Integrated design algorithm for branching structures with double-trunk: a case study

doi:10.1080/17452007.2025.2459657

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Integrated design algorithm for branching structures with double-trunk: a case study

2025-02-03

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Pingping Lu

Duo Yu

Zhongwei Zhao *

DOI：10.1080/17452007.2025.2459657

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Abstract

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The form-fingding of branching structures has always been solved by inverse-hanging method which is always conducted through experiment. However, this method is not suitable for branching structures in large scale. It will be better if the numerical form-finding method can be propsoed. This paper employs multiple target optimization algorithms to generate the form of the multi-support branching structure. The multiobjective optimization algorithm consists of three sub-algorithms: the form-finding sub-algorithm, the sub-algorithm for optimizing stable bearing capacity, and the sub-algorithm for topology optimization. The form-finding analysis sub-algorithm is implemented based on the force density method, the stable bearing capacity sub-algorithm relies on the Euler stable bearing capacity to adjust the force density value of each member, and the topology optimization sub-algorithm is designed to treat the section as a variable, enabling the structure to autonomously select efficient components for load transfer. The research results presented in this paper lay the groundwork for the intelligent design of multi-supported tree structures.

Keywords:

Force density method

branching structure

topology optimization

stable bearing capacity optimization

section optimization