Heat Conduction Structural Topology Optimization Based on RAMP

Article Preview

Abstract:

Based on topology optimization techniques of structural mechanics, an effective method for solving the structural design problems of heat transfer is presented in this paper. The topology optimization model of heat conduction is then constructed and the corresponding Optimization Criteria based on density approach is inferred to solve the optimal heat conduction equation of temperature field. A Filtering technique is employed in density field to eliminate numerical instabilities in the process of topology optimization. Some numerical examples are presented to demonstrate the accuracy and the applicability of the present method, theory and algorithm. This research provides a new idea and an access to the structural topology optimization design of temperature field, and is of good engineering application value.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1692-1697

Citation:

Online since:

March 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] S. Xu, R.V. Grandhi, Structural Optimisation with Thermal and Mechanical Constraints, AIAA J. Aircraft 36 (1999)29–35.

Google Scholar

[2] Bejan A. Constructal-theory Network of Conducting Paths for Cooling a Heat Generating Volume [J]. International Journal of Heat and Mass transfer, 1997, 40(4): 799-816.

DOI: 10.1016/0017-9310(96)00175-5

Google Scholar

[3] Bejan A. From Heat Transfer Principles to Shape and Structure in Nature: Constructal Theory [J]. ASME Journal of Heat Transfer, 2000, 122(3): 430-449.

DOI: 10.1115/1.1288406

Google Scholar

[4] Snider A D. General Extended Surface Analysis Method[J].Journal of Heat Transfer, 1981, 103(4): 699-704.

Google Scholar

[5] Jian Q F, Gan Q J, Xu S S. Numerical Simulation of The Thermodynamic Process of Air Flow on Fin Surfaces in Heat Exchangers [J]. Journal of South China University of Technology (Natural Science Edition), 2004, 32(9):67~70(in Chinese).

Google Scholar

[6] Qing Li, Grant P,Steven, et al. Evolutionary Topology Optimization for Temperature Reduction of Heat Conducting Fields [J]. International Journal of Heat and Mass Transfer, 2004, 47: 5071-5083.

DOI: 10.1016/j.ijheatmasstransfer.2004.06.010

Google Scholar

[7] Rong J H, Jiang J S, Hu D W, et al. Structural Topology Evolutionary Optimization Method Based on Stresses and Their Sensitivity [J]. Acta Mechanica Sinica, 2003, 35(5): 584-591(in Chinese).

Google Scholar

[8] Zhang X M. Topology Optimization of Compliant Mechanisms [J]. Chinese Journal of Mechanical Engineering, 2003, 39(11): 47~51(in Chinese).

Google Scholar

[9] Bendsoe M P, Sigmud O. Topology Optimization: Theory, Method, and Application [M]. New York: Spring, (2003).

Google Scholar

[10] Daryl L. Logan. A First Course in the Finite Element Method [M]. Publishing House of Electronics Industry. Beijing: August, (2003).

Google Scholar

[11] Sigmund O, Petersson J.Numerical Instabilities in Topology Optimization: A Survey on Procedures Dealing with Checkboards, Mesh-dependencies and Local Minima [J]. Struct Optim, 1998, 16: 68-75.

DOI: 10.1007/bf01214002

Google Scholar