Solving multi-objective truss structural optimization problems considering natural frequencies of vibration and automatic member grouping

Minimizing the mass of a structure and maximizing its first natural frequency of vibration are conflicting objectives of real interest in structural design. To avoid problems with resonance, which can lead to their collapse, structures can be designed by making the first natural frequency of vibrati...

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Veröffentlicht in:	Evolutionary intelligence Jg. 17; H. 2; S. 653 - 678
Hauptverfasser:	Carvalho, Érica C. R., Carvalho, José Pedro G., Bernardino, Heder S., Lemonge, Afonso C. C., Hallak, Patrícia H., Vargas, Dênis E. C.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2024 Springer Nature B.V
Schlagworte:	Applications of Mathematics Artificial Intelligence Bioinformatics Bridges Civil engineering Constraints Control Decision making Design Engineering Evolutionary computation Genetic algorithms Heuristic Literature reviews Mathematical and Computational Engineering Mechatronics Multiple objective analysis Objectives Optimization Resonant frequencies Review Article Robotics Sorting algorithms Statistical Physics and Dynamical Systems Structural design Topology Trusses Vibration Cardinality constraints Multi-objective evolutionary algorithms Natural frequencies of vibration Multi-objective truss structural optimization Automatic member grouping
ISSN:	1864-5909, 1864-5917
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Abstract	Minimizing the mass of a structure and maximizing its first natural frequency of vibration are conflicting objectives of real interest in structural design. To avoid problems with resonance, which can lead to their collapse, structures can be designed by making the first natural frequency of vibration high. Furthermore, it is crucial to stay away from excitation frequencies. Here we formulate and solve multi-objective structural optimization problems of trusses with these conflicting objectives. This type of problem is uncommon in the literature, since the natural frequencies of vibration are generally set as constraints rather than as objective functions. The generalized differential evolution 3 (GDE3), the nondominated sorting genetic algorithm II (NSGA-II), decision space-based niching (DN-NSGA-II), the competitive mechanism-based multi-objective particle swarm optimizer (CMOPSO), and the MOPSO with multiple search strategies (MMOPSO) are the algorithms used in this paper. Additionally, cardinality constraints are used to manage the difficulty of discovering the best member grouping, which is very effective in addressing the problems analyzed in this paper. The experiments refer to the 10-, 25-, 72-, and 200-bar trusses. Each involves two analyses, taking into account the performance indicators and the use of a multi tournament decision (MTD) method to extract the desired solutions. Furthermore, the design variables of each extracted solution, including its optimized topology, are provided.
AbstractList	Minimizing the mass of a structure and maximizing its first natural frequency of vibration are conflicting objectives of real interest in structural design. To avoid problems with resonance, which can lead to their collapse, structures can be designed by making the first natural frequency of vibration high. Furthermore, it is crucial to stay away from excitation frequencies. Here we formulate and solve multi-objective structural optimization problems of trusses with these conflicting objectives. This type of problem is uncommon in the literature, since the natural frequencies of vibration are generally set as constraints rather than as objective functions. The generalized differential evolution 3 (GDE3), the nondominated sorting genetic algorithm II (NSGA-II), decision space-based niching (DN-NSGA-II), the competitive mechanism-based multi-objective particle swarm optimizer (CMOPSO), and the MOPSO with multiple search strategies (MMOPSO) are the algorithms used in this paper. Additionally, cardinality constraints are used to manage the difficulty of discovering the best member grouping, which is very effective in addressing the problems analyzed in this paper. The experiments refer to the 10-, 25-, 72-, and 200-bar trusses. Each involves two analyses, taking into account the performance indicators and the use of a multi tournament decision (MTD) method to extract the desired solutions. Furthermore, the design variables of each extracted solution, including its optimized topology, are provided.
Author	Hallak, Patrícia H. Carvalho, Érica C. R. Carvalho, José Pedro G. Vargas, Dênis E. C. Lemonge, Afonso C. C. Bernardino, Heder S.
Author_xml	– sequence: 1 givenname: Érica C. R. orcidid: 0000-0001-8818-8658 surname: Carvalho fullname: Carvalho, Érica C. R. email: ericacrcarvalho@gmail.com organization: Graduate Program of Computational Modeling, Federal University of Juiz de Fora – sequence: 2 givenname: José Pedro G. orcidid: 0000-0001-5266-0703 surname: Carvalho fullname: Carvalho, José Pedro G. organization: Civil Engineering Program, COPPE/Federal University of Rio de Janeiro – sequence: 3 givenname: Heder S. orcidid: 0000-0003-2012-7802 surname: Bernardino fullname: Bernardino, Heder S. organization: Department of Computer Science, Institute of Exact Sciences, Federal University of Juiz de Fora – sequence: 4 givenname: Afonso C. C. orcidid: 0000-0001-9938-294X surname: Lemonge fullname: Lemonge, Afonso C. C. organization: Department of Applied and Computational Mechanics, School of Engineering, Federal University of Juiz de Fora – sequence: 5 givenname: Patrícia H. orcidid: 0000-0003-3224-9946 surname: Hallak fullname: Hallak, Patrícia H. organization: Department of Applied and Computational Mechanics, School of Engineering, Federal University of Juiz de Fora – sequence: 6 givenname: Dênis E. C. orcidid: 0000-0001-6098-0029 surname: Vargas fullname: Vargas, Dênis E. C. organization: Department of Mathematics, Federal Center for Technological Education of Minas Gerais
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CitedBy_id	crossref_primary_10_1016_j_istruc_2025_109674 crossref_primary_10_3390_sym16070913 crossref_primary_10_1016_j_eswa_2024_124929
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Keywords	Cardinality constraints Multi-objective evolutionary algorithms Natural frequencies of vibration Multi-objective truss structural optimization Automatic member grouping
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Snippet	Minimizing the mass of a structure and maximizing its first natural frequency of vibration are conflicting objectives of real interest in structural design. To...
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SubjectTerms	Applications of Mathematics Artificial Intelligence Bioinformatics Bridges Civil engineering Constraints Control Decision making Design Engineering Evolutionary computation Genetic algorithms Heuristic Literature reviews Mathematical and Computational Engineering Mechatronics Multiple objective analysis Objectives Optimization Resonant frequencies Review Article Robotics Sorting algorithms Statistical Physics and Dynamical Systems Structural design Topology Trusses Vibration
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Title	Solving multi-objective truss structural optimization problems considering natural frequencies of vibration and automatic member grouping
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