Journal of Northeastern University(Natural Science) ›› 2025, Vol. 46 ›› Issue (5): 87-94.DOI: 10.12068/j.issn.1005-3026.2025.20230320
• Mechanical Engineering • Previous Articles Next Articles
Xian-zhen HUANG1,2(), Ming-fei MA1, Zhi-yuan JIANG1, Kai-hui QIU3
Received:
2023-11-30
Online:
2025-05-15
Published:
2025-08-07
Contact:
Xian-zhen HUANG
CLC Number:
Xian-zhen HUANG, Ming-fei MA, Zhi-yuan JIANG, Kai-hui QIU. Reliability Optimization of CNC Machine Tool Rotary Tables[J]. Journal of Northeastern University(Natural Science), 2025, 46(5): 87-94.
零件 | 材料 | 质量/kg |
---|---|---|
工作台板 | HT300 | 188 |
回转座 | HT300 | 150 |
滑座 | HT300 | 580 |
鼠牙盘 | 38CrMoAlA | 20×2 |
分油轴 | 45钢 | 13.7 |
活塞 | 45钢 | 39 |
油缸体 | 45钢 | 62 |
油缸端盖 | 45钢 | 5.6 |
蜗轮 | ZQSn10-1 | 29.6 |
蜗杆 | 38CrMoAlA | 9.2 |
转台轴承 | GCR15SiMn | 25 |
Table 1 Main structure and material properties of the rotary table
零件 | 材料 | 质量/kg |
---|---|---|
工作台板 | HT300 | 188 |
回转座 | HT300 | 150 |
滑座 | HT300 | 580 |
鼠牙盘 | 38CrMoAlA | 20×2 |
分油轴 | 45钢 | 13.7 |
活塞 | 45钢 | 39 |
油缸体 | 45钢 | 62 |
油缸端盖 | 45钢 | 5.6 |
蜗轮 | ZQSn10-1 | 29.6 |
蜗杆 | 38CrMoAlA | 9.2 |
转台轴承 | GCR15SiMn | 25 |
参数 | 分布类型 | 初始值/mm | 变异系数 |
---|---|---|---|
A1 | 正态分布 | 490 | 0.02 |
A2 | 正态分布 | 20 | 0.02 |
B1 | 正态分布 | 130 | 0.02 |
C1 | 正态分布 | 22.5 | 0.02 |
C2 | 正态分布 | 14 | 0.02 |
C3 | 正态分布 | 36 | 0.02 |
D1 | 正态分布 | 103 | 0.02 |
D2 | 正态分布 | 25 | 0.02 |
D3 | 正态分布 | 35.5 | 0.02 |
D4 | 正态分布 | 128 | 0.02 |
D5 | 正态分布 | 70 | 0.02 |
D6 | 正态分布 | 30 | 0.02 |
D7 | 正态分布 | 45 | 0.02 |
D8 | 正态分布 | 30 | 0.02 |
D9 | 正态分布 | 125 | 0.02 |
Table 2 Initial values and distribution details of the design variables
参数 | 分布类型 | 初始值/mm | 变异系数 |
---|---|---|---|
A1 | 正态分布 | 490 | 0.02 |
A2 | 正态分布 | 20 | 0.02 |
B1 | 正态分布 | 130 | 0.02 |
C1 | 正态分布 | 22.5 | 0.02 |
C2 | 正态分布 | 14 | 0.02 |
C3 | 正态分布 | 36 | 0.02 |
D1 | 正态分布 | 103 | 0.02 |
D2 | 正态分布 | 25 | 0.02 |
D3 | 正态分布 | 35.5 | 0.02 |
D4 | 正态分布 | 128 | 0.02 |
D5 | 正态分布 | 70 | 0.02 |
D6 | 正态分布 | 30 | 0.02 |
D7 | 正态分布 | 45 | 0.02 |
D8 | 正态分布 | 30 | 0.02 |
D9 | 正态分布 | 125 | 0.02 |
参数 | 区间/mm | 参数 | 区间/mm |
---|---|---|---|
A1 | 460~570 | D3 | 20~50 |
A2 | 5~30 | D4 | 115~145 |
B1 | 70~150 | D5 | 60~80 |
C1 | 10~80 | D6 | 20~40 |
C2 | 5~32 | D7 | 35~55 |
C3 | 5~50 | D8 | 15~45 |
D1 | 80~115 | D9 | 80~130 |
D2 | 20~40 |
Table 3 Optimization intervals of design variables
参数 | 区间/mm | 参数 | 区间/mm |
---|---|---|---|
A1 | 460~570 | D3 | 20~50 |
A2 | 5~30 | D4 | 115~145 |
B1 | 70~150 | D5 | 60~80 |
C1 | 10~80 | D6 | 20~40 |
C2 | 5~32 | D7 | 35~55 |
C3 | 5~50 | D8 | 15~45 |
D1 | 80~115 | D9 | 80~130 |
D2 | 20~40 |
变量 | 无优化 | 确定性优化 | 可靠性优化 |
---|---|---|---|
A1/mm | 490 | 537.922 | 538.236 |
A2/mm | 20 | 18.000 | 18.191 |
B1/mm | 130 | 138.480 | 140.000 |
C1/mm | 22.5 | 48.275 | 68.082 |
C2/mm | 14 | 24.961 | 25.000 |
C3/mm | 36 | 15.968 | 15.636 |
D1/mm | 103 | 80.000 | 80.000 |
D2/mm | 25 | 37.538 | 27.536 |
D3/mm | 35.5 | 20.000 | 21.276 |
D4/mm | 128 | 130.932 | 148.201 |
D5/mm | 70 | 60.750 | 60.152 |
D6/mm | 30 | 20.143 | 20.001 |
D7/mm | 45 | 35.486 | 35.995 |
D8/mm | 30 | 24.068 | 18.437 |
D9/mm | 125 | 103.489 | 123.492 |
变形/mm | 0.020 | 0.020 | 0.020 |
质量/t | 0.960 | 0.878 | 0.881 |
可靠性/% | 49.11 | 60.95 | 90.35 |
Table 4 Comparison of the optimization results
变量 | 无优化 | 确定性优化 | 可靠性优化 |
---|---|---|---|
A1/mm | 490 | 537.922 | 538.236 |
A2/mm | 20 | 18.000 | 18.191 |
B1/mm | 130 | 138.480 | 140.000 |
C1/mm | 22.5 | 48.275 | 68.082 |
C2/mm | 14 | 24.961 | 25.000 |
C3/mm | 36 | 15.968 | 15.636 |
D1/mm | 103 | 80.000 | 80.000 |
D2/mm | 25 | 37.538 | 27.536 |
D3/mm | 35.5 | 20.000 | 21.276 |
D4/mm | 128 | 130.932 | 148.201 |
D5/mm | 70 | 60.750 | 60.152 |
D6/mm | 30 | 20.143 | 20.001 |
D7/mm | 45 | 35.486 | 35.995 |
D8/mm | 30 | 24.068 | 18.437 |
D9/mm | 125 | 103.489 | 123.492 |
变形/mm | 0.020 | 0.020 | 0.020 |
质量/t | 0.960 | 0.878 | 0.881 |
可靠性/% | 49.11 | 60.95 | 90.35 |
[1] | Kroll L, Blau P, Wabner M, et al. Lightweight components for energy-efficient machine tools[J]. CIRP Journal of Manufacturing Science and Technology, 2011, 4(2): 148-160. |
[2] | Bok H L, Han J O, Hwan C O, et al. Structural design optimization of the rotary table of a floor type boring machine for minimum weight and compliance by using GA[J]. Applied Mechanics and Materials, 2012, 271/272: 1421-1426. |
[3] | Deng H X, Zhao L, Ma J F, et al. Structural bionic design for high-speed machine tool working table based on distribution rules of leaf veins[J]. Science China Technological Sciences, 2012, 55(8): 2091-2098. |
[4] | Gao Q D, Zhang F, Mao Y Z, et al. Application of honeycomb structure in machine tool table[J]. Advanced Materials Research, 2011, 1377: 1233-1237. |
[5] | Zhao H W, Cheng L Y, Xiao P X, et al. Layout design of stiffened plates for large-scale box structure under moving loads based on topology optimization[J]. Mathematical Problems in Engineering, 2020, 2020: 1-11. |
[6] | Zheng B, Ying G F, Huang H, et al. Optimization design for fixed table of gantry machining center based on sensitivity and topology analyses[J]. Journal of Donghua University, 2013, 30(4): 263-268. |
[7] | 郭垒,张辉,叶佩青,等.基于灵敏度分析的机床轻量化设计[J].清华大学学报(自然科学版), 2011,51(6): 846-850. |
Guo Lei, Zhang Hui, Ye Pei-qing, et al. Lightweight design of machine tools based on sensitivity analysis [J]. Journal of Tsinghua University (Natural Science), 2011, 51(6): 846-850. | |
[8] | 刘成颖,谭锋,王立平,等.面向机床整机动态性能的立柱结构优化设计研究[J].机械工程学报,2016,52(3):161-168. |
Liu Cheng-ying, Tan Feng, Wang Li-ping, et al. Research on optimal design of column structure for the dynamic performance of machine tools [J]. Transactions of the Chinese Society of Mechanical Engineering, 2016, 52(3): 161-168. | |
[9] | 姜衡,管贻生,邱志成,等.基于响应面法的立式加工中心动静态多目标优化[J].机械工程学报,2011,47(11): 125-133. |
Jiang Heng, Guan Yi-sheng, Qiu Zhi-cheng, et al. Dynamic and static multi-objective optimization of vertical machining center based on response surface method [J]. Transactions of the Chinese Society of Mechanical Engineering, 2011, 47(11): 125-133. | |
[10] | Wu B C, Young G S, Huang T Y. Application of a two-level optimization process to conceptual structural design of a machine tool[J]. International Journal of Machine Tools and Manufacture, 2000, 40(6): 783-794. |
[11] | Jiang Z Y, Huang X Z, Ding P F, et al. Reliability-based design optimization of the spiral water jacket for motorized spindle[J]. Case Studies in Thermal Engineering, 2023, 51: 103665. |
[12] | Chen J, Qiu H B, Gao L, et al. Real-time estimation error-guided active learning Kriging method for time-dependent reliability analysis[J]. Applied Mathematical Modelling, 2020, 77(1): 82-98. |
[13] | Ma M F, Liu H Q, Wu X J, et al. Global reliability sensitivity analysis of cradle-type double rotary table[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2025, 239(5): 1492-1505. |
[14] | Sun Z L, Wang J, Li R, et al. LIF: a new Kriging based learning function and its application to structural reliability analysis[J]. Reliability Engineering and System Safety, 2017, 157: 152-165. |
[15] | Mirjalili S, Lewis A. The whale optimization algorithm[J]. Advances in Engineering Software, 2016, 95: 51-67. |
[16] | Ohadi S, Jafari-Asl J. Multi-objective reliability-based optimization for design of trapezoidal labyrinth weirs[J]. Flow Measurement and Instrumentation, 2021, 77: 101787. |
[17] | Verma S K, Tiwari R. Robust optimum design of tapered roller bearings based on maximization of fatigue life using evolutionary algorithm[J]. Mechanism and Machine Theory, 2020, 152: 103894. |
[18] | Jafari-Asl J, Seghier M E A B, Ohadi S, et al. Efficient method using whale optimization algorithm for reliability-based design optimization of labyrinth spillway[J]. Applied Soft Computing, 2021, 101: 107036. |
[1] | Xian-zhen HUANG, Xu WANG, Peng-fei DING, Zhi-yuan JIANG. Reliability Optimization of Process Parameters Considering Milling Surface Morphology [J]. Journal of Northeastern University(Natural Science), 2025, 46(3): 80-87. |
[2] | Zhong LUO, Yong-heng LUO, Xin XIONG, Fa-yong WU. Analysis of Influence of Assembly Process Parameters on Mechanical Properties of Bolted Joint with Spigots [J]. Journal of Northeastern University(Natural Science), 2024, 45(9): 1268-1276. |
[3] | Han-sheng SONG, Hui MA, Zi-meng LIU, Wen-kang HUANG. Meshing Characteristics Analysis of Spiral Bevel Gear Pairs with Different Crack Types [J]. Journal of Northeastern University(Natural Science), 2024, 45(8): 1096-1106. |
[4] | Yan WANG, Zhe-chao WANG, Chang-hao LI, Peng CUI. Shear Performance of Headed Studs in UHPC Containing Small Coarse Aggregates [J]. Journal of Northeastern University(Natural Science), 2024, 45(11): 1604-1611. |
[5] | Qian BAI, Wen ZHAO, Wen-xin CAO, Yan-jun LU. Study on Deformation Response Caused by Large-Section Excavation Under the Support of Pipe-Roof and Beam [J]. Journal of Northeastern University(Natural Science), 2024, 45(1): 129-136. |
[6] | XU Hong-yang, YANG Yang, WANG Peng-fei, MA Hui. Stiffness Fluctuation Characteristics of Ball Bearings with Misalignment and Ball Distribution Error [J]. Journal of Northeastern University(Natural Science), 2023, 44(3): 382-391. |
[7] | LI Shou-tao, WEI Yu-bo, LI Qiu-yuan, YU Ding-li. MPC Stability Control Method Considering the Variation of Vehicle′s Cornering Stiffness [J]. Journal of Northeastern University(Natural Science), 2023, 44(2): 162-167. |
[8] | HUANG Xian-zhen, ZHANG Peng, LI Hong-lei, LYU Zhong. Probability Analysis of Zero Clearance Position of Wind Turbine Spindle Bearings [J]. Journal of Northeastern University(Natural Science), 2023, 44(10): 1440-1447. |
[9] | LUO Zhong , LIU Jia-xi , LIU Kai-ning , SUN Kai. Analysis of Dynamic Stiffness of the Elastic Ring Support Structure and Its Influence on the Rotor System [J]. Journal of Northeastern University(Natural Science), 2022, 43(5): 667-673. |
[10] | HUANG Xian-zhen, SUN Liang-shi, DING Peng-fei, ZHU Hui-bin. Optimization of Turning Parameters of GH4169 Based on Reliability [J]. Journal of Northeastern University(Natural Science), 2022, 43(5): 696-702. |
[11] | GAO Xing, WANG Wei-yu, JIA Jin-qing. Coupled Creep Behavior in Steel Frame-Anchor Cables-Rock and Soil Mass [J]. Journal of Northeastern University(Natural Science), 2022, 43(12): 1792-1799. |
[12] | MA Hui, GAO Ang, YANG Tian-rui, GUAN Hong. Influence of Rabbets and Bolts on Static Characteristics of Flange Structures [J]. Journal of Northeastern University(Natural Science), 2022, 43(10): 1438-1445. |
[13] | YANG Zhou, PAK Un-song, KWON Chol-u. Gradual Reliability Sensitivity Analysis of Thermal-Mechanical Coupling of Disc Brakes [J]. Journal of Northeastern University(Natural Science), 2022, 43(1): 48-56. |
[14] | JIA Peng-jiao, SHI Pei-xin, GUAN Yong-ping, ZHAO Wen. Calculation Model of Flexural Stiffness of STS Structure and Parameters Optimization [J]. Journal of Northeastern University(Natural Science), 2021, 42(8): 1159-1165. |
[15] | MA Hui, YU Ming-yue, GAO Ang, ZHAO Chen-guang. Dynamic Modeling Method of Bolted Joint Interfaces Based on Nonlinear Transversely Isotropic Virtual Material [J]. Journal of Northeastern University(Natural Science), 2021, 42(8): 1111-1119. |
Viewed | ||||||
Full text |
|
|||||
Abstract |
|
|||||