高重合度人字齿轮副啮合刚度影响规则的知识发现

中国机械工程 ›› 2014, Vol. 25 ›› Issue (15): 1989-1993.

高重合度人字齿轮副啮合刚度影响规则的知识发现

贺朝霞1;刘更2;常乐浩1

1.长安大学道路施工技术与装备教育部重点实验室，西安，710064
2.西北工业大学陕西省机电传动与控制工程实验室，西安，710072

出版日期:2014-08-10 发布日期:2014-08-13
基金资助:
国家自然科学基金资助项目（51205029）；中央高校基本科研业务费专项资金资助项目（2013G3252005）；长安大学高速公路筑养装备与技术教育部工程研究中心开放基金资助项目（2013G1502057）

Influences of Design Parameters on Meshing Stiffness of Herringbone Gear with High Contact Ratio

He Zhaoxia1;Liu Geng2;Chang Lehao1

1.Key Laboratory of Road Construction Technology and Equipment, Ministry of Education,Chang'an University,Xi'an,710064
2.Shaanxi Engineering Laboratory for Transmissions and Controls,Northwestern Polytechnical University,Xi'an,710072

Online:2014-08-10 Published:2014-08-13
Supported by:
National Natural Science Foundation of China（No. 51205029）;Fundamental Research Funds for the Central Universities( No. 2013G3252005)

摘要/Abstract

摘要：

为进行高重合度人字齿轮系统设计，采用知识发现方法获得多因素对啮合刚度的影响规律。在多次仿真数据的基础上，采用模糊聚类方法对人字齿轮副啮合刚度进行分类。基于粗糙集理论完成给定仿真数据集的离散化、属性约简以及属性值约简，从而获得综合考虑多因素的决策影响规则集，最终建立各结构设计因素与高重合度人字齿轮副啮合刚度之间的知识规则。新样本的综合判断表明，所获得的设计知识对高重合度齿轮系统的设计具有一定理论指导作用和实用性。

关键词: 人字齿, 模糊聚类, 粗糙集理论, 齿轮副啮合刚度, 知识发现

Abstract:

In order to help to design herringbone gear system with high contact ratio, a knowledg discovery method was proposed, which combined fuzzy mathmatic with rough sets theory (RST). At first, a fuzzy clustering method was applied on the simulation results and helped to acquire the classification of the tooth meshing stiffness. Then, the design decision rules were deduced by discretization of simulation parameters, the reduction of attributes and values which were based on the RST. And these rules show the relationship among the meshing stiffness and design factors. At last, the illustration of three new samples demonstrates the validity of this new method in application of knowledge discovery of simulation data.

Key words: herringbone gear, fuzzy clustering, rough set theory(RST), tooth meshing stiffness, knowledge discovery

中图分类号:

TH113.2

贺朝霞, 刘更, 常乐浩. 高重合度人字齿轮副啮合刚度影响规则的知识发现[J]. 中国机械工程, 2014, 25(15): 1989-1993.

He Zhaoxia, Liu Geng, Chang Lehao. Influences of Design Parameters on Meshing Stiffness of Herringbone Gear with High Contact Ratio[J]. China Mechanical Engineering, 2014, 25(15): 1989-1993.

参考文献

[1]李润方, 王建军. 齿轮系统动力学[M]. 北京: 科学出版社, 1997.
[2]卜忠红, 刘更, 吴立言. 斜齿轮啮合刚度变化规律研究[J]. 航空动力学报, 2010,25(4): 957-962.
Bu Zhonghong, Liu Geng, Wu Liyan. Research on the Variation Rules of Meshing Stiffness of the Helical Gear[J]. Journal of Aerospace Power, 2010, 25(4): 957-962.
[3]Johansson J.Manufacturability Analysis Using Integrate KBE, CAD and FEM[C]//Proceeding of the ASME 2008 International Design Engineering Technical Conference & Computers and Information in Engineering Conference. New York, 2008: DETC2008-49019.
[4]Chapman C B, Pinfold M.The Application of a Knowledge Based Engineering Approach to the Rapid Design and Analysis of an Automotive Structure[J]. Advances in Engineering Software, 2001, 32: 903-912.
[5]Pinfold M, Chapman C B.The Application of KBE Techniques to the FE Model Creation of an Automotive Body Structure[J]. Computers in Industry, 2001, 44: 1-10.
[6]Emberey C L, Milton N R.Application of Knowledge Engineering Methodologies to Support Engineering Design Application Development in Aerospace[C]//7th AIAA Aviation Technology, Integration and Operations Conference. Belfast, Northern Ireland, 2007: AIAA2007-7708.
[7]Nawijn M, van Tooren M J L, Berends J P T J. Automated Finite Element Analysis in a Knowledge Based Engineering Environment[C]//44th AIAA Aerospace Sciences Meeting and Exhibit.Reno, Nevada, 2006: AIAA2006-947.
[8]Sandberg M, Larsson T. Automating Redesign of Sheet-metal Parts in Automotive Industry Using KBE and CBR[C]//Proceeding of ASME 2006 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference. Philadelphia, Pennsylvania, USA, 2006: DETC2006-99545.
[9]尹纪龙, 李大永, 彭颖红. 数值仿真结果中知识发现的模糊粗糙集方法[J]. 上海交通大学学报, 2004, 38(9): 1448-1452.
Yin Jilong, Li Dayong, Peng Yinghong. Fuzzy-Rough Method of Knowledge Discovery on Numerical Simulation Results[J]. Journal of Shanghai Jiao Tong University, 2004, 38(9): 1448-1452.
[10]李大永，彭颖红，尹纪龙. 冲压成型仿真数据的主成分分析与模糊聚类分析[J]. 塑性工程学报, 2007, 14(3): 40-44.
Li Dayong, Peng Yinghong, Yin Jilong. Principal Component and Fuzzy C-means Clustering Analysis of Stamping Simulation Results[J]. Journal of Plasticity Engineering, 2007, 14(3): 40-44.
[11]Zadeh L A. Fuzzy Sets[J]. Information and Control, 1965, 8: 338-353.
[12]James C B. Pattern Recognition with Fuzzy Objective Function Algorithm[M]. New York: Plenum Press, 1981.
[13]Pawlak Z.Rough Sets[J].International J. of Computer and Information Sciences, 1982, 11: 341-356.
[14]全国齿轮标准化技术委员会. GB/T3480-1997. 渐开线圆柱齿轮承载能力计算方法[S]. 北京: 中国标准出版社, 2005.
[15]卜忠红. 人字齿行星齿轮传动系统的动态特性研究[D]. 西安: 西北工业大学, 2011.
[16]Nguyen H S, Skowron A. Quantization of Real Value Attributes-Rough Set and Boolean Reasoning Approach[C]//Proceeding of the Second Joint Conference on Information Science.Wrightsville Beach, North Carolina, USA, 1995: 34-37.