Configuration Synthesis of Planetary Shifting Mechanisms Based on Analysis of Topology Characteristics Variation

doi:10.3969/j.issn.1004-132X.2020.21.006

Abstract

Abstract: The feasible schedules of planetary shifting mechanisms were various, which consisted of several planetary gear sets and operation elements to meet the demands of the default gear number and each transmission ratio. Aiming at this problem, a configuration synthesis method of planetary shifting mechanisms was proposed based on the analysis of topology characteristics variation. According to the composition principles of planetary shifting mechanisms, the design criteria of planetary group and clutch group models were established. In the sense of relative speed, components and correlation functions adjacency matrixes of planetary shifting mechanisms were both defined. The mathematical models of configuration evolution were deduced. It was realized to recognize the topological characteristics of some special configurations automatically. And the component group models which met the requirements of predetermined gear number was constructed. The topological evolution characteristics of different configuration states were revealed. And a method of calculating the characteristic parameters of planetary shifting mechanisms and distinguishing the component attributes was proposed to realize the configuration synthesis of planetary shifting mechanisms. Eventually, a design example was given to verify the effectiveness and accuracy of the proposed method.

Key words: planetary shifting mechanism, topology characteristic, configuration synthesis, metamorphic theory, matrix analysis method

摘要： 针对用多个行星排和操纵元件组成预设挡位数和传动比的可行变速机构方案繁多的特征，提出了一种基于拓扑特征演化分析的行星变速机构构型综合方法。根据行星变速机构的基本构件组成，建立了行星排组和离合器组模型的设计准则，定义了相对转速意义下行星变速机构的构件和关联函数邻接矩阵，推导了构态演变的数学模型，实现了特殊构态拓扑特征的自动识别，构建了满足预设挡位数要求的构件组模型。在揭示不同构态拓扑演化特征的基础上，提出行星变速机构特性参数计算和构件属性判别的方法，实现了行星变速机构的构型综合。最后通过设计实例验证了所提方法的有效性和准确性。

关键词: 行星变速机构, 拓扑特征, 构型综合, 变胞理论, 矩阵分析方法

CLC Number:

U463.2
TH132

FU Shengping1;HUANG Hanlin2;MING Wei2.

Configuration Synthesis of Planetary Shifting Mechanisms Based on Analysis of Topology Characteristics Variation

[J]. China Mechanical Engineering, DOI: 10.3969/j.issn.1004-132X.2020.21.006.

符升平1;黄瀚林2;明伟2. 拓扑特征演化分析下行星变速机构构型综合[J]. 中国机械工程, DOI: 10.3969/j.issn.1004-132X.2020.21.006.

References

［1］张武翔，丁希仑，戴建生. 基于约束变化特征分析的变胞机构构型综合方法［J］. 机械工程学报，2013, 49(5):1-9.

ZHANG Wuxiang, DING Xilun, DAI Jiansheng. Method for Configuration Synthesis of Metamorphic Mechanisms Based on Constraint Variation ［J］. Journal of Mechanical Engineering, 2013, 49(5):1-9.

［2］ZHANG Ketao，DAI Jiangsheng，FANG Yuefa．Topology and Constraint Analysis of Phase Change in the Metamorphic Chain and Its Evolved Mechanism ［J］. ASME Transaction Journal of Mechanical Design, 2010, 132(12):121001.

［3］GAN Dongming， DAI Jiansheng， LIAO Qizheng. Mobility Change in Two Types Metamorphic Parallel Mechanisms ［J］. ASME Transaction Journal of Mechanisms and Robotics, 2009, 1(4):041007.

［4］谭桂辉，何国旗. 车辆变速器机械传动研究状况［J］. 株洲工学院学报, 2006, 20(4):49-52.

TAN Guihui, HE Guoqi. A Study on the Development of Mechanical Drive of Vehicle Transmission ［J］. Journal of Zhuzhou Institute of Technology, 2006, 20(4):49-52.

［5］刘太来. 用计算机实现多排三自由度行星变速箱综合法［J］. 兵工学报, 1984, 3(1):49-56.

LIU Tailai. The Synthesis Method of Multi-row Planetary Gearbox with Three Degree Using Computer［J］. Acta Armamentarii, 1984, 3(1):49-56.

［6］万耀青. 多自由度行星变速箱方案计算机辅助设计的理论［J］. 机械设计与研究, 1984, 5(10):11-17.

WAN Yaoqing. The Theory of CAD for the Scheme of Planetary Gearbox with Multi-degree Freedom ［J］. Machine Design and Research, 1984, 5(10):11-17.

［7］杨小安，张伟社. 行星变速器传动方案串联综合法［J］. 工程机械, 1996, 5(11):15-17.

YANG Xiaoan, ZHANG Weishe. Tandem Combination of Planetary Transmission Drive Scheme ［J］. Construction Machinery and Equipment, 1996, 5(11):15-17.

［8］邸立明，赵永生，杜丹阳. 可变动力传动机构型综合分析方法研究［J］. 中国机械工程，2016，27(3)：315-322.

DI Linming, ZHAO Yongsheng, DU Danyang. Study on Type Synthesis Analytical Method of Variable Power Transmission Mechanism ［J］. China Mechanical Engineering, 2016, 27(3):315-322.

［9］符升平，李胜波，罗宁. 基于图论的自动变速器拓扑变换和传动特性分析［J］. 上海交通大学学报，2018，52(3)：348-355.

FU Shengping, LI Shengbo, LUO Ning. Topological Transformation and Transmission Characteristics Analysis of Vehicle Auto Transmission Based on Graph Theory［J］. Journal of Shanghai Jiaotong University, 2018, 52(3):348-355.

［10］MU D J, WANG H Y, DING H F, et al. Multi-freedom Planetary Transmission Scheme Based on Graph Theory of Topological Synthesis［C］// ASME 2015 Power Transmission and Gearing Conference. Boston, 2015:2-6.

［11］杨长辉，徐涛金，吴灿元. 大兆瓦级风电齿轮箱耦合动态特性及结构噪声分析［J］. 中国机械工程，2016，27(5)：609-614.

YANG Changhui, XU Taojin, WU Canyuan. Analysis of Dynamic Coupling Characteristics and Structural Noise of Multi-megawatt Wind Turbine Gearbox ［J］. China Mechanical Engineering, 2016, 27(5):609-614.

［12］薛会玲,刘更,杨小辉. 行星齿轮变速机构运动学分析［J］. 机械与电子, 2016, 34(9):3-6.

XUE Huiling, LIU Geng, YANG Xiaohui. Kinetic Analysis of Planetary Gear Transmission［J］. Machinery & Electronics, 2016, 34(9):3-6.

［13］DOU Z C, LI Y N，DU M G，et al. Dynamics Modeling and Power Flow Analysis of the Planetary Gear Based on the Bond Graph［C］// Proceedings of the International Conference on Power Transmissions. Chongqing, 2016:623-630.

［14］HAN Y , HU Jianjun, HU Zhihua, et al. Power Flow and Efficiency Analysis of Dual Planetary Coupling Mechanism Based on Bond Graph Theory ［J］.Journal of Advanced Mechanical Design Systems & Manufacturing, 2017, 12:10-13.

［15］畅博彦，金国光，戴建生. 基于变约束旋量原理的变胞机构构型综合［J］. 机械工程学报，2014, 50(5):17-25.

CHANG Boyan, JIN Guoguang, DAI Jiansheng. Type Synthesis of Metamorphic Mechanism Based on Variable Constraint Screw Theory ［J］. Journal of Mechanical Engineering, 2014, 50(5):17-25.

［16］胡旭宇，刘宏昭. 含恰约束支链的驱动变胞机构构型综合与分析［J］. 农业机械学报，2020, 51(1):383-390.

HU Xuyu, LIU Hongzhao. Type Systhesis and Analysis of Class of Actuated Metamorphic Mechanisms with Suitable Constrained Branch ［J］. Transactions of the Chinese Society of Agricultural Machinery, 2020, 51(1):383-390.

［17］叶梅燕，石志新，罗玉峰. 空间曲线平移并联机构构型综合与分类［J］. 农业机械学报，2019, 50(6):397-404.

YE Meiyan, SHI Zhixin, LUO Yufeng. Type Synthesis and Classification of Space Curve Translation Parallel Mechanisms ［J］. Transactions of the Chinese Society of Agricultural Machinery, 2019, 50(6):397-404.

［18］LIU Chuanhe. The Configuration-function Transition Digraphs of Metamorphic Mechanisms or Variable Topology Mechanisms［C］// ASME/IFTOMM International Conference on Reconfigurable Mechanisms and Robots. London, 2009:110-117.

［19］刘川禾. 变拓扑机构结构组成理论［J］. 机械工程学报，2012，48(19)：52-58.

LIU Chuanhe. Structure Composition Theory of Variable Topology Mechanisms ［J］. Journal of Mechanical Engineering, 2012, 48(19):52-58.

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