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2026, 04, v.48 336-348+422
地坪研磨机机器人行星齿轮传动系统构型设计与性能优化
Configuration design and performance optimization of planetary gear transmission system for floor grinding robot
基金项目(Foundation): 泉州市通用计划项目/泉州市揭榜挂帅项目(2025QZGZ06); 国家自然科学基金青年科学基金项目(52505058)
邮箱(Email): zhang_jun@fzu.edu.cn;
DOI: 10.13764/j.cnki.ncdg.2026.04.002
发布时间: 2026-08-28
出版时间: 2026-08-28
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摘要:

地坪研磨机作为现代地坪施工中的核心装备,其行星齿轮传动系统的性能直接影响整机的作业效率与使用寿命。现有设计方法在地坪研磨机构型综合与传动效率定量评价体系方面存在局限,限制了设备综合性能进一步提升。为此,本文提出一种融合图论构型综合与传动效率导向优选的地坪研磨机行星齿轮传动系统设计方法。基于图论理论,通过高副低代、无效构型筛选及拓扑规范化处理,建立初始单色拓扑图构型库;引入复合铰链与高副约束条件生成多色拓扑图,并经拓扑规范化处理后,运用规范标号法实现多色拓扑图的自动生成与筛选;基于旋量理论构建以传动效率为指标的构型优选模型,综合考虑摩擦损耗、运动特性和载荷传递特性,实现构型性能的定量对比。行星齿轮传动系统Adams仿真与理论模型的对比分析结果显示:在相同工况下,2种方法得到的传动效率变化趋势及构型优选结果呈现高度一致性,效率最大误差不超过5%,证明该设计方法可行有效。

Abstract:

As a key equipment in modern floor construction, the performance of the planetary gear transmission system in a floor grinding machine directly influences the overall operational efficiency and service life of the machine. However, existing design methodologies exhibit limitations in the configuration synthesis of floor grinders and the establishment of quantitative evaluation systems for transmission efficiency, thereby constraining further improvements in equipment performance. To address this issue, a design approach for the planetary gear transmission system of floor grinding machines was proposed, which combined graph theory-based configuration synthesis with transmission efficiency-oriented optimization. First, an initial monochromatic topological graph configuration library was established on the basis of graph theory by carrying out high-pair low-substitution, ineffective configuration screening and topological normalization. Furthermore, compound hinge and high-pair constraints were introduced to generate multi-color topological graphs, which were then normalized through topological normalization. The normalized labeling method was subsequently adopted to realize the automatic generation and screening of multi-color topological graphs. Second, a configuration optimization model taking transmission efficiency as the evaluation index was constructed based on screw theory. The model realized quantitative performance comparison of different configurations by comprehensively considering friction losses, motion characteristics, and load transfer characteristics. Finally, comparative analysis between Adams simulation and the theoretical model of the planetary gear transmission system showed that under identical operating conditions, the two approaches achieved high consistency in the variation trend of transmission efficiency and configuration optimization results, with the maximum efficiency error not exceeding 5%. The above results verified the effectiveness of the proposed method.

参考文献

[1]杜兴,曲智旭,李小兵.基于知识的齿轮减速器传动方案智能设计[J].南昌大学学报(工科版), 2024, 46(1):89-97.

[2]刘建刚,杜风娇.基于非线性规划的差速器轻量化设计[J].南昌大学学报(工科版), 2020, 42(4):381-385.

[3]邱冰,李小兵,石志新,等.一种新型1T2R并联机构的运动学及工作空间分析[J].南昌大学学报(工科版),2023, 45(3):275-281, 287.

[4]姚健康,熊根良,张驰洲.履带式机器人避障自动控制系统设计[J].南昌大学学报(工科版), 2019, 41(4):385-390.

[5]姚齐水,董鹏林,唐嘉昌,等.一种基于图论理论的大尺度连续变形机构构型综合分析方法[J].机电工程,2024, 41(6):1075-1086.

[6]郭辰昊,吴娟,丰崟楠.基于螺旋理论的大型矿用电铲构型综合研究[J].机电工程, 2022, 39(7):989-995.

[7]李团结,曹惟庆,褚金奎.齿轮连杆杆组的力分析[J].机械科学与技术, 2000, 19(5):753-754, 757.

[8]Vinjamuri V K, Kuchibhotla M R, Annambhotla B S R.Topological synthesis of epicyclic gear trains using vertex incidence polynomial[J]. Journal of Mechanical Design,2017, 139(6):062304.

[9]Vinjamuri V K, Kuchibhotla M R, Annambhotla B S R. An innovative approach to detect isomorphism in planar and geared kinematic chains using graph theory[J]. Journal of Mechanical Design, 2017, 139(12):122301.

[10]Vinjamuri V K, Kuchibhotla M R, Annambhotla B S R.Detection of degenerate structure in single degree-offreedom planetary gear trains[J]. Journal of Mechanical Design, 2017, 139(8):083302.

[11]Shanmukhasundaram V R, Rao Y V D, Regalla S P.Algorithms for detection of degenerate structure in epicyclic gear trains using graph theory[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2019,41(11):496.

[12]Shanmukhasundaram V R, Rao Y V D, Regalla S P.Enumeration of displacement graphs of epicyclic gear train from a given rotation graph using concept of building of kinematic units[J]. Mechanism and Machine Theory, 2019,134:393-424.

[13]Dong P, Zuo S M, Liu T Y, et al. A matrix-based method for searching configurations of planetary gear trains[J].Mechanism and Machine Theory, 2023, 180:105161.

[14]Cui R J, Ye Z Z, Sun L, et al. Synthesis method for planetary gear trains without using rotation graphs[J].Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,2022, 236(2):972-983.

[15]黄鹏,李长硕,丁华锋,等.液压装载机工作装置的构型综合与优选[J].机械工程学报, 2024, 60(1):220-234.

[16]张立杰,于金须,闫建华,等.基于人机共融的外骨骼机构构型综合及优选方法[J].机械工程学报, 2022,58(11):37-45.

[17]张付祥,刘再,黄风山. 3T0R类圆钢端面贴标混联机构构型优选[J].河北工业科技, 2018, 35(6):448-453.

[18]Yang Z Y, Xu X H, Wang X, et al. Optimal configuration for mobile robotic grinding of large complex components based on redundant parameters[J]. IEEE Transactions on Industrial Electronics, 2024, 71(8):9287-9296.

[19]Wang J G, Yang S N, Liu Y D, et al. Configuration design of multi-stage planetary differential gear train with double planetary gears and scheme optimization based on fuzzy analytic hierarchy process[C]//2020 5th International Conference on Electromechanical Control Technology and Transportation(ICECTT). May 15-17, 2020, Nanchang,China, Piscataway, NJ:IEEE, 2020:29-32.

[20]Ding H F, Huang Z, Mu D J. Computer-aided structure decomposition theory of kinematic chains and its applications[J]. Mechanism and Machine Theory, 2008,43(12):1596-1609.

[21]Huang Z, Ding H F. Theory of loop algebra on multi-loop kinematic chains and its application[J]. Science in China Series E:Technological Sciences, 2007, 50(4):437-447.

[22]丁华锋,黄真.平面机构统一拓扑描述模型的建立及同构判别[J].机械工程学报, 2009, 45(3):99-103.

[23]Davies T H. Kirchhoff’s circulation law applied to multiloop kinematic chains[J]. Mechanism and Machine Theory,1981, 16(3):171-183.

[24]Laus L P, Simas H, Martins D. Efficiency of gear trains determined using graph and screw theories[J]. Mechanism and Machine Theory, 2012, 52:296-325.

[25]Laus L P, Simas H, Martins D. Machine efficiency determined using graph and screw theories with application in robotics[J]. Mechanism and Machine Theory, 2020, 148:103748.

[26]Hammami M, Martins R, Abbes M S, et al. Axle gear oils:friction behaviour under mixed and boundary lubrication regimes[J]. Tribology International, 2017, 116:47-57.

基本信息:

DOI:10.13764/j.cnki.ncdg.2026.04.002

中图分类号:TP242;TH132.425

引用信息:

[1]刘宝瑾,叶根翼,吴文朴,等.地坪研磨机机器人行星齿轮传动系统构型设计与性能优化[J].南昌大学学报(工科版),2026,48(04):336-348+422.DOI:10.13764/j.cnki.ncdg.2026.04.002.

基金信息:

泉州市通用计划项目/泉州市揭榜挂帅项目(2025QZGZ06); 国家自然科学基金青年科学基金项目(52505058)

发布时间:

2026-08-28

出版时间:

2026-08-28

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