A topological optimization method considering stress constraints

Rong, Jian Hua and Liang, Qing Quan and Guo, Seng and Mu, Rang Ke (2008) A topological optimization method considering stress constraints. In: ICICTA 2008: International Conference on Intelligent Computation Technology and Automation, 20-22 Oct 2008, Changsha, China.


Sizing and shape structural optimization problems are normally stated in terms of a minimum weight approach with constraints that limit the maximum allowable stresses and displacements. However, topology structural optimization problems have been usually stated in terms of a maximum stiffness (minimum compliance) approach. In this kind of formulations, while no stress or displacement constraints are taken into account. Moreover in some FEM minimum weight topology optimization method with stress constraints formulation, transferred stress constraint functions cannot completely embody stress constraint requirements. In this paper, we build an equivalent optimization model for the topological optimization problem with the objective function being the structural weight and only stress constraints. In this model, all element stress constraints of the structure being optimized under a load case are replaced by its most potential active stress constraint and average stress constraint. In order to make the stress constraint approximations hold true during an optimization process, we propose a solving strategy of varying stress limits. And a set of stress sensitivity formulation is derived and a new topology optimization method is developed and implemented. Several simulation examples show that stress sensitivity computation cost may be greatly reduced and there is not any objective oscillation phenomenon, and verify that the proposed method is of validity and effectiveness.

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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2008 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Date Deposited: 01 Oct 2014 07:36
Last Modified: 01 Oct 2014 07:36
Uncontrolled Keywords: topological optimization; stress constraint; continuum structure; ICM method
Fields of Research (2008): 09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
01 Mathematical Sciences > 0101 Pure Mathematics > 010112 Topology
01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010303 Optimisation
Fields of Research (2020): 40 ENGINEERING > 4005 Civil engineering > 400510 Structural engineering
49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490412 Topology
49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490304 Optimisation
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: https://doi.org/10.1109/ICICTA.2008.223
URI: http://eprints.usq.edu.au/id/eprint/20888

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