Topology optimization method of truss structures considering length constraints

This paper proposes an efficient method for topology optimization of truss structure, integrating form-finding with considers the length constraints optimization. The approach utilizes the force density method based on geometric nonlinear analysis for form-finding and incorporates topology optimization using the ground structure method. The length constraints, derived from the Euler buckling formula, ensure structural stability under vertical loads. During each iteration, the constraint equations are updated based on the finite element analysis results and the structural stability and load-bearing performance are optimized. Several case studies demonstrate the method's effectiveness, providing a valuable tool for conceptual design of truss structures.