Topology optimization of truss structure considering kinematic stability based on mixed-integer programming approach

• Published in: Structural and multidisciplinary optimization Vol. 67; no. 7; p. 112
• Main Authors: Cai, Qi, Feng, Ruoqiang, Zhang, Zhijie, Wang, Xi
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2024; Springer Nature B.V
• Subjects: Computational efficiency; Computational Mathematics and Numerical Analysis; Engineering; Engineering Design; Integer programming; Kinematics; Lateral forces; Mixed integer; Nodes; Optimization; Optimization models; Review Paper; Stability; Structural design; Theoretical and Applied Mechanics; Topology optimization; Trussed structures; Topology optimization; Truss; Kinematic stability; Mixed-integer programming

Kinematic instability due to unstable nodes is an often neglected but critical aspect of mathematical optimization models in truss topology optimization problems. On the one hand, kinematically unstable structures cannot be used in the actual structural design. On the other hand, unstable nodes with...