School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, People's Republic of China
Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, 110819Shenyang, People's Republic of China
[ "Dongheng Li received the BE degree in Mechanical Engineering, from Northeastern University, China, in 2024, where he is currently pursuing an academic master's degree. His current research interests include topology optimization and machine tool reliability." ]
[ "Mingfei Ma is a PhD candidate at Northeastern University, with research focusing on machine tool dynamics and reliability." ]
[ "ProfessorXianzhen Huang is a PhD Supervisor at the School of Mechanical Engineering and Automation, Northeastern University. His research primarily focuses on mechanical reliability, industrial big data, and robot mechanisms." ]
[ "Yuping Wang received the BE degree in mechanical design, manufacturing and automation from Taiyuan University of Technology, China, in 2021, and the MS degree from the School of Mechanical Engineering and Automation, Northeastern University, China, in 2024, where he is currently pursuing the PhD degree. His current research interests include prognostics and health management, stochastic process, and structure reliability." ]
[ "Zhiyuan Lu is a Master's student in Mechanical Engineering, Northeastern University." ]
[ "Peilong Li is currently studying at Northeastern University and mainly engaged in research on five-axis milling forces and its reliability." ]
收稿:2025-06-27,
修回:2025-09-27,
录用:2025-10-26,
网络首发:2025-11-05,
纸质出版:2025
移动端阅览
Dongheng Li, Mingfei Ma, Xianzhen Huang, 等. 五轴数控机床双转台的拓扑与可靠性设计优化[J]. 可靠性科学与工程学报(英文), 2025,(4):1-13.
Dongheng Li, Mingfei Ma, Xianzhen Huang, et al. Topology and reliability-based design optimization for dual rotary tables of five-axis CNC machine tools[J]. Journal of Reliability Science and Engineering, 2025, (4): 1-13.
Dongheng Li, Mingfei Ma, Xianzhen Huang, 等. 五轴数控机床双转台的拓扑与可靠性设计优化[J]. 可靠性科学与工程学报(英文), 2025,(4):1-13. DOI: 10.1088/3050-2454/ae179a.
Dongheng Li, Mingfei Ma, Xianzhen Huang, et al. Topology and reliability-based design optimization for dual rotary tables of five-axis CNC machine tools[J]. Journal of Reliability Science and Engineering, 2025, (4): 1-13. DOI: 10.1088/3050-2454/ae179a.
本文提出了一种面向五轴数控机床双转台的设计优化方案。在结构初步设计阶段,引入拓扑优化方法,以消除由经验知识等主观因素对结构构型带来的限制。在考虑随机不确定性的情况下,对经拓扑优化后的结构进一步实施基于可靠性的设计优化。可靠性指标通过蒙特卡罗模拟(MCS)计算获得,而最优结构解则借助结合自适应 Kriging 的鲸鱼优化算法,在 MCS 框架下进行迭代求解。最后,通过算例分析对优化方案的有效性进行了验证。
This paper proposes a design optimization scheme for the dual rotary table of a five-axis CNC machine tool. In the preliminary structural design
topology optimization is employed to eliminate restrictions on configurations caused by subjective factors such as empirical knowledge. Accounting for stochastic uncertainties
reliability-based design optimization is implemented on the topology-optimized structure. The reliability index is computed via Monte Carlo simulation (MCS)
while the optimal structural solution is iteratively derived using a whale optimization algorithm integrated with adaptive kriging for MCS. The effectiveness of the optimized solution is ultimately validated through case studies.
Zhang Z , Jiang F , Luo M , Wu B H , Zhang D H and Tang K 2024 Geometric error measuring, modeling, and compensation for CNC machine tools: a review Chin. J. Aeronaut. 37 163 – 98
Soori M and Asmael M 2023 Minimization of deflection error in five axis milling of impeller blades Facta Univ. Ser.: Mech. Eng. 21 175 – 90
Chu C-H , Zhou Y S , Liu E-M and Tang J Y 2022 Optimal tool path generation and cutter geometry design for five-axis CNC flank milling of spiral bevel gears J. Comput. Des. Eng. 9 2024 – 39
Makhanov S S 2022 Vector fields for five-axis machining. A survey Int. J. Adv. Manuf. Technol. 122 533 – 75
Sun S J , Zhao P , Zhang T , Li B B and Yu D 2024 Smoothing interpolation of five-axis tool path with less feedrate fluctuation and higher computation efficiency J. Manuf. Process. 109 669 – 93
Chen L J , Tang J M , Wu W Y and Wei Z S 2023 Nonlinear error compensation based on the optimization of swing cutter trajectory for five-axis machining Int. J. Adv. Manuf. Technol. 124 4193 – 208
Guo Z W , Zhang S , Shi J and Sun J H 2025 A modified method for measuring geometric errors of rotary axes based on sensitivity analysis and error simulation Measurement 242 115968
Chen Y-T , Liu C-S and Yan Y-J 2025 Synchronous measurement and verification of the position-independent geometric errors of dual rotary axes on five-axis machine tools Int. J. Precis. Eng. Manuf. 26 1411 – 29
Cui R , Ma M F , Liu H Q , Tan Z , Huang X Z and Zhang Y M 2024 Tolerance analysis of cradle-type double rotary table using the local parallel dimension chain method Int. J. Adv. Manuf. Technol. 134 5679 – 96
Tang Z W , Zhou Y S , Wang S H , Zhu J and Tang J Y 2022 An innovative geometric error compensation of the multi-axis CNC machine tools with non-rotary cutters to the accurate worm grinding of spur face gears Mech. Mach. Theory 169 104664
Cui Y Z , Liu C X , Mu H J , Jiang H , Xu F X , Liu Y F and Hu Q M 2024 Analysis of mechanical characteristics of the swing angle milling head of a heavy computer numerical control milling machine and research on the light weight of a gimbal Materials 17 324
Li J K , Hu K F , Zhang X , Qian Y B , Zhao J and Feng Q B 2025 Method for simultaneously measuring four-degree-of-freedom geometric errors of a rotary axis based on circular grating Opt. Express 33 10649 – 59
Hao P , Wang Y , Jin L Z , Ma S H and Wang B 2023 An isogeometric design-analysis-optimization workflow of stiffened thin-walled structures via multilevel NURBS-based free-form deformations (MNFFD) Comput. Methods Appl. Mech. Eng. 408 115936
Meng Z , Luo X H and Zhou H L 2022 Lightweight design of arcuately stiffened cylindrical shells based on smeared stiffener method and active learning strategy Thin-Walled Struct. 174 109167
Pham H-A , Tran H-Q , Tran M-T , Nguyen V-L and Huong Q-T 2022 Free vibration analysis and optimization of doubly-curved stiffened sandwich shells with functionally graded skins and auxetic honeycomb core layer Thin-Walled Struct. 179 109571
Jiang X D , Liu C , Du Z L , Huo W D , Zhang X Y , Liu F and Guo X 2022 A unified framework for explicit layout/topology optimization of thin-walled structures based on Moving Morphable Components (MMC) method and adaptive ground structure approach Comput. Methods Appl. Mech. Eng. 396 115047
Li Y , Gao T , Zhou Q Y , Chen P , Yin D Z and Zhang W H 2023 Layout design of thin-walled structures with lattices and stiffeners using multi-material topology optimization Chin. J. Aeronaut. 36 496 – 509
Yoshimura M and Izui K 2002 Smart optimization of machine systems using hierarchical genotype representations J. Mech. Des. 124 375 – 84
Cui M T , Cui W N , Li W and Wang X B 2024 A polygonal topology optimization method based on the alternating active-phase algorithm Electron. Res. Arch. 32 1191 – 226
Liu H Y , Qiu Z , Shi J , Sun J H and Zhang S 2025 Ground structure method-based stiffener layout topology optimization for horizontal machining center headstock cover plate Comput. Struct. 307 107633
Veluswamy A , Venugopal P R , Mani K , Palanisamy D , Marikrishnan T and Arunachalam A T 2024 Topology optimization-based design, development and testing of steel-reinforced epoxy granite vertical machining centre column Proc. Inst. Mech. Eng. L 238 1005 – 20
Hao Y P , Zhu L D , Yan B L , Ren T Y , Zhao J Z , Ning X F and Lu H 2023 Stiffness design and multi-objective optimization of machine tool structure based on biological inspiration J. Vib. Control 29 2774 – 88
Audibert C , Chaves-Jacob J , Linares J-M and Lopez Q-A 2018 Bio-inspired method based on bone architecture to optimize the structure of mechanical workpieces Mater. Des. 160 708 – 17
Yeh T P and Vance J M 1998 Applying virtual reality techniques to sensitivity-based structural shape design J. Mech. Des. 120 612 – 9
Shan W C , Ding Y and Zhou J W 2022 Automatic structural optimization design using sensitivity-based method Structures 46 99 – 108
Ma M F , Liu H Q , Wu X J , Tan Z , Huang X Z and Zhang Y M 2025 Global reliability sensitivity analysis of cradle-type double rotary table Proc. Inst. Mech. Eng. C 239 1492 – 505
Meng Z , Guo L B and Wang X 2022 A general fidelity transformation framework for reliability-based design optimization with arbitrary precision Struct. Multidiscip. Optim. 65 14
Lu L , Wu Y Z , Zhang Q and Qiao P A 2023 Transformation-based improved Kriging method for the black box. Problem in reliability-based design optimization mathematics Mathematics 11 218
Meng Z , Yildiz A R and Mirjalili S 2022 Efficient decoupling-assisted evolutionary/metaheuristic framework for expensive reliability-based design optimization problems Expert Syst. Appl. 205 117640
Jiang Z Y , Huang X Z , Ding P F , Liu H Z and Ge Y 2023 Reliability-based design optimization of the spiral water jacket for motorized spindle Case Stud. Therm. Eng. 51 103665
Benzley S E , Perry E , Clark B and Sjaardama G 1995 A comparison of all hexagonal and all tetrahedral finite element meshes for elastic and elasto-plastic analysis Proc. 4th Int. Meshing Roundtable. Albuguergue: Sandia National Laboratories pp 179 – 91
Sigmund O and Petersson J 1998 Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima Struct. Multidiscip. Optim. 16 68 – 75
Jiang C , Qiu H B , Gao L , Wang D P , Yang Z and Chen L M 2020 Real-time estimation error-guided active learning Kriging method for time-dependent reliability analysis Appl. Math. Modelling 77 82 – 98
Wang X , Jiang Z Y , Huang X Z , Sun L S and Wang Y P 2025 Surface topography prediction and reliability analysis of ball end milling Measurement 242 115770
Ma M F , Huang X Z , Liu H Q , Wu X J , Hua C L and Zhang Y M 2025 Reliability-based design optimization of a cradle-type double rotary table for 5-axis machining center Mech. Based Des. Struct. Mach. 1 – 25
Echard B , Gayton N and Lemaire M 2011 AK-MCS: an active learning reliability method combining Kriging and Monte Carlo simulation Struct. Saf. 33 145 – 54
Mirjalili S and Lewis A 2016 The whale optimization algorithm Adv. Eng. Softw. 95 51 – 67
Nadimi-Shahraki M H , Zamani H , Varzaneh Z and Mirjalili S 2023 A systematic review of the whale optimization algorithm: theoretical foundation, improvements, and hybridizations Arch. Comput. Methods Eng. 30 4113 – 59
Osama A et al 2023 Optimal placement and sizing of capacitor banks in radial distribution systems using the whale optimization algorithm 2023 IEEE PES Conf. on Innovative Smart Grid Technologies, ISGT Middle East
Jafari-Asl J , Ben Seghier M E A , Ohadi S and van Gelder P 2021 Efficient method using whale optimization algorithm for reliability-based design optimization of labyrinth spillway Appl. Soft Comput. 101 107036
Wang Y P , Chang M X , Huang X Z , Li Y X and Tang J W 2023 Cutting tool wear prediction based on the multi-stage Wiener process Int. J. Adv. Manuf. Technol. 129 5319 – 33
Wang H , Zhang Y M , Yang Z and Wang W 2018 Investigation on the multifactor reliability allocation method for CNC lathes based on modified criticality and objective Proc. Inst. Mech. Eng. C 232 1647 – 56
关联资源
相关文章
相关作者
相关机构
京公网安备11010802024621