基于全齿廓普遍方程的齿轮时变啮合刚度改进算法

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英文篇名：Improved Algorithm for Time-varying Meshing Stiffness of Gears Based on General Equation of Whole Gear Profile 作者：黄金凤 ; 张飞斌 ; 崔玲丽 ; 陈雄飞 英文作者：HUANG Jinfeng;ZHANG Feibin;CUI Lingli;CHEN Xiongfei;Key Laboratory of Advanced Manufacturing Technology,Beijing University of Technology;Department of Mechanical Engineering,Tsinghua University;Engineering College,Jiangxi Agricultural University; 关键词：啮合刚度 ; 故障诊断 ; 拉压刚度 ; 普遍方程法 英文关键词：meshing stiffness;;fault diagnosis;;tension and compression stiffness;;general equation method 中文刊名：ZZHD 英文刊名：Machine Building & Automation 机构：北京工业大学先进制造技术北京市重点实验室;清华大学机械工程系;江西农业大学工学院; 出版日期：2019-02-20 出版单位：机械制造与自动化 年：2019 期：v.48;No.260 语种：中文; 页：ZZHD201901012 页数：6 CN：01 ISSN：32-1643/TH 分类号：46-50+69

摘要

时变啮合刚度是齿轮系统振动信号的最主要内部激励源之一,更是故障诊断机理研究的核心参量。针对传统能量法在齿根圆和基圆不重合时存在的问题,提出了基于齿轮全齿廓普遍方程的齿轮时变啮合刚度精确算法;该算法建立了以滚动角φ为统一变量的高精度全齿廓啮合刚度积分公式,并依据齿条刀加工原理明确了滚动角的取值范围。基于新算法研究发现,不同参数下的齿轮副在完整啮合周期过程中,啮合力对轮齿的径向作用存在拉伸区间和压缩区间两种情况,故提出轮齿拉压刚度的概念以更准确地描述轮齿刚度的组成成分,并研究了拉压刚度的齿轮参数临界值。
        Time-varying meshing stiffness is one of the most important internal excitation sources of vibration signals in gear system,and it is also the core parameter of making research on fault diagnosis mechanism. When the tooth circle does not coincide with the base circle,an accurate algorithm of gear time-varying meshing stiffness based on the general equation of gear tooth profile is proposed on the principle of the traditional energy method in this paper. The integral formula of high precision whole gear profile meshing stiffness with rolling angle φ as uniform variable is established in the algorithm,and the range of rolling angle is clarified according to the principle of rack cutting. Based on the new algorithm,it is found that the radial force of the meshing force on the teeth exists in the tension interval and compression interval in the complete meshing cycle of the gear pair under different parameters. Therefore,the concept of tension and compression stiffness are proposed,as to describe the component of gear stiffness more accurately,and the critical values of gear parameters for tension and compression stiffness are also studied.

引文

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