Utilizing generalized optimality criteria method for optimal structural design under design-dependent pressure loads

Articles in Press

Document Type : Research Paper

Authors
Saeed Abedini
Ali Ghoddosian
Faculty of Mechanical Engineering, Semnan University, Semnan, Iran
10.22075/ijnaa.2025.38344.5508
Abstract
This paper presents a topology optimization framework for continuum structures subjected to design-dependent pressure loads (DDPLs). Unlike fixed external loads, DDPLs change in location, magnitude, and direction as the structural layout evolves, introducing significant challenges in load modeling and numerical stability. To address this issue, the Boundary Identification–Load Evolution (BILE) model is employed to accurately impose evolving surface pressure loads throughout the optimization process. The proposed framework integrates the BILE model with a Generalized Optimality Criteria Method (GOCM), offering a robust alternative to the classical Optimality Criteria Method (OCM). GOCM provides greater flexibility in handling constraints and enhances convergence properties. The SIMP-based material interpolation is used, and structural compliance is minimized under a volume constraint using adjoint sensitivity analysis and density filtering. Two benchmark examples are presented to compare the performance of GOCM and OCM under identical DDPL conditions. Quantitative results show that GOCM achieves up to 21.35\% lower compliance, reduces computational time by 45.68\%, and requires significantly fewer iterations compared to OCM, while maintaining solution quality. These results confirm that GOCM not only improves numerical efficiency but also enhances the stability and effectiveness of topology optimization under complex, evolving load boundaries. The proposed approach offers a reliable and computationally efficient method for advanced structural design problems involving design-dependent loading, with promising applicability in high-performance engineering systems.
Keywords
Topology optimization
design-dependent pressure loading
generalized optimality criteria method
OCM
BILE model
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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 03 August 2026

  • Receive Date 22 July 2025
  • Revise Date 12 September 2025
  • Accept Date 12 November 2025