为减小二齿差摆杆活齿稳态响应幅值，从而降低啮合副动载荷并提高传动系统运转平稳性，基于活齿传动系统动态特性分析提出二齿差摆杆活齿参数设计方法。建立活齿传动力学模型，求得啮合副时变啮合刚度，推导出当量啮合刚度，结合系统动力学分析模型，计算系统各子构件稳态振动响应。以系统传动平稳性和啮合副动载系数建立构件动态性能评价函数，按照子构件在系统中的加权建立系统动态性能评价目标函数，通过对目标函数评估从而得到具有良好动态性能的设计参数。对3组设计参数虚拟样机进行谐响应仿真分析，仿真结果表明，基于动态特性分析确定设计参数的虚拟样机扫频振幅最小，研究结果可对提升活齿传动系统动态性提供技术参考。
Abstract
Here, in order to reduce steady-state response amplitude of movable teeth of a two-tooth difference pendulum bar, and reduce dynamic load of meshing pair and improve running stability of transmission system, a parameter design method for movable teeth of the two-tooth difference pendulum bar was proposed based on dynamic characteristics analysis of movable teeth transmission system.The dynamic model for movable teeth transmission was established to solve and obtain time-varying meshing stiffness of meshing pair, and derive the equivalent meshing stiffness.Combining with the system dynamic analysis model, the steady-state vibration response of each sub-component of the system was calculated.The evaluation function of component dynamic performance was established based on the system transmission stability and dynamic load coefficient of meshing pair.The objective function of system dynamic performance evaluation was established according to weights of sub-components in the system.Through evaluating the objective function, design parameters with good dynamic performance were obtained.The harmonic response simulation analysis for the virtual prototype with 3 groups of design parameters was performed.The simulation results showed that the sweep amplitude of the virtual prototype with the design parameters determined based on dynamic characteristics analysis is the minimum; the study results can provide a technical reference for improving dynamic performance of movable teeth transmission system.
关键词
摆杆活齿 /
稳态响应 /
目标函数 /
谐响应
{{custom_keyword}} /
Key words
swing-rod movable teeth /
steady-state response /
objective function /
harmonic response
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
［1］王国彪, 赖一楠, 范大鹏, 等.新型精密传动机构设计与制造综述［J］.中国机械工程, 2010, 21(16): 1891-1897.
WANG Guobiao, LAN Yinan, FAN Dapeng, et al.Summary of new type precision transmission design and manufacture［J］.China Mechanical Engineering, 2010, 21(16): 1891-1897.
［2］曲继方.活齿传动理论［M］.北京：机械工业出版社, 1993.
［3］宜亚丽,豆林瑞,郭辉,等.双相外激波摆杆活齿传动耦合刚度［J］.中国机械工程,2018,29(6):644-649.
YI Yali, DOU Linrui, GUO Hui, et al.Coupling stiffness of double outer generator swing rod movable teeth transmissions［J］.China Mechanical Engineering, 2018,29(6):644-649.
［4］KAHRAMAN A.Planetary gear train dynamics［J］.Journal of Mechanical Design，1994，116(3)：713-720.
［5］LIN J,PARKER R G.Analytical characterization of the
unique properties of planetary gear freevibration［J］.Journal of Vibration and Acoustics，1999，121(3)：316-321.
［6］PARKER R G，AGASHE V，VIJAYAKAR S M.Dynamic
response of a planetary gear system using a finite element/contact mechanics model［J］.Journal of Mechanical Design，2000，122(3)：304-310.
［7］任望,刘杰,赵伟强.齿面磨损对齿轮系统动态特性的影响［J］.润滑与密封,2019,44(11):67-72.
REN Wang, LIU Jie, ZHAO Weiqiang.Effect of tooth surface wear on dynamic characteristics of gear system［J］.Lubrication Engineering, 2019,44(11):67-72.
［8］刘志辉,严宏志,曹煜明.斜撑式超越离合器二轴总成动态性能分析［J］.振动与冲击,2018,37(20):159-165.
LIU Zhihui, YAN Hongzhi, CAO Yuming.An analysis of dynamic performance of sprag one-way clutch two shafts assembly［J］.Journal of Vibration and Shock,2018,37(20):159-165.
［9］INALPOLAT M， KAHＲAMAN A． A dynamic model topredict modulation sidebands of a planetary gear set having manufacturing errors［J］． Journal of Sound and Vibration，2010，329(4) : 371-393.
［10］REN Z Y, MAO S M, GUO W C, et al.Tooth modification and dynamic performance of the cycloidal drive［J］.Mechanical Systems & Signal Processing, 2017, 85: 857-866.
［11］栾文博,吴光强.基于弯扭轴综合振动混合模型的汽车传动系复模态分析及仿真研究［J］.机械工程学报,2015,51(22):73-81.
LUAN Wenbo, WU Guangqiang.Complex mode analysis and simulation research of automotive driveline based on bending-torsional-axial coupled vibration hybrid model［J］.Journal of Mechanical Engineering,2015,51(22):73-81.
［12］HARRIS T A, KOTZALAS M N.Rolling bearing analysis［M］.5th ed.Boca Raton：CRC Press Inc., 2006.
［13］向玲,高楠,唐亮,等.支承刚度变化下风电齿轮传动系统的非线性动力学特性［J］.振动与冲击,2019,38(1):103-109.
XIANG Ling, GAO Nan, TANG Liang, et al.Nonlinear dynamic characteristics of wind turbine gear transmission system with varying support stiffness［J］.Journal of Vibration and Shock, 2019,38(1):103-109.
［14］郭辉.二齿差摆杆活齿传动误差分析及动态响应研究［D］.秦皇岛:燕山大学, 2018.
［15］王颖,王三民,郭家舜.高速重载齿轮传动多目标优化设计研究［J］.机械设计与制造,2012(9):7-9.
WANG Ying, WANG Sanming, GUO Jiashun.Research on multi-objective optimization design of high-speed and heavy-duty gear transmissions ［J］.Machinery Design & Manufacture, 2012(9):7-9.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
PDF(1772 KB)
