Optimal topology selection of continuum structures with displacement constraints

Article

Liang, Qing Quan, Xie, Yi Min and Steven, Grant P.. 2000. "Optimal topology selection of continuum structures with displacement constraints ." Computers and Structures. 77 (6), pp. 635-644. https://doi.org/10.1016/S0045-7949(00)00018-3
Article Title

Optimal topology selection of continuum structures with displacement constraints

ERA Journal ID4176
Article CategoryArticle
AuthorsLiang, Qing Quan (Author), Xie, Yi Min (Author) and Steven, Grant P. (Author)
Journal TitleComputers and Structures
Journal Citation77 (6), pp. 635-644
Number of Pages10
Year2000
Place of PublicationUnited Kingdom
ISSN0045-7949
1879-2243
Digital Object Identifier (DOI)https://doi.org/10.1016/S0045-7949(00)00018-3
Web Address (URL)http://www.elsevier.com/wps/find/journaldescription.cws_home/359/description#description
Abstract

This paper deals with the optimal topology selection of continuum structures subject to displacement constraints by using the performance-based design concept. The optimal topology of a continuum structure is generated by gradually eliminating underutilized elements from the discretized design domain. A performance index is developed for monitoring the optimization process and is used as a termination criterion in the optimization algorithm so that the global optimum can be selected from the optimization history. Maximizing the performance index in the design space is proposed as the performance-based optimization criterion. The performance index can be utilized to compare the efficiency of structural topologies produced by different continuum topology optimization methods. Several examples are provided to demonstrate the capabilities of the performance-based optimization approach in selecting the best configuration for the minimum-weight design of continuum structures with maximum stiffness.

KeywordsFinite element analysis, performance based optimization, performance evaluation, stiffness, selection, topology
ANZSRC Field of Research 2020400510. Structural engineering
Public Notes

File reproduced in accordance with the copyright policy of the publisher/author.

Byline AffiliationsVictoria University of Technology
University of Sydney
Permalink -

https://research.usq.edu.au/item/9y50v/optimal-topology-selection-of-continuum-structures-with-displacement-constraints

Log in to edit
  • 1893
    total views
  • 719
    total downloads
  • 2
    views this month
  • 0
    downloads this month

Export as

Related outputs

Study of truss bolt system for highly stressed rock mass using finite element modelling techniques
Ghabraie, B., Ren, G., Xie, Y. M. and Ghabraie, K.. 2012. "Study of truss bolt system for highly stressed rock mass using finite element modelling techniques." Narsilio, G., Arulrajah, A. and Kodikara, J. (ed.) 11th Australia New Zealand Conference on Geomechanics: Ground Engineering in a Changing World. Melbourne, Australia 15 - 18 Jul 2012 Australia .
A topological optimization method considering stress constraints
Rong, Jian Hua, Liang, Qing Quan, Guo, Seng and Mu, Rang Ke. 2008. "A topological optimization method considering stress constraints ." Liu, Deshun, Wu, Yihu, Hou, Zhixiang and Wang, Junnian (ed.) ICICTA 2008: International Conference on Intelligent Computation Technology and Automation. Changsha, China 20 - 22 Oct 2008 Los Alamitos, CA. United States. https://doi.org/10.1109/ICICTA.2008.223
A study on truss bolt mechanism in controlling stability of underground excavation and cutter roof failure
Ghabraie, Behrooz, Ren, Gang, Ghabraie, Kazem and Xie, Yi Min. 2013. "A study on truss bolt mechanism in controlling stability of underground excavation and cutter roof failure." Geotechnical and Geological Engineering: an international journal. 31 (2), pp. 667-682. https://doi.org/10.1007/s10706-013-9617-7
Optimal strut-and-tie models in structural concrete members
Liang, Q. Q., Xie, Y. M. and Steven, G. P.. 1999. "Optimal strut-and-tie models in structural concrete members." Topping, B. H. V. and Kumar, B. (ed.) 7th International Conference on Civil and Structural Engineering: Optimization and Control in Civil and Structural Engineering. Oxford, United Kingdom 13 - 15 Sep 1999 Edinburgh, Scotland.
Optimal topology design of bracing systems for multi-story steel frames
Liang, Qing Quan, Xie, Yi Min and Steven, Grant P.. 2000. "Optimal topology design of bracing systems for multi-story steel frames ." Journal of Structural Engineering. 126 (7), pp. 823-829. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:7(823)
Topology optimization of strut-and-tie models in reinforced concrete structures using an evolutionary procedure
Liang, Qing Quan, Xie, Yi Min and Steven, Grant P.. 2000. "Topology optimization of strut-and-tie models in reinforced concrete structures using an evolutionary procedure ." ACI Structural Journal. 97 (2), pp. 322-330.
Optimal selection of topologies for the minimum-weight design of continuum structures with stress constraints
Liang, Qing Quan, Xie, Yi Min and Steven, Grant P.. 1999. "Optimal selection of topologies for the minimum-weight design of continuum structures with stress constraints ." Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science. 213 (8), pp. 755-762. https://doi.org/10.1243/0954406991522374
A performance index for topology and shape optimization of plate bending problems with displacement constraints
Liang, Qing Quan, Xie, Yi Min and Steven, Grant P.. 2001. "A performance index for topology and shape optimization of plate bending problems with displacement constraints ." Structural and Multidisciplinary Optimization. 21 (5), pp. 393-399. https://doi.org/10.1007/PL00013281
Generating optimal strut-and-tie models in prestressed concrete beams by performance-based optimization
Liang, Qing Quan, Xie, Yi Min and Steven, Grant P.. 2001. "Generating optimal strut-and-tie models in prestressed concrete beams by performance-based optimization ." ACI Structural Journal. 98 (2), pp. 226-232.
Performance-based optimization for strut-tie modeling of structural concrete
Liang, Qing Quan, Uy, Brian and Steven, Grant P.. 2002. "Performance-based optimization for strut-tie modeling of structural concrete ." Journal of Structural Engineering. 128 (6), pp. 815-823. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:6(815)
A performance-based optimization method for topology design of continuum structures with mean compliance constraints
Liang, Qing Quan and Steven, Grant P.. 2002. "A performance-based optimization method for topology design of continuum structures with mean compliance constraints." Computer Methods in Applied Mechanics and Engineering. 191 (13-14), pp. 1471-1489.
Shape optimization of metallic yielding devices for passive mitigation of seismic energy
Ghabraie, Kazem, Chan, Ricky, Huang, Xiaodong and Xie, Yi Min. 2010. "Shape optimization of metallic yielding devices for passive mitigation of seismic energy." Engineering Structures. 32 (8), pp. 2258-2267. https://doi.org/10.1016/j.engstruct.2010.03.028
Shape and reinforcement optimization of underground tunnels
Ghabraie, Kazem, Xie, Yi Min, Huang, Xiaodong and Ren, Gang. 2010. "Shape and reinforcement optimization of underground tunnels." Journal of Computational Science and Technology. 4 (1), pp. 51-63. https://doi.org/10.1299/jcst.4.51
Optimal topology selection of continuum structures with stress and displacement constraints
Liang, Qing Quan, Xie, Yi Min and Steven, Grant P.. 1999. "Optimal topology selection of continuum structures with stress and displacement constraints." Okamura, Hajime and Shima, Hiroshi (ed.) 7th East Asia-Pacific Conference on Structural Engineering & Construction. Kochi, Japan 27 - 29 Aug 1999 Tokyo, Japan.
Topology optimization of strut-and-tie models in non-flexural reinforced concrete members
Liang, Qing Quan, Xie, Yi Min, Steven, Grant P. and Schmidt, L. C.. 1999. "Topology optimization of strut-and-tie models in non-flexural reinforced concrete members." Hadi, Muhammad N. S. and Schmidt, L. C. (ed.) International Conference on Mechanics of Structures, Materials and Systems (1999). Wollongong, Australia 17 - 19 Feb 1999 Wollongong, Australia.
Parametric study on the structural behaviour of steel plates in concrete-filled fabricated thin-walled box columns
Liang, Qing Quan and Uy, Brian. 1998. "Parametric study on the structural behaviour of steel plates in concrete-filled fabricated thin-walled box columns." Advances in Structural Engineering: an international journal. 2 (1), pp. 57-71.
Theoretical study on the post-local buckling of steel plates in concrete-filled box columns
Liang, Qing Quan and Uy, Brian. 2000. "Theoretical study on the post-local buckling of steel plates in concrete-filled box columns ." Computers and Structures. 75 (5), pp. 479-490. https://doi.org/10.1016/S0045-7949(99)00104-2