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<p>This paper presents an equilibrium-based method for designing member-based structural systems, which fulfills the objectives of form generation, shape optimization, and materialization. It leverages and refines three algorithms: Combinatorial Equilibrium Modelling (CEM), Vector-based Graphic Statics (VGS), and a customized materialization method. These algorithms are integrated into a workflow that commences with a modified CEM for a minimized load path form-finding within a constrained domain. The model is then transformed through VGS in a dynamic process for subjective design purposes. Finally, the material concretization method specifies and dimensions the optimized strut-and-tie model. The paper describes the initiation and termination conditions for each step. Two case studies, a virtual truss bridge and a detailed wooden tower, demonstrate the method, highlighting the merit of this interactive workflow in bridging the gap between structural engineers and architects.</p>

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An Equilibrium-Based Design Workflow for Member Structural System Integrating Combinatorial Equilibrium Modelling, Vector-Based Graphic Statics, and Material Concretization

  • 期刊论文

  • 发表日期：

    2026年5月18日

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  • Junwang Yu,
  • Xinjie Zhou,
  • Tianyi Gao,
  • Hua Chai,
  • Sylvain Rasneur,
  • Denis Zastavni,
  • Philip F. Yuan

摘要

This paper presents an equilibrium-based method for designing member-based structural systems, which fulfills the objectives of form generation, shape optimization, and materialization. It leverages and refines three algorithms: Combinatorial Equilibrium Modelling (CEM), Vector-based Graphic Statics (VGS), and a customized materialization method. These algorithms are integrated into a workflow that commences with a modified CEM for a minimized load path form-finding within a constrained domain. The model is then transformed through VGS in a dynamic process for subjective design purposes. Finally, the material concretization method specifies and dimensions the optimized strut-and-tie model. The paper describes the initiation and termination conditions for each step. Two case studies, a virtual truss bridge and a detailed wooden tower, demonstrate the method, highlighting the merit of this interactive workflow in bridging the gap between structural engineers and architects.