Browse > Article

Topology Design Optimization of Nonlinear Thermo-elastic Structures  

Moon, Min-Yeong (서울대학교 조선해양공학과)
Jang, Hong-Lae (서울대학교 조선해양공학과)
Kim, Min-Geun (서울대학교 조선해양공학과)
Cho, Seon-Ho (서울대학교 조선해양공학과/RIMSE)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.23, no.5, 2010 , pp. 535-541 More about this Journal
Abstract
In this paper, we have derived a continuum-based adjoint design sensitivity of general performance functionals with respect to Young' modulus and heat conduction coefficient for steady-state nonlinear thermoelastic problems. An adjoint equation for temperature and displacement fields is defined for the efficient computation of the coupled field design sensitivity. Through numerical examples, we investigated the mesh dependency of the topology optimization method in the thermoelastic problems. Also, comparing the dominant loading cases of thermal and mechanical ones, the loading dependency of topology design optimization in coupled multi-physics problems is investigated.
Keywords
nonlinear thermo-elasticity; adjoint variable method; design sensitivity analysis; topology design optimization; density method; mesh dependency; load dependency;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Haug, E.J., Choi, K.K., Komkov, V. (1986) Design Sensitivity Analysis of Structural Systems, Academic Press, New York.
2 Lions, J.L. (1981) Some Methods in Mathematical Analysis of Systems and Their Control, Harwood Academin, p.572.
3 Prager, W., Rozvany, G.I.N. (1977) Optimal Layout of Grillages, Mechanics Based Design of Structures and Machines, 5, pp.1-18.   DOI   ScienceOn
4 Cho, S., Jung, H. (2003) Design Sensitivity Analysis and Topology Optimization of Displacement-Loaded Nonlinear Structures, Computer Methods Applied Mechanics and Engineering, 192, pp.2539-2553.   DOI   ScienceOn
5 Cho, S., Choi, J.Y. (2005) Efficient Topology Optimization of Thermo-Elasticity Problems Using Coupled Field Adjoint Sensitivity Analysis Method, Finite Element in Analysis and Design, 41, pp.1481-1495.   DOI   ScienceOn
6 Bendsoe, M.P., Kikuchi, N. (1988) Generating Optimal Topologies in Structual Design Using Homogenization Method, Computer Methods Applied Mechanics and Engineering, 71, pp.197-224.   DOI   ScienceOn
7 임오강, 김대우, 최은호 (2007) 열-탄성계를 고려한 엑추에이터 위상최적설계, 한국전산구조공학회 논문집, 20, pp.663-690.   과학기술학회마을
8 Bathe, K.J. (1982) Finite Element Procedures, Prentice‐Hall, NJ, p.485-547.