第 30卷第 12期
2013年12月
机电工程
Journal of Mechanical & Electrical Engineering
Vol. 30 No. 12
Dec. 2013
DOI:10.3969/j.issn.1001-4551.2013.12.010
渐开线直齿轮修形的有限元分析与研究*
周志峰,刘 伟
伟
,王 婧
(北京交通大学机械与电子控制工程学院,北 京 100044)
摘要:针对不同修形曲线对齿轮修形产生不同效果的问题,首先推导出了渐开线参数方程和修形曲线的齿廓参数方程,然后应用
Pro/E建立了标准渐开线直齿轮与修形齿轮的三维模型,最后利用ANSYS Workbench的瞬态动力学模块对其进行了有限元分析;通
过仿真得出了渐开线直齿轮和修形齿轮在啮合过程中的齿面接触应力的变化曲线。研究结果表明,在齿轮传动时的单双齿啮合交
替时及啮人/啮出时,Walker修形曲线较直线修形曲线具有更好的修形效果,但同时两种修形曲线都导致了齿轮重合度的降低,增加
了单齿啮合区,为修形齿轮的设计提供了数值实验依据。
关键词:齿轮修形;啮合冲击;有限元分析
中图分类号:TH132.4; TH122 文献标志码:A 文章编号:1001-4551(2013)12-1490-04
Finite element analysis and research on involute
spur gear modification
ZHOU ZHI-feng,LIU W ei,WANG Jing
(School of Mechatronics ’ Electronic and Control Engineering’ Beijing Jiaotong University ’ Beijing 100044,China)
Abstract : In order to solve the problems of different modification curves leads to different gear modification effects,parametric equations
of involute and tooth profile modification curve were derived. Then three-dimensional models of standard involute spur gear and profile
modifying gear were built using Pro/E. Finally, finite element analysis of the models was carried out by using transient dynamic module of
ANSYS Workbench. The tooth face contact stress curve of involute spur gear and modification gear in meshing process was obtained
through simulation. The results indicate that Walker modification curve has better effects than linear modification curve during the period
of alternating single and double teeth meshing and teeth coming into or out of contact in gear transmission process. However, both of the
two curves lead to the reduction of gear coincidence degree and the growing of single-tooth mesh region, which provides a numerical
experimental basis for the designing of modification gear.
Key words
: gear modification; meshing impact; finite element analysis(FEM)
0 引 言
由于受制造精度、安装误差、齿轮弹性变形及热
变形等因素的综合影响,在实际齿轮传动时啮合过程
中就会偏离平稳啮合线,从而会产生偏载、振动和冲
击 ,导致齿轮早期失效的概率增大。
近年来’ 杨 生 、王统丨用接触有限元法分析了直
齿轮轮齿的受载变形;Barlam.D等 2采用整轮接触仿
真模型对齿轮变形进行了研究;詹东安等3分析了齿
廓修形的长修形和短修形的区别及应用场合;欧阳建
国4做实例实验证明了齿廓修形可以显著降低啮合点
温度;屈文涛等5基于有限元软件ANSYS/LS-DYNA
计算了齿面接触应力的变化情况;孙建国 等 6利用
收稿日期:2013-08-12
基金项目:国家自然科学基金资助项目(51175033)
作者简介:周 志峰( 1 98 5 -),男 ,江 苏南 通人,主要从事机械设计及仿真方面的研究. E-mail: 09121853@bjtu.edu.cn
通信联系人:刘 伟 ,男 ,副教 授 ,硕士 牛导师. E-mail: liuw@bjtu.edu.cn
第 30卷第 12期
2013年12月
机电工程
Journal of Mechanical & Electrical Engineering
Vol. 30 No. 12
Dec. 2013
DOI:10.3969/j.issn.1001-4551.2013.12.010
渐开线直齿轮修形的有限元分析与研究*
周志峰,刘 伟
伟
,王 婧
(北京交通大学机械与电子控制工程学院,北 京 100044)
摘要:针对不同修形曲线对齿轮修形产生不同效果的问题,首先推导出了渐开线参数方程和修形曲线的齿廓参数方程,然后应用
Pro/E建立了标准渐开线直齿轮与修形齿轮的三维模型,最后利用ANSYS Workbench的瞬态动力学模块对其进行了有限元分析;通
过仿真得出了渐开线直齿轮和修形齿轮在啮合过程中的齿面接触应力的变化曲线。研究结果表明,在齿轮传动时的单双齿啮合交
替时及啮人/啮出时,Walker修形曲线较直线修形曲线具有更好的修形效果,但同时两种修形曲线都导致了齿轮重合度的降低,增加
了单齿啮合区,为修形齿轮的设计提供了数值实验依据。
关键词:齿轮修形;啮合冲击;有限元分析
中图分类号:TH132.4; TH122 文献标志码:A 文章编号:1001-4551(2013)12-1490-04
Finite element analysis and research on involute
spur gear modification
ZHOU ZHI-feng,LIU W ei,WANG Jing
(School of Mechatronics ’ Electronic and Control Engineering’ Beijing Jiaotong University ’ Beijing 100044,China)
Abstract : In order to solve the problems of different modification curves leads to different gear modification effects,parametric equations
of involute and tooth profile modification curve were derived. Then three-dimensional models of standard involute spur gear and profile
modifying gear were built using Pro/E. Finally, finite element analysis of the models was carried out by using transient dynamic module of
ANSYS Workbench. The tooth face contact stress curve of involute spur gear and modification gear in meshing process was obtained
through simulation. The results indicate that Walker modification curve has better effects than linear modification curve during the period
of alternating single and double teeth meshing and teeth coming into or out of contact in gear transmission process. However, both of the
two curves lead to the reduction of gear coincidence degree and the growing of single-tooth mesh region, which provides a numerical
experimental basis for the designing of modification gear.
Key words
: gear modification; meshing impact; finite element analysis(FEM)
0 引 言
由于受制造精度、安装误差、齿轮弹性变形及热
变形等因素的综合影响,在实际齿轮传动时啮合过程
中就会偏离平稳啮合线,从而会产生偏载、振动和冲
击 ,导致齿轮早期失效的概率增大。
近年来’ 杨 生 、王统丨用接触有限元法分析了直
齿轮轮齿的受载变形;Barlam.D等 2采用整轮接触仿
真模型对齿轮变形进行了研究;詹东安等3分析了齿
廓修形的长修形和短修形的区别及应用场合;欧阳建
国4做实例实验证明了齿廓修形可以显著降低啮合点
温度;屈文涛等5基于有限元软件ANSYS/LS-DYNA
计算了齿面接触应力的变化情况;孙建国 等 6利用
收稿日期:2013-08-12
基金项目:国家自然科学基金资助项目(51175033)
作者简介:周 志峰( 1 98 5 -),男 ,江 苏南 通人,主要从事机械设计及仿真方面的研究. E-mail: 09121853@bjtu.edu.cn
通信联系人:刘 伟 ,男 ,副教 授 ,硕士 牛导师. E-mail: liuw@bjtu.edu.cn