Topology optimization algorithm for spatial truss based on numerical inverse hanging method

This paper explores the use of the numerical inverse hanging method to optimize spatial truss structures. It proposes an optimization algorithm and establishes a corresponding numerical model. The algorithm consists of a form-finding algorithm based on the numerical inverse hanging method and a topology optimization algorithm that uses the maximum stress design principle. Component length optimization considers the characteristics of cross-sections and internal forces. The cross-sectional area of the component is automatically determined based on internal forces and design strength, enhancing the stable load-bearing capacity of the components. The model is optimized using the algorithm, resulting in a significant increase in axial forces in the internally effective truss members. Bending moments have a negligible impact compared to axial forces, minimally affecting the structure. The study analyzes form-finding results for various ground structures within the same design domain, considering the impact of different boundary conditions on the final outcomes. The results indicate that altering the ground structure does not affect the topology of the spatial truss structure. However, changing the boundary conditions leads to variations in the final form-finding results, affirming the stability and robust applicability of the algorithm. This algorithm offers an efficient and precise approach to form-finding challenges in spatial truss structures, presenting novel perspectives for further research in this domain.