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Z. Li, C. Zhang, C. Ma, T. Gao, L. Meng, W. Zhang, "Topology Optimization of Thermo-Elastic Cyclic-Symmetric Structures Considering Mean Stress Constraints", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 3.7, 2025,

Keywords: topology optimization, mean stress constraints, burst speed, cyclic-symmetric structures, relaxation strategy, sensitivity analysis.

Abstract

The thermo-elastic cyclic-symmetric structures such as turbine disks in aerospace engines operate under complex loading conditions, requiring precise burst speed analysis to balance safety and lightweight design. This study introduces a novel topology optimization framework that integrates mean circumferential/radial stress constraints derived from burst speed requirements, addressing the limitations of conventional retrospective validation methods. By transforming rotational speed constraints into equivalent stress limits, the approach proactively optimizes material distribution while considering multi-physics coupling. Key techniques include the coordinate transformation for stress analysis, adjoint-based sensitivity analysis, and advanced relaxation strategy of stress-based constraints. A numerical case of an annular structure validates the method: compared to unconstrained optimization, the proposed framework reduces the mean stress by 8.87% while maintaining structural compliance within a 30% volume fraction constraint. Optimized designs exhibit branching structures that effectively redistribute stress concentrations. This work bridges theoretical burst speed analysis with proactive topology optimization, offering a systematic solution to enhance cyclic-symmetric structures safety margins and material efficiency.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 10 PROCEEDINGS OF THE EIGHTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 3.7 Topology Optimization of Thermo-Elastic Cyclic-Symmetric Structures Considering Mean Stress Constraints Z. Li¹, C. Zhang^1,2, C. Ma², T. Gao¹, L. Meng¹ and W. Zhang¹ ¹State IJR Center of Aerospace Design and Additive Manufacturing, Northwestern Polytechnical University, Xi’an, China ², AECC Sichuan Gas Turbine Establishment, Chengdu, China Full Bibliographic Reference for this paper Z. Li, C. Zhang, C. Ma, T. Gao, L. Meng, W. Zhang, "Topology Optimization of Thermo-Elastic Cyclic-Symmetric Structures Considering Mean Stress Constraints", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 3.7, 2025, Keywords: topology optimization, mean stress constraints, burst speed, cyclic-symmetric structures, relaxation strategy, sensitivity analysis. Abstract The thermo-elastic cyclic-symmetric structures such as turbine disks in aerospace engines operate under complex loading conditions, requiring precise burst speed analysis to balance safety and lightweight design. This study introduces a novel topology optimization framework that integrates mean circumferential/radial stress constraints derived from burst speed requirements, addressing the limitations of conventional retrospective validation methods. By transforming rotational speed constraints into equivalent stress limits, the approach proactively optimizes material distribution while considering multi-physics coupling. Key techniques include the coordinate transformation for stress analysis, adjoint-based sensitivity analysis, and advanced relaxation strategy of stress-based constraints. A numerical case of an annular structure validates the method: compared to unconstrained optimization, the proposed framework reduces the mean stress by 8.87% while maintaining structural compliance within a 30% volume fraction constraint. Optimized designs exhibit branching structures that effectively redistribute stress concentrations. This work bridges theoretical burst speed analysis with proactive topology optimization, offering a systematic solution to enhance cyclic-symmetric structures safety margins and material efficiency. download the full-text of this paper (PDF, 20 pages, 1124 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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