A performance index for topology and shape optimization of plate bending problems with displacement constraints

Article


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
Article Title

A performance index for topology and shape optimization of plate bending problems with displacement constraints

ERA Journal ID3820
Article CategoryArticle
AuthorsLiang, Qing Quan (Author), Xie, Yi Min (Author) and Steven, Grant P. (Author)
Journal TitleStructural and Multidisciplinary Optimization
Journal Citation21 (5), pp. 393-399
Number of Pages7
Year2001
PublisherSpringer
Place of PublicationGermany
ISSN1615-147X
1615-1488
Digital Object Identifier (DOI)https://doi.org/10.1007/PL00013281
Web Address (URL)http://www.springerlink.com/content/102504/
Abstract

[Abstract]: This paper presents a performance index for topology and shape optimization of plate bending problems with displacement constraints. The performance index is developed based on the scaling design approach. This performance index is used in the Performance-Based Optimization (PBO) method for plates in bending to keep track of the performance history when inefficient material is gradually removed from the design and to identify optimal topologies and shapes from the optimization process. Several examples are provided to illustrate the validity and effectiveness of the proposed performance index for topology and shape optimization of bending plates with single and multiple displacement constraints under various loading conditions. The topology optimization and shape optimization are undertaken for the same plate in bending, and the results are evaluated by using the performance index. The proposed performance index is also employed to compare the efficiency of topologies and shapes produced by different optimization methods. It is demonstrated that the performance index developed is an effective indicator of material efficiency for bending plates. From the manufacturing and efficient point of view, the shape optimization technique is recommended for the optimization of plates in bending.

Keywordsefficiency, performance-based optimization, performance index, plate, ranking, topology and shape optimization
ANZSRC Field of Research 2020400510. Structural engineering
Public Notes

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

Byline AffiliationsVictoria University
Victoria University of Technology
Durham University, United Kingdom
Permalink -

https://research.usq.edu.au/item/9y3v3/a-performance-index-for-topology-and-shape-optimization-of-plate-bending-problems-with-displacement-constraints

Download files


Submitted Version
Liang_Xie_Steven_Author's_version.pdf
File access level: Anyone

  • 1883
    total views
  • 677
    total downloads
  • 1
    views this month
  • 1
    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 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.
Structural design optimization
Liang, Qing Quan. 2007. "Structural design optimization." Advances in Structural Engineering: an international journal. 10 (6), pp. i-ii.
Preface [to the 2005 Australian Structural Engineering Conference (ASEC) issue of Australian Journal of Structural Engineering]
Uy, Brian and Liang, Qing Quan. 2007. "Preface [to the 2005 Australian Structural Engineering Conference (ASEC) issue of Australian Journal of Structural Engineering]." Australian Journal of Structural Engineering. 7 (2).
Optimal topology selection of continuum structures with displacement constraints
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
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
Ultimate strength of continuous composite beams in combined bending and shear
Liang, Qing Quan, Uy, Brian, Bradford, Mark A. and Ronagh, Hamid R.. 2004. "Ultimate strength of continuous composite beams in combined bending and shear ." Journal of Constructional Steel Research. 60 (8), pp. 1109-1128. https://doi.org/10.1016/j.jcsr.2003.12.001
Local buckling of steel plates in double skin composite panels under biaxial compression and shear
Liang, Qing Quan, Uy, Brian, Wright, Howard D. and Bradford, Mark A.. 2004. "Local buckling of steel plates in double skin composite panels under biaxial compression and shear ." Journal of Structural Engineering. 130 (3), pp. 443-451. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:3(443)
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.
Strength analysis of steel-concrete composite beams in combined bending and shear
Liang, Qing Quan, Uy, Brian, Bradford, Mark A. and Ronagh, Hamid R.. 2005. "Strength analysis of steel-concrete composite beams in combined bending and shear ." Journal of Structural Engineering. 131 (10), pp. 1593-1600. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:10(1593)
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.
Strength of concrete-filled steel box columns with buckling effects
Liang, Qing Quan, Uy, Brian and Liew, J. Y. Richard. 2007. "Strength of concrete-filled steel box columns with buckling effects." Australian Journal of Structural Engineering. 7 (2), pp. 145-155.
Closure to 'Strength analysis of steel-concrete composite beams in combined bending and shear' by Qing Quan Liang, Brian Uy, Mark A. Bradford and Hamid R. Ronagh
Liang, Qing Quan, Uy, Brian, Bradford, Mark A. and Ronagh, Hamid R.. 2007. "Closure to 'Strength analysis of steel-concrete composite beams in combined bending and shear' by Qing Quan Liang, Brian Uy, Mark A. Bradford and Hamid R. Ronagh." Journal of Structural Engineering. 133 (2), pp. 309-310. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:2(309)
Local buckling of steel plates in concrete-filled thin-walled steel tubular beam-columns
Liang, Qing Quan, Uy, Brian and Liew, J. Y. Richard. 2007. "Local buckling of steel plates in concrete-filled thin-walled steel tubular beam-columns." Journal of Constructional Steel Research. 63 (3), pp. 396-405. https://doi.org/10.1016/j.jcsr.2006.05.004
Post-local buckling of steel plates in concrete-filled thin-walled steel tubular columns under biaxial loading
Liang, Qing Quan. 2006. "Post-local buckling of steel plates in concrete-filled thin-walled steel tubular columns under biaxial loading." Kanok-Nukulchai, Worsak, Munasinghe, Sunil and Anwar, Naveed (ed.) 10th East Asia-Pacific Conference on Structural Engineering and Construction: Materials, Experimentation, Maintenance and Rehabilitation (EASEC-10). Bangkok, Thailand 03 - 05 Aug 2006 Thailand.
Performance-based optimization of strut-and-tie models in reinforced concrete beam-column connections
Liang, Qing Quan. 2006. "Performance-based optimization of strut-and-tie models in reinforced concrete beam-column connections." Kanok-Nukulchai, Worsak, Munasinghe, Sunil and Anwar, Naveed (ed.) 10th East Asia-Pacific Conference on Structural Engineering and Construction: Materials, Experimentation, Maintenance and Rehabilitation (EASEC-10). Bangkok, Thailand 03 - 05 Aug 2006 Thailand.
Performance-based analysis of concrete-filled steel tubular beam–columns, part I: theory and algorithms
Liang, Qing Quan. 2009. "Performance-based analysis of concrete-filled steel tubular beam–columns, part I: theory and algorithms." Journal of Constructional Steel Research. 65 (2), pp. 363-372. https://doi.org/10.1016/j.jcsr.2008.03.007
Performance-based analysis of concrete-filled steel tubular beam–columns, part II: verification and applications
Liang, Qing Quan. 2009. "Performance-based analysis of concrete-filled steel tubular beam–columns, part II: verification and applications." Journal of Constructional Steel Research. 65 (2), pp. 351-362. https://doi.org/10.1016/j.jcsr.2008.03.003
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
Geometric and material nonlinear behaviour of steel plates in thin-walled concrete filled box columns
Liang, Qing Quan and Uy, Brian. 1998. "Geometric and material nonlinear behaviour of steel plates in thin-walled concrete filled box columns." Shanmugam, N. E., Liew, J. Y. R. and Thevendran, V. (ed.) 2nd International Conference on Thin-Walled Structures. Singapore 02 - 04 Dec 1998 Oxford, UK.
Local and post-local buckling of steel-concrete composite panels under combined states of stresses
Liang, Qing Quan, Uy, Brian, Wright, Howard D. and Bradford, Mark A.. 2003. "Local and post-local buckling of steel-concrete composite panels under combined states of stresses." Hancock, G. J., Bradford, Mark A., Wilkinson, T. J., Uy, Brian and Rasmussen, K. J. R. (ed.) International Conference on Advances in Structures (ASSCCA'03). Sydney, Australia 22 - 25 Jun 2003 United Kingdom.
Strength of concrete-filled steel box columns with local buckling effects
Liang, Qing Quan, Uy, Brian and Liew, J. Y. Richard. 2005. "Strength of concrete-filled steel box columns with local buckling effects." Stewart, Mark G. and Dockrill, Brad (ed.) 2005 Australian Structural Engineering Conference (ASEC 2005). Newcastle, Australia 11 - 14 Sep 2005 Newcastle, Australia.
Nonlinear analysis of short concrete-filled steel tubular beam-columns under axial load and biaxial bending
Liang, Qing Quan. 2008. "Nonlinear analysis of short concrete-filled steel tubular beam-columns under axial load and biaxial bending." Journal of Constructional Steel Research. 64 (3), pp. 295-304. https://doi.org/10.1016/j.jcsr.2007.07.001
A level set method for topology optimization of continuum structures with bounded design domain
Rong, Jian Hua and Liang, Qing Quan. 2008. "A level set method for topology optimization of continuum structures with bounded design domain." Computer Methods in Applied Mechanics and Engineering. 197 (17-18), pp. 1447-1465. https://doi.org/10.1016/j.cma.2007.11.026
Performance-based optimization: a review
Liang, Qing Quan. 2007. "Performance-based optimization: a review." Advances in Structural Engineering: an international journal. 10 (6), pp. 739-753.
A level set method with maximum design domain limits
Rong, J. H., Yi, J. H. and Liang, Q. Q.. 2008. "A level set method with maximum design domain limits." Xie, Yi Min and Patnaikuni, Indubhushan (ed.) ISEC 4: Innovations in Structural Engineering and Construction. Melbourne, Australia 26 - 28 Sep 2007 London, United Kingdom.
Nonlinear analysis and behavior of concrete-filled steel tubular beam-columns
Liang, Q. Q. and Hadi, M. N. S.. 2008. "Nonlinear analysis and behavior of concrete-filled steel tubular beam-columns." Xie, Yi Min and Patnaikuni, Indubhushan (ed.) ISEC 4: Innovations in Structural Engineering and Construction. Melbourne, Australia 26 - 28 Sep 2007 London, United Kingdom.
Performance-based optimization of strut-and-tie models in reinforced concrete deep beams
Liang, Q. Q. and Ng, A. W. M.. 2008. "Performance-based optimization of strut-and-tie models in reinforced concrete deep beams." Xie, Yi Min and Patnaikuni, Indubhushan (ed.) ISEC 4: Innovations in Structural Engineering and Construction. Melbourne, Australia 26 - 28 Sep 2007 Netherlands.
Effects of continuum design domains on optimal bracing systems for multistory steel building frameworks
Liang, Qing Quan. 2007. "Effects of continuum design domains on optimal bracing systems for multistory steel building frameworks." Veidt, Martin, Albermani, Faris, Daniel, Bill, Griffiths, John, Hargreaves, Doug, McAree, Ross, Meehan, Paul and Tan, Andy (ed.) 5th Australasian Congress on Applied Mechanics (ACAM 2007). Brisbane, Australia 10 - 12 Dec 2007 Sydney, Australia.
Automated performance-based optimal design of continuum structures under multiple load cases
Liang, Qing Quan. 2007. "Automated performance-based optimal design of continuum structures under multiple load cases." Veidt, Martin, Albermani, Faris, Daniel, Bill, Griffiths, John, Hargreaves, Doug, McAree, Ross, Meehan, Paul and Tan, Andy (ed.) 5th Australasian Congress on Applied Mechanics (ACAM 2007). Brisbane, Australia 10 - 12 Dec 2007 Sydney, Australia.
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.
Local buckling of biaxially compressed steel plates in double skin composite panels
Liang, Qing Quan, Uy, Brian, Wright, Howard D. and Bradford, Mark A.. 2002. "Local buckling of biaxially compressed steel plates in double skin composite panels." Chan, S. L., Teng, J. G. and Chung, K. F. (ed.) Third International Conference on Advances in Steel Structures (2002). Hong Kong, China 09 - 11 Dec 2002 London, UK.
Local and post-local buckling of double skin composite panels
Liang, Qing Quan, Uy, Brian, Wright, Howard D. and Bradford, Mark A.. 2003. "Local and post-local buckling of double skin composite panels ." Proceedings of the Institution of Civil Engineers: Structures and Buildings. 156 (2), pp. 111-119.
Performance-based optimization of structures: theory and applications
Liang, Qing Quan. 2005. Performance-based optimization of structures: theory and applications. London and New York. Spon Press.
Nonlinear analysis of concrete-filled thin-walled steel box columns with local buckling effects
Liang, Qing Quan, Uy, Brian and Liew, J. Y. Richard. 2006. "Nonlinear analysis of concrete-filled thin-walled steel box columns with local buckling effects." Journal of Constructional Steel Research. 62 (6), pp. 581-591. https://doi.org/10.1016/j.jcsr.2005.09.007
Inelastic behavior of concrete-filled thin-walled steel tubular columns subjected to local buckling
Liang, Qing Quan. 2006. "Inelastic behavior of concrete-filled thin-walled steel tubular columns subjected to local buckling." Kanok-Nukulchai, Worsak, Munasinghe, Sunil and Anwar, Naveed (ed.) 10th East Asia-Pacific Conference on Structural Engineering and Construction: Materials, Experimentation, Maintenance and Rehabilitation (EASEC-10). Bangkok, Thailand 03 - 05 Aug 2006 Pathumthani, Thailand.