Calculation and Analysis of Spur Gear Mesh Stiffness with Considering Wear

Yang Liu; Xi Cui; Jiexin Wang

doi:10.16578/j.issn.1004.2539.2021.01.011

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Calculation and Analysis of Spur Gear Mesh Stiffness with Considering Wear

Design· Calculation | 更新时间：2022-11-10

- Calculation and Analysis of Spur Gear Mesh Stiffness with Considering Wear
- Journal of Mechanical Transmission Vol. 45, Issue 1, Pages: 65-70(2021)
- 作者机构：
  
  1.合肥工业大学机械工程学院，安徽合肥 230009
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.01.011
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刘炀,崔熙,王结鑫.考虑磨损的直齿轮啮合刚度计算与分析[J].机械传动,2021,45(01):65-70.

Liu Yang,Cui Xi,Wang Jiexin.Calculation and Analysis of Spur Gear Mesh Stiffness with Considering Wear[J].Journal of Mechanical Transmission,2021,45(01):65-70.
刘炀,崔熙,王结鑫.考虑磨损的直齿轮啮合刚度计算与分析[J].机械传动,2021,45(01):65-70. DOI： 10.16578/j.issn.1004.2539.2021.01.011.

Liu Yang,Cui Xi,Wang Jiexin.Calculation and Analysis of Spur Gear Mesh Stiffness with Considering Wear[J].Journal of Mechanical Transmission,2021,45(01):65-70. DOI： 10.16578/j.issn.1004.2539.2021.01.011.

摘要

基于能量法和Archard磨损模型，提出了一种考虑磨损的齿轮啮合刚度数值计算方法。根据展成法原理，建立了精确的齿廓曲线方程。利用能量法计算齿轮单齿啮合刚度，并通过分段1阶傅里叶级数拟合获得齿轮总啮合刚度。以Archard磨损模型为基础，计算得到齿面法向磨损量与啮合点处压力角的关系。计算分析了不同磨损量对齿轮啮合刚度的影响。结果表明，磨损量在齿根、齿顶处较大，在节点处的理论磨损量为0 mm，随着压力角的逐渐增加，磨损量先减小后增大；齿面非均匀磨损会降低齿轮啮合刚度，随着磨损量的逐渐增加，啮合刚度逐渐减小。该方法为考虑磨损的齿轮系统动力学建模提供了理论基础。

Abstract

A numerical method is proposed to calculate the mesh stiffness of spur gear with considering wear based on the potential energy method and Archard wear equation. A precise profile equation is constructed by generating method principle. Mesh stiffness for a pair of spur gears is calculated by energy method， and the piecewise Fourier serious expansion is employed to fit the total mesh stiffness. The relationship between the normal wear volume and the pressure angle at the meshing point is calculated by adopting the Archard wear equation. And the influence of wear volume on meshing stiffness is analyzed. The numerical results revealed that the wear volume at the root and top of tooth is larger than that at other meshing points， and the volume of the wear is zero at the pitch point. With the increase of the pressure angle， the wear volume decreases first and then increases. Uneven wear of the tooth surface reduced the meshing stiffness of the gear， and the meshing stiffness decreases with the increase of the wear volume. This method provides a theoretical basis for the dynamics modeling of gear system with tooth surface wear.

关键词

齿轮展成法啮合刚度能量法磨损

Keywords

GearGenerating methodMesh stiffnessEnergy methodWear

references

YANG Y，CAO L Y，LI H，et al.Nonlinear dynamic response of a spur gear pair based on the modeling of periodic mesh stiffness and static transmission error［J］.Applied Mathematical Modelling，2019，72：444-469.

XIONG Y S，HUANG K，XU F W，et al.Research on the influence of backlash on mesh stiffness and the nonlinear dynamics of spur gears［J］.Applied Sciences，2019，9（5）：1029.

YANG D C H，LIN J Y.Hertzian damping，tooth friction and bending elasticity in gear impact dynamics［J］.Journal of Mechanisms，Transmissions，and Automation in Design，1987，109（2）：189-196.

TIAN X H.Dynamic simulation for system response of gearbox including localized gear faults［D］.Edmonton：University of Alberta，2004：18-49.

WU S Y，ZUO M J，PAREY A.Simulation of spur gear dynamics and estimation of fault growth［J］.Journal of Sound and Vibration，2008，317（3）：608-624.

SAINSOT P，VELEX P，DUVERGER O.Contribution of gear body to tooth deflections—a new bidimensional analytical formula［J］.Journal of Mechanical Design，2004，126：748-752.

马辉，逄旭，宋溶泽，等.基于改进能量法的直齿轮时变啮合刚度计算［J］.东北大学学报（自然科学版），2014，35（6）：863-866.

MA Hui，PANG Xu，SONG Rongze，et al.Time-varying mesh stiffness calculation of spur gears based on improved energy method［J］.Journal of Northeastern University （Natural Science Edition），2014，35（6）：863-866.

冯松，毛军红，谢友柏.齿面磨损对齿轮啮合刚度影响的计算与分析［J］.机械工程学报，2015，51（15）：27-32.

FENG Song，MAO Junhong，XIE Youbai.Analysis and calculation of gear mesh stiffness with tooth wear［J］.Journal of Mechanical Engineering，2015，51（15）：27-32.

杨勇，王家序，周青华，等.考虑摩擦的磨损和修形齿轮啮合刚度计算［J］.工程科学与技术，2018，50（2）：212-219.

YANG Yong，WANG Jiaxu，ZHOU Qinghua，et al.Stiffness calculation considering friction for a spur gear pair with tooth wear and profile modification［J］.Advanced Engineering Sciences，2018，50（2）：212-219.

贲霖，徐辅仁.直齿渐开线齿轮齿面磨损模拟计算［J］.航空精密制造技术，2003，39（5）：29-32.

BEN Lin ，XU Furen.Simulative calculation for the abrasion of tooth surfaces of the involute spur gearing［J］.Aviation Precision Manufacturing Technology，2003，39（5）：29-32.

胡波，黄平.渐开线直齿圆柱齿轮磨损的数值计算与分析［J］.润滑与密封，2017，42（12）：23-28.

HU Bo，HUANG Ping.Numerical calculation and analysis of wear behavior of involute spur gear［J］.Lubrication Engineering，2017，42（12）：23-28.

田培棠，田凌，陈志明，等.圆柱齿轮几何计算原理及实用算法［M］.北京：国防工业出版社，2012：95-100.

TIAN Peitang，TIAN Ling，CHEN Zhiming，et al.Geometric calculation principle and practical algorithm of cylindrical gear［M］.Beijing：National Defense Industry Press，2012：95-100.

黄金凤，张飞斌，崔玲丽，等.基于全齿廓普遍方程的齿轮时变啮合刚度改进算法［J］.机械制造与自动化，2019，48（1）：40-44.

HUANG Jinfeng，ZHANG Feibin，CUI Lingli，et al.Improved algorithm for time-varying meshing stiffness of gears based on general equation of whole gear profile［J］.Mechine Building & Automation，2019，48（1）：40-44.

王淑仁，闫玉涛，殷伟俐，等.齿轮啮合摩擦疲劳磨损的计算模型［J］.东北大学学报（自然科学版），2008，29（8）：1164-1167.

WANG Shuren，YAN Yutao，YIN Weili，et al.Calculation model of fatigue wear-off in gear engagement［J］.Journal of Northeastern University （Natural Science），2008，29（8）：1164-1167.

王晓笋，巫世晶，陈杰，等.考虑动载荷与动态磨损系数的直齿轮传动系统动态磨损特性［J］.中南大学学报（自然科学版），2014，45（2）：408-413.

WANG Xiaosun，WU Shijing，CHEN Jie，et al.Dynamic surface wear characteristics in spur gear transmission system with dynamic loads and wear coefficients［J］.Journal of Central South University （Science and Technology），2014，45（2）：408-413.

CHAARI F，FAKHFAKH T，HADDAR M.Analytical modeling of spur gear tooth crack and influence on gear mesh stiffness［J］.European Journal of Mechanics：A/Solids，2009，28（3）：461-468．

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