基于双重双面法的弧齿锥齿轮双侧齿面同步修形设计
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摘要
针对弧齿锥齿轮的双重双面法加工方法,以小轮齿槽中点作为双侧齿面修形的参考点,通过预置双侧齿面的啮合参数,构建符合啮合性能要求的目标齿面,建立基于加工参数优化的目标齿面误差数学模型和约束函数,采用非线性约束优化函数反求大轮的加工参数。根据齿面几何接触分析和有限元接触分析,对优化后的加工参数进行验证,结果表明,齿面修形后的啮合性能满足预期需求。
Aiming at the dual duplex spread blade method for cutting spiral bevel gears, the midpoint of the tooth space of pinion is treated as the reference point for the bilateral modification tooth surfaces. The target tooth surface is constructed to meet with the meshing performance by predetermining of the meshing parameters.The mathematical model and constraint function of the target tooth surface errors based on the optimization of machining tool setting are constructed. The nonlinear constrained optimization function is used to derive the machining parameters of the gear. The optimized method is verified by tooth contact analysis and finite element contact analysis. The simulation results show that the meshing performance meets the expected requirements after the tooth surface modification.
Aiming at the dual duplex spread blade method for cutting spiral bevel gears, the midpoint of the tooth space of pinion is treated as the reference point for the bilateral modification tooth surfaces. The target tooth surface is constructed to meet with the meshing performance by predetermining of the meshing parameters.The mathematical model and constraint function of the target tooth surface errors based on the optimization of machining tool setting are constructed. The nonlinear constrained optimization function is used to derive the machining parameters of the gear. The optimized method is verified by tooth contact analysis and finite element contact analysis. The simulation results show that the meshing performance meets the expected requirements after the tooth surface modification.
引文
[1]张宇,严宏志,曾韬.弧齿锥齿轮双重螺旋法切齿原理及齿面接触分析研究[J].机械工程学报,2015,51(21):15-23.
[2]LITVIN F L,FUENTES A.Gear Geometry and Applied Theory[M].Cambridge:Cambridge University Press,2004:241-248.
[3]魏冰阳,邓效忠,仝昂鑫,等.曲面综合法弧齿锥齿轮加工参数计算[J].机械工程学报,2016,52(1):20-25.
[4]王哲,刘庆民,张德君,等.加工弧齿锥齿轮的精确双重螺旋法(Ⅰ)--弧齿锥齿轮轮坯设计[J].吉林林学院学报,1995(2):138-141.
[5]王哲,刘庆民.加工弧齿锥齿轮的精确双重螺旋法(Ⅱ):弧齿锥齿轮副大轮加工的机床调整[J].吉林林学院学报,1995(2):80-82.
[6]TSAY C B,LIN J Y.A mathematical model for the tooth geometry of hypoid gears[J].Mathematical&Computer Modelling,1993,18(2):23-34.
[7]严宏志,胡志安,肖蒙,等.双重螺旋法加工螺旋锥齿轮齿面的主动设计[J].机械科学与技术,2017,36(11):1646-1652.
[8]林希.全工序法准双曲面齿轮建模与有限元分析[J].机械传动,2017(6):159-163.
[9]唐进元,蒲太平,颜海燕.螺旋锥齿轮双重双面法多轴联动数控加工计算机仿真研究[J].制造技术与机床,2008(2):25-29.
[10]耿龙龙,邓效忠,曹雪梅.基于双重双面法的弧齿锥齿轮轮齿接触分析(TCA)研究[J].机械传动,2014(6):34-36.
[11]龚飞.基于高阶传动误差的螺旋锥齿轮齿面修形方法[D].洛阳:河南科技大学,2017:12-17.
[12]苏进展,张昆仑,刘永生.弧齿锥齿轮对称抛物线型传动误差设计[J].机械设计,2016(3):17-23.
[13]曹雪梅,邓效忠,聂少武.基于共轭齿面修正的航空弧齿锥齿轮高阶传动误差齿面拓扑结构设计[J].航空动力学报,2015,30(1):195-200.
[14]北京齿轮厂编.螺旋锥齿轮[M].北京:科学技术出版社,1974:243-246.
[15]聂少武,邓静,邓效忠,等.基于齿面Ease off拓扑的弧齿锥齿轮齿面偏差等效修正方法[J].中国机械工程,2017,28(20):2434-2440.
[2]LITVIN F L,FUENTES A.Gear Geometry and Applied Theory[M].Cambridge:Cambridge University Press,2004:241-248.
[3]魏冰阳,邓效忠,仝昂鑫,等.曲面综合法弧齿锥齿轮加工参数计算[J].机械工程学报,2016,52(1):20-25.
[4]王哲,刘庆民,张德君,等.加工弧齿锥齿轮的精确双重螺旋法(Ⅰ)--弧齿锥齿轮轮坯设计[J].吉林林学院学报,1995(2):138-141.
[5]王哲,刘庆民.加工弧齿锥齿轮的精确双重螺旋法(Ⅱ):弧齿锥齿轮副大轮加工的机床调整[J].吉林林学院学报,1995(2):80-82.
[6]TSAY C B,LIN J Y.A mathematical model for the tooth geometry of hypoid gears[J].Mathematical&Computer Modelling,1993,18(2):23-34.
[7]严宏志,胡志安,肖蒙,等.双重螺旋法加工螺旋锥齿轮齿面的主动设计[J].机械科学与技术,2017,36(11):1646-1652.
[8]林希.全工序法准双曲面齿轮建模与有限元分析[J].机械传动,2017(6):159-163.
[9]唐进元,蒲太平,颜海燕.螺旋锥齿轮双重双面法多轴联动数控加工计算机仿真研究[J].制造技术与机床,2008(2):25-29.
[10]耿龙龙,邓效忠,曹雪梅.基于双重双面法的弧齿锥齿轮轮齿接触分析(TCA)研究[J].机械传动,2014(6):34-36.
[11]龚飞.基于高阶传动误差的螺旋锥齿轮齿面修形方法[D].洛阳:河南科技大学,2017:12-17.
[12]苏进展,张昆仑,刘永生.弧齿锥齿轮对称抛物线型传动误差设计[J].机械设计,2016(3):17-23.
[13]曹雪梅,邓效忠,聂少武.基于共轭齿面修正的航空弧齿锥齿轮高阶传动误差齿面拓扑结构设计[J].航空动力学报,2015,30(1):195-200.
[14]北京齿轮厂编.螺旋锥齿轮[M].北京:科学技术出版社,1974:243-246.
[15]聂少武,邓静,邓效忠,等.基于齿面Ease off拓扑的弧齿锥齿轮齿面偏差等效修正方法[J].中国机械工程,2017,28(20):2434-2440.