Topology Optimization of Thermo-Mechanical Structure Using the Hybrid Celluar Automata Method

Article Preview

Abstract:

Topology optimization of thermo-elastic structures using the hybrid cellular automata method is investigated in this paper. The objective is to minimize the mean compliance of a structure with a single material volume constraint. The hybrid cellular automata method is used to solve the optimization problem. The local change in the design variable is determined by a local rule based on the proportional control law. The numerical example is presented to show the feasibility of the present approach.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

111-116

Citation:

Online since:

August 2013

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Q Li, G P Steven, and Y M Xie, Thermoelastic topology optimization for problems with varying temperature fields, J. Therm Stresses. 24(2001) 347–366.

DOI: 10.1080/01495730151078153

Google Scholar

[2] S Cho, J Y Choi, Efficient topology optimization of thermo-elasticity problems using coupled field adjoint sensitivity analysis method, Finite Elem. Anal. Des. 41(2005) 1481-1495.

DOI: 10.1016/j.finel.2005.05.003

Google Scholar

[3] K T Zuo, Q Qin,Y D Zhao, L P Chen, Research on the topology optimization about thermo- structural coupling field, Acta. Mech Solida. Sin. 26(2005) 447-452. (in chinese).

Google Scholar

[4] Q Xia, M Y Wang, Topology optimization of thermoelastic structures using level set method, International Conference on Eengineering Optimization. (2008) 837–857.

DOI: 10.1007/s00466-008-0287-x

Google Scholar

[5] T Gao, W H Zhang, Topology optimization involving thermo-elastic stress loads, Struct. Multidisc. Optim. 42(2010) 725-738.

DOI: 10.1007/s00158-010-0527-5

Google Scholar

[6] Autio M, Optimization of coupled thermal-structural prolybems of laminated plates with lamination parameter, Struct. Multidisc. Optim. 21(2001) 40–51.

DOI: 10.1007/s001580050166

Google Scholar

[7] A Tovar, G L Niebur, M Sen, J E Renaud, Bone structure adaptation as a cellular automaton optimization process, 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Material Conference. (2004) 1-14.

DOI: 10.2514/6.2004-1914

Google Scholar

[8] A Tovar, N M Patel, G Niebur, L S Mihir, J E Renaud, Topology optimization using a hybrid cellular automaton method with local control rules, J. Mech. Des. 128(2006) 1205-1216.

DOI: 10.1115/1.2336251

Google Scholar

[9] M P Bendsoe, N Kikuchi, Generating optimal topologies in structural design using a homogenization method, Comput. Methods Appl. Mech. Engrg. 71(1998) 197-224.

Google Scholar

[10] M P Bendsoe, O Sigmund, Material interpolation schemes in topology optimization, Arch. Appl Mech. 69(1999) 635-654.

Google Scholar

[11] N M Patel, C L Penninger, J E Renaud, Topology synthesis of extrusion-based nonlinear transient designs, J. Mech. Des. 131(2009) 061003(1-11).

DOI: 10.1115/1.3116255

Google Scholar