Hot isostatic pressing (HIP) equipment relies on cylindrical gas containers reinforced with prestressed wires to withstand high internal pressures. Traditionally, the design of these wire-wound cylinders has largely depended on engineering experience, and often neglecting the effects of thermal stress, which limits the ability to achieve optimal design. To address this challenge, this study proposes an automated optimization framework based on the penalty method, systematically considering key design requirements including static strength, stability, and thermo-mechanical coupled performance. The optimization problem, involving multiple design variables and constraints, is solved using Differential Evolution (DE) and Non-dominated Sorting Genetic Algorithm (NSGA-II) to identify optimal wire-winding configurations. A representative optimized cylinder satisfying strength, buckling, and thermal requirements is verified through finite element analysis. Results show excellent agreement with analytical predictions, with coefficients of determination exceeding 0.99 and most relative errors well below 15%. The proposed framework provides a valid and practical tool for the intelligent design of HIP cylinders, enabling improved performance and material efficiency in engineering applications.
Huang et al. (Sun,) studied this question.