行星齿轮传动系统动态均载性能与灵敏度分析
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摘要
行星齿轮传动均载性能主要受到齿轮的制造和装配误差的影响。综合考虑偏心误差、装配误差以及太阳轮的轴向偏斜等因素,构建了行星齿轮机构动力学分析模型。通过求解模型,得到了各误差下系统动载荷的时域历程与频谱,分析了各误差对系统均载系数与太阳轮浮动轨迹的影响。采用有限差分法计算了各误差对系统均载系数的灵敏度,发现装配误差的灵敏度比较大,对系统传动均载性能的影响也比较大,偏心误差的影响则相对较小,研究结果为行星齿轮传动机构的高稳定性设计提供了理论指导。
The main factors affecting the Load sharing characteristic of planetary gear transmission are manufacturing and assembling errors of gears. The dynamics model of planetary gear was built by considering many factors like eccentric errors,assembly errors and axial deflection errors of sun gear. By solving the model,the time domain process and dynamic spectrum of the system dynamic load are obtained,and the influence of each error on the system load coefficient and the sun wheel floating track are analyzed. The influence of each error on the system load sharing performance is calculated by finite difference method. It is found that the sensitivity of assembly error is larger,and the influence of the load sharing on the system is larger,the influence of eccentric error is smaller. It provides theoretical guidance for the high stability design of planetary gear transmission system.
The main factors affecting the Load sharing characteristic of planetary gear transmission are manufacturing and assembling errors of gears. The dynamics model of planetary gear was built by considering many factors like eccentric errors,assembly errors and axial deflection errors of sun gear. By solving the model,the time domain process and dynamic spectrum of the system dynamic load are obtained,and the influence of each error on the system load coefficient and the sun wheel floating track are analyzed. The influence of each error on the system load sharing performance is calculated by finite difference method. It is found that the sensitivity of assembly error is larger,and the influence of the load sharing on the system is larger,the influence of eccentric error is smaller. It provides theoretical guidance for the high stability design of planetary gear transmission system.
引文
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[9]石照耀,康焱,林家春.基于齿轮副整体误差的齿轮动力学模型及其动态特性[J].机械工程学报,2010,46(17):55-61.(Shi Zhao-yao,Kang Yi,Lin Jia-chun.Comprehensive dynamics model and dynamic response analysis of a spur gear pair based on gear pair integrated error[J].Journal of Mechanical Engineering,2010,46(17):55-61.)
[10]卜忠红,刘更,吴立言.行星齿轮传动动力学研究进展[J].振动与冲击,2010,29(9):161-167.(Bu Zhong-hong,Lin Geng,Wu li-yan.Research advances in planetary gear trains dynamics[J].Journal of Vibration and Shock,2010,29(9):161-167.)
[2]陆俊华,朱如鹏,靳广虎.行星传动动态均载特性分析[J].机械工程学报,2009,45(5):85-90.(Lu Jun-hua,Zhu Ru-peng,Jin Guang-hu.Analysis of dynamic load characteristics of planetary transmission[J].Journal of Mechanical Engineering,2009,45(5):85-90.)
[3]Kahramn A.Load sharing characteristics of planetary transmis-sions[J].Mech.Mach.Theory,1994,29(8):1151-1165.
[4]王宇航,佟占胜,吴秀英.行星齿轮传动的均载机构及选择[J].重型机械,2010.(Wang Yu-hang,Tong Zhan-sheng,Wu Xiu-ying.Equal load mechanism and selection of planetary gear transmission[J].Heavy Machinery,2010.)
[5]王春光,常山,李应生.行星齿轮传动静力学均载分析[J].热能动力工程,2005,20(4):702-709.(Wang Chun-guang,Chang Shan,Li Ying-sheng.Static load analysis of planetary gear transmission[J].Journal of Engineering for Thermal Energy and Power,2005,20(4):702-709.)
[6]周惠琴,李素有,吴立言.行星齿轮传动系统均载分析[J].机械科学与技术,2008,27(9):1239-1242.(Zhou Hui-qin,Li Su-you,Wu Li-yan.An load analysis of planetary gear transmission system[J].Mechanical Science and Technology for Aerospace Engineering,2008,27(9):1239-1242.)
[7]方子帆,舒刚,何孔德.齿轮传动多体接触力学模型[J].机械传动,2009,33(1):15-19.(Fang Zi-fan,Shu Gang,He Kong-de.Multi-body contact mechanics model for gear transmission[J].Journal of Mechanical Transmission,2009,33(1):15-19.)
[8]龚小平,仝崇楼.行星齿轮减速器可靠性优化设计[J].机械设计与制造,2001,1(5):1-3.(Gong Xiao-ping,Tong Chong-lou.Reliable optimazation designing of planetary gear reducers[J].Mechinery Dedign and Manufaucture,2001,1(5):1-3.)
[9]石照耀,康焱,林家春.基于齿轮副整体误差的齿轮动力学模型及其动态特性[J].机械工程学报,2010,46(17):55-61.(Shi Zhao-yao,Kang Yi,Lin Jia-chun.Comprehensive dynamics model and dynamic response analysis of a spur gear pair based on gear pair integrated error[J].Journal of Mechanical Engineering,2010,46(17):55-61.)
[10]卜忠红,刘更,吴立言.行星齿轮传动动力学研究进展[J].振动与冲击,2010,29(9):161-167.(Bu Zhong-hong,Lin Geng,Wu li-yan.Research advances in planetary gear trains dynamics[J].Journal of Vibration and Shock,2010,29(9):161-167.)