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Generative inverse design of steel gridshell joints with multi-objective optimisation

Man-Tai Chen, Yue Pan, Wenkang Zuo, Ou Zhao, Leroy Gardner

2026Advanced Engineering Informatics7 citationsDOIOpen Access PDF

Abstract

The design of steel gridshell joints, simultaneously minimising weight, maximising stiffness and ensuring a uniform stress distribution, is a challenging multi-objective problem. This paper presents a generative inverse design framework integrating topology optimisation (TO), data-driven surrogate modelling and multi-objective optimisation to automatically generate high-performance steel joint designs. A parametric workflow links a BESO-based TO module with a Bayesian-optimised XGBoost surrogate model for predicting joint compliance and stress variation. An NSGA-II parametric evolutionary optimiser then explores trade-offs among competing objectives, while K-means clustering extracts representative Pareto-optimal solutions. The effectiveness of the framework is validated by a case study, with the generated joints achieving up to 40% weight reduction and improved stiffness and stress uniformity relative to a conventional hollow joint. One selected design was successfully fabricated via selective laser melting 3D printing, demonstrating practical manufacturability. The proposed framework is also adaptive to other steel gridshell joint forms.

Topics & Concepts

Parametric statisticsJoint (building)StiffnessInverseWorkflowParametric designCluster analysisEngineeringReduction (mathematics)Structural engineeringComputer scienceMatching (statistics)Surrogate modelStress (linguistics)Finite element methodGenetic algorithmCluster (spacecraft)Generative DesignGenerative modelTopology optimizationInverse problemMinimum weightMechanical engineeringOptimal designParametric modelMathematical optimizationStress reductionJoint stiffnessInverse methodTopology Optimization in EngineeringAdvanced Multi-Objective Optimization AlgorithmsAeroelasticity and Vibration Control
Generative inverse design of steel gridshell joints with multi-objective optimisation | Litcius