
[3] Diaz A.R., Kikuchi N., Solutions to shape and topology eigenvalue optimization problems using a homogenization method, International Journal for Numerical Methods in Engineering, 35, pp. 1487-1502, (1992)
[4] Bendsoe M.P., Optimal shape design as a material distribution problem, Structural Optimization, 1, pp. 193-202, (1989)
[5] Rozvany G.I.N., Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics, Structural and Multidisciplinary Optimization, 21, pp. 90-108, (2001)
[6] Bendsoe M.P., Sigmund O., Material interpolation schemes in topology optimization, Archive of Applied Mechanics, 69, pp. 635-654, (1999)
[7] Cherkaev A., Variational Method for Structural Optimization, pp. 117-141, (2000)
[8] Allaire G., Shape Optimization by the Homogenization Method, pp. 189-257, (2002)
[9] Haslinger J., Hillebrand A., Karkkainen T., Miettinen M., Optimization of conducting structures by using the homogenization method, Structural and Multidisciplinary Optimization, 24, pp. 125-140, (2002)
[10] Iga A., Nishiwaki S., Izui K., Yoshimura M., Topology optimization for thermal problems based on assumed continuous approximation of material distribution, Transactions of the Japan Society of Mechanical Engineers. Series C, 73, pp. 2426-2433, (2007)

← 1 2 →