A topology and sizing optimisation method for lightweight sandwich structures subject to dynamic and static constraints
A static-dynamic topology-sizing optimisation method is presented. The solution is based on a sequential Mixed-Integer Linear Programming solution and aims to minimise the mass of a structure subjected to concurrent constraints on static and dynamic response. It is shown that the classical problem o...
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| Published in | Composite structures Vol. 348; p. 118442 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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15.11.2024
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| Abstract | A static-dynamic topology-sizing optimisation method is presented. The solution is based on a sequential Mixed-Integer Linear Programming solution and aims to minimise the mass of a structure subjected to concurrent constraints on static and dynamic response. It is shown that the classical problem of the dynamics of lightweight sandwich structures may be mitigated through core topology and face sheet thickness combinations, retaining the static load carrying capacity while presenting stringent dynamic properties at a low mass penalty.
A numerical example, in the form of a load carrying sandwich beam which is excited at different frequencies, is used to demonstrate the method.
•A topology-sizing optimisation method for lightweight sandwich materials is presented.•A constraint on the static compliance ensures the sandwich load carrying capacity.•The mass minimisation problem involves both core topology and face sheet thickness.•The optimisation is reformulated as a mixed integer linear programming problem.•Examples show that stringent dynamic constraints may be met at low mass penalty. |
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| AbstractList | A static-dynamic topology-sizing optimisation method is presented. The solution is based on a sequential Mixed-Integer Linear Programming solution and aims to minimise the mass of a structure subjected to concurrent constraints on static and dynamic response. It is shown that the classical problem of the dynamics of lightweight sandwich structures may be mitigated through core topology and face sheet thickness combinations, retaining the static load carrying capacity while presenting stringent dynamic properties at a low mass penalty.
A numerical example, in the form of a load carrying sandwich beam which is excited at different frequencies, is used to demonstrate the method.
•A topology-sizing optimisation method for lightweight sandwich materials is presented.•A constraint on the static compliance ensures the sandwich load carrying capacity.•The mass minimisation problem involves both core topology and face sheet thickness.•The optimisation is reformulated as a mixed integer linear programming problem.•Examples show that stringent dynamic constraints may be met at low mass penalty. A static-dynamic topology-sizing optimisation method is presented. The solution is based on a sequential Mixed-Integer Linear Programming solution and aims to minimise the mass of a structure subjected to concurrent constraints on static and dynamic response. It is shown that the classical problem of the dynamics of lightweight sandwich structures may be mitigated through core topology and face sheet thickness combinations, retaining the static load carrying capacity while presenting stringent dynamic properties at a low mass penalty. A numerical example, in the form of a load carrying sandwich beam which is excited at different frequencies, is used to demonstrate the method. |
| ArticleNumber | 118442 |
| Author | Larsson, Johan Wennhage, Per Göransson, Peter |
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| Cites_doi | 10.1177/1099636203005003003 10.1177/1099636209359845 10.1016/j.engstruct.2017.03.067 10.1007/s00158-017-1859-1 10.1002/nme.1743 10.1016/j.jsv.2023.117959 10.1106/CM4M-7JAY-VBTP-37JE 10.1016/j.cma.2020.113387 10.1007/s00158-007-0196-1 10.1016/j.compstruc.2009.11.011 10.1016/j.jsv.2014.01.025 10.1007/BF01650949 10.1016/j.finel.2021.103650 10.1016/j.finel.2017.10.006 10.1061/(ASCE)ST.1943-541X.0000347 10.1016/j.finel.2021.103683 |
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| Keywords | Topology optimisation Mixed integer programming TOBS Multifunctional structures Sandwich structures |
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| References | Zuo, Xie, Huang (b13) 2011; 137 Huang, Xie (b12) 2008; 36 Wennhage (b1) 2001; 3 Hu, Yao, Huang (b14) 2022; 199 Larsson, Göransson, Wennhage (b16) 2023; 54 Niu, He, Shan, Yang (b19) 2018; 57 Zhang, Sun (b11) 2006; 68 Cool, Sigmund, Aage, Naets, Deckers (b15) 2024; 568 Cylp (b21) 2021 Hu, Yao, Huang (b10) 2020; 372 Bendsøe, Sigmund (b7) 2004 Wennhage (b2) 2003; 5 Cameron, Wennhage, Göransson, Rahmqvist (b3) 2010; 12 Conforti, Cournêjols, Zambelli (b20) 2014 Cameron, Wennhage, Göransson, Nordgren (b4) 2014; 333 Sivapuram, Picelli (b17) 2018; 139 Svanberg, Werme (b18) 2006 Larsson, Wennhage, Göransson (b22) 2022; 200 Bendsøe (b5) 1989; 1 Huang, Zuo, Xie (b9) 2010; 88 Liu, Huang, Huang, Sun, Yan, Li (b8) 2017; 142 Huang, Xie (b6) 2010 Wennhage (10.1016/j.compstruct.2024.118442_b1) 2001; 3 Bendsøe (10.1016/j.compstruct.2024.118442_b7) 2004 Hu (10.1016/j.compstruct.2024.118442_b10) 2020; 372 Sivapuram (10.1016/j.compstruct.2024.118442_b17) 2018; 139 Cool (10.1016/j.compstruct.2024.118442_b15) 2024; 568 Cylp (10.1016/j.compstruct.2024.118442_b21) 2021 Wennhage (10.1016/j.compstruct.2024.118442_b2) 2003; 5 Niu (10.1016/j.compstruct.2024.118442_b19) 2018; 57 Larsson (10.1016/j.compstruct.2024.118442_b22) 2022; 200 Liu (10.1016/j.compstruct.2024.118442_b8) 2017; 142 Hu (10.1016/j.compstruct.2024.118442_b14) 2022; 199 Huang (10.1016/j.compstruct.2024.118442_b6) 2010 Bendsøe (10.1016/j.compstruct.2024.118442_b5) 1989; 1 Huang (10.1016/j.compstruct.2024.118442_b9) 2010; 88 Huang (10.1016/j.compstruct.2024.118442_b12) 2008; 36 Cameron (10.1016/j.compstruct.2024.118442_b3) 2010; 12 Cameron (10.1016/j.compstruct.2024.118442_b4) 2014; 333 Zuo (10.1016/j.compstruct.2024.118442_b13) 2011; 137 Zhang (10.1016/j.compstruct.2024.118442_b11) 2006; 68 Svanberg (10.1016/j.compstruct.2024.118442_b18) 2006 Larsson (10.1016/j.compstruct.2024.118442_b16) 2023; 54 Conforti (10.1016/j.compstruct.2024.118442_b20) 2014 |
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| Title | A topology and sizing optimisation method for lightweight sandwich structures subject to dynamic and static constraints |
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