误差-磨损-温度变化耦合的行星滚柱丝杠副载荷分布
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摘要
为了揭示误差-磨损-温度变化耦合作用对行星滚柱丝杠副(PRSM)螺纹载荷分布的影响规律,基于变形协调关系,建立了计及误差、磨损和温度变化的PRSM载荷分布模型。通过与现有有限元模型和弹簧模型对比,最大相对误差为8.36%,表明所建模型正确且可用于载荷分布规律研究。在此基础上,研究了无误差、含误差和磨损、以及含温度变化的载荷分布规律。结果表明,误差是导致载荷不均和波动的主因;磨损加剧了载荷分布不均及波动;温度变化造成载荷分布规律发生变化并以中间螺纹为基准呈近似对称分布,且当温度变化达到80℃时,最大载荷增加了9.2%,可见温度变化会增大单个螺纹承载量并导致过载风险;温度变化为40℃时,载荷分布相对更加均匀,控制温度变化可作为改善PRSM载荷分布的有效方法。
In order to reveal the coupling effect of error,thread wear and temperature change on load distribution of planetary roller screw mechanism(PRSM),a load distribution model of PRSM with error,thread wear and temperature change is developed based on deformation coordination relationship in this paper. Compared with the existing finite element model and the spring model,the maximum relative error is 8.36%,which verifies the correctness of the presented model and can be used to study the load distribution. Furthermore,the load distribution trend without errors,with errors and wear,as well as temperature change is studied. The results indicated that the error is the main factor,which leads to load uneven and fluctuation,wear intensifies the load uneven and fluctuation,and temperature change leads to the change of load distribution and shows symmetric distribution in the middle of the thread as reference. The maximum load increases 9. 2% when temperature change is 80℃,therefore,the temperature change leads to load increase of some thread,which will further intensifies overload risk. Besides,the load distribution is relative even when temperature change is 40℃,and the control of temperature change can be regard as a method to improve load distribution of PRSM.
In order to reveal the coupling effect of error,thread wear and temperature change on load distribution of planetary roller screw mechanism(PRSM),a load distribution model of PRSM with error,thread wear and temperature change is developed based on deformation coordination relationship in this paper. Compared with the existing finite element model and the spring model,the maximum relative error is 8.36%,which verifies the correctness of the presented model and can be used to study the load distribution. Furthermore,the load distribution trend without errors,with errors and wear,as well as temperature change is studied. The results indicated that the error is the main factor,which leads to load uneven and fluctuation,wear intensifies the load uneven and fluctuation,and temperature change leads to the change of load distribution and shows symmetric distribution in the middle of the thread as reference. The maximum load increases 9. 2% when temperature change is 80℃,therefore,the temperature change leads to load increase of some thread,which will further intensifies overload risk. Besides,the load distribution is relative even when temperature change is 40℃,and the control of temperature change can be regard as a method to improve load distribution of PRSM.
引文
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[14]Wei C C,Liou W L,Lai R S.Wear Analysis of the Offset Type Preloaded Ball-Screw Operating at High Speed[J].Wear,2012,292/293:111-123
[15]刘淑敏,刘更,马尚君,等.不同工作温度下行星滚柱丝杠副载荷分布研究[J].机械传动,2016,40(5):14-19Liu Shumin,Liu Geng,Ma Shangjun,et al.Load Distribution of Planetary Roller Screw Mechanism under Different Working Temperatures[J].Mechanical Transmission,2016,40(5):14-19(in Chinese)
[2]Brandenburg G,Brückl S,Dormann J.Comparative Investigation of Rotary and Linear Motor Feed Drive Systems for High Precision Machine Tools[C]∥Proceedings of the 6th International Workshop on Advanced Motion Control,Nagoya,Japan,2000,384-389
[3]Ohashi Y,Andrade A D,NoséY.Hemolysis in an Electromechanical Driven Pulsatile Total Artificial Heart[J].Artificial Organs,2003,27(12):1089-1093
[4]Tesar D,Krishnamoorthy G.Intelligent Electromechanical Actuators to Modernize Ship Operations[J].Naval Engineers Journal,2008,120(3):77-88
[5]Claeyssen F,Jnker P,Leletty R,et al.New Actuators for Aircraft,Space And Military Applications[C]∥12th International Conference on New Actuators,Bremen,Germany,2010:324-330
[6]杨家军,韦振兴,朱继生,等.行星滚柱丝杠副载荷分布及刚度计算[J].华中科技大学学报,2011,39(4):1-4Yang Jiajun,Wei Zhenxing,Zhu Jisheng,et al.Calculation of Load Distribution of Planetary Roller Screws and Static Rigidity[J].Huazhong University of Science and Technology,2011,39(4):1-4(in Chinese)
[7]Rys J,Lisowski F.The Computational Model of the Load Distribution between Elements in Planetary Roller Screw[C]∥9th International Conference on Fracture&Strength of Solids,Jeju,Korea,2013
[8]Jones M H,Velinsky S A.Stiffness of the Roller Screw Mechanism by the Direct Method[J].Mechanics Based Design of Structures and Machines,2014,42:17-34
[9]马尚君,刘更,付晓军,等.考虑误差的行星滚柱丝杠副滚柱承载分布[J].哈尔滨工业大学学报,2015,47(7):98-102Ma Shangjun,Liu Geng,Fu Xiaojun,et al.Load Distribution of Rollers Considering Errors in Planetary Roller Screw Mechanism[J].Journal of Harbin Institute of Technology,2015,47(7):98-102(in Chinese)
[10]Zhang W J,Liu G,Tong R T,et al.Load Distribution of Planetary Roller Screw Mechanism and Its Improvement Approach[J].Journal of Mechanical Engineering Science,2016,203(18):3304-3318
[11]Abevi F,Daidie A,Chaussumier M,et al.Static Load Distribution and Axial Stiffness in a Planetary Roller Screw Mechanism[J].Journal of Mechanical Design,2016,138(1):012301
[12]Ma S J,Liu G,Tong R T,et al.A Frictional Heat Model of Planetary Roller Screw Mechanism Considering Load Distribution[J].Mechanics Based Design of Structures and Machines,2015,43(2):164-182
[13]孙震,陶卫军,冯虎田.精密滚珠丝杠副精度损失模型及其试验研究[J].组合机床与自动化加工技术,2013(3):1-4Sun Zhen,Tao Weijun,Feng Hutian.Model and Test Study of Precision Loss of the Precision Ball Screw[J].Modular Machine Tool&Automatic Manufacturing Technique,2013(3):1-4(in Chinese)
[14]Wei C C,Liou W L,Lai R S.Wear Analysis of the Offset Type Preloaded Ball-Screw Operating at High Speed[J].Wear,2012,292/293:111-123
[15]刘淑敏,刘更,马尚君,等.不同工作温度下行星滚柱丝杠副载荷分布研究[J].机械传动,2016,40(5):14-19Liu Shumin,Liu Geng,Ma Shangjun,et al.Load Distribution of Planetary Roller Screw Mechanism under Different Working Temperatures[J].Mechanical Transmission,2016,40(5):14-19(in Chinese)