Research Article

Simultaneous Size, Shape and Topology Optimization of Truss Structures using the PSOSCALF Algorithm

Volume: 8 Number: 2 December 5, 2025
Reza Najafi *, Ali Zabihi , Reza Ansari

Simultaneous Size, Shape and Topology Optimization of Truss Structures using the PSOSCALF Algorithm

Abstract

The development of truss optimization approaches is one of the most essential structural engineering issues that recently attracts the attention of researchers. These approaches include size optimization, shape optimization, and topology optimization distinctly. In addition, the size, shape, and topology (SST) optimization is presented simultaneously. In previous researches, the choice of several different topologies was made individually to optimize the shape of the structure, which led to enhancing the computational cost and the time needed for the operation. Presented herein, a new optimization method of the SST optimization is introduced based on the PSOSCALF algorithm. The truss optimization procedure is started from a fixed initial configuration and, as it evolves, approaches its optimal shape. The considered constraints including stability, kinematics, tensile, and compression stresses in elements, and displacement in nodes, buckling for compression members that are used to optimize the SST of the 2D and 3D trusses. For evaluating, the outcomes are compared with the meta-heuristics algorithms presented in recent years such as Moth-Flame Optimization (MFO), Harris Hawks Optimization (HHO), Whale Optimization Algorithm (WOA), Water Cycle Algorithm (WCA), Teaching-Learning-Based Optimization (TLBO), Random learning mechanism-Particle Swarm Optimization-Levy Flight (RPSOLF), and Autonomous-Groups-Particles Swarm Optimization (AGPSO). The outcomes verify the supremacy of the PSOSCALF-based truss optimization in comparison with the mentioned algorithms.

Keywords

Size , Shape , and Topology Truss Optimization; Single Objective Optimization; Static Constraints; Meta-Heuristic Algorithms; PSOSCALF Algorithm

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IEEE
[1]R. Najafi, A. Zabihi, and R. Ansari, “Simultaneous Size, Shape and Topology Optimization of Truss Structures using the PSOSCALF Algorithm”, International Journal of Data Science and Applications, vol. 8, no. 2, pp. 62–100, Dec. 2025, [Online]. Available: https://izlik.org/JA69SY66LZ