What does this research mean for the field?

Multi-objective optimization formulations that incorporate weight, natural frequency, critical load factor, and compliance yield more realistic optimal designs for geometrically nonlinear shallow dome structures than traditional single-objective weight minimization. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To formulate and solve multi-objective structural optimization problems for geometrically nonlinear shallow domes across multiple competing mechanical criteria.

September 5, 2026Journal of the Brazilian Society of Mechanical Sciences and EngineeringOpen Access

Multi-objective optimum design of geometrically nonlinear shallow dome structures using differential evolution-based algorithms

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Authors

JVJoão Marcos de Paula Vieira JCJosé Pedro Gonçalves Carvalho DVDênis Emanuel da Costa Vargas

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Overview

Computational study demonstrates multi-objective optimization in geometrically nonlinear shallow dome structures, highlighting improved trade-offs between weight, stability, and stiffness.

Key Points

To formulate and solve multi-objective structural optimization problems for geometrically nonlinear shallow domes across multiple competing mechanical criteria.
Formulated multi-objective frameworks incorporating structural weight, fundamental natural vibration frequency, critical load factor for global stability, and compliance.
Implemented and evaluated three multi-objective evolutionary algorithms based on differential evolution across multiple structural benchmark dome problems.
Constructed Pareto fronts delineating non-dominated trade-off solutions among structural weight, stiffness, frequency, and buckling resistance.
Demonstrated effective multi-criteria decision-making by extracting balanced, realistic structural designs from the generated Pareto-optimal sets.

Cite This Study

Vieira et al. (2026) studied this question.

synapsesocial.com/papers/6a9bd4726b95aff0620ec2ab https://doi.org/10.1007/s40430-026-06653-7

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September 5, 2026Journal of the Brazilian Society of Mechanical Sciences and EngineeringOpen Access

Multi-objective optimum design of geometrically nonlinear shallow dome structures using differential evolution-based algorithms

View Full Paper

Ask AI

Bookmark

Authors

JVJoão Marcos de Paula Vieira JCJosé Pedro Gonçalves Carvalho DVDênis Emanuel da Costa Vargas

Discussion

Member takes

Overview

Computational study demonstrates multi-objective optimization in geometrically nonlinear shallow dome structures, highlighting improved trade-offs between weight, stability, and stiffness.

Key Points

To formulate and solve multi-objective structural optimization problems for geometrically nonlinear shallow domes across multiple competing mechanical criteria.
Formulated multi-objective frameworks incorporating structural weight, fundamental natural vibration frequency, critical load factor for global stability, and compliance.
Implemented and evaluated three multi-objective evolutionary algorithms based on differential evolution across multiple structural benchmark dome problems.
Constructed Pareto fronts delineating non-dominated trade-off solutions among structural weight, stiffness, frequency, and buckling resistance.
Demonstrated effective multi-criteria decision-making by extracting balanced, realistic structural designs from the generated Pareto-optimal sets.

Cite This Study

Vieira et al. (2026) studied this question.

synapsesocial.com/papers/6a9bd4726b95aff0620ec2ab https://doi.org/10.1007/s40430-026-06653-7

View Full Paper

Ask AI

Bookmark