Planetary roller screw mechanism (PRSM) transfers power and movement by the meshing of helical surfaces of a few rollers contacting with the screw and nut. The helical surface equations of roller, screw and nut thread surfaces are established based on the multi-start thread structural characteristics. According to the continuous tangency conditions of meshing surfaces, a method to calculate the meshing point positions and axial clearances of the PRSM is presented by utilizing the vectors described the translation of the screw, roller and nut thread surfaces along their axis. Then, the meshing equations and the axial clearances at the screw/roller and nut/roller interfaces are derived. By comparing the results obtained by existed calculation method with those by the presented meshing equations, the feasibility of meshing equations is validated. The meshing point positions, axial clearances of PRSM and axial gap distributions of two meshing surfaces are analyzed in the case that the screw, roller and nut’s flank angles are identical. The results show that the meshing point at screw/roller interface will incline to the top of the screw and roller’s thread; the meshing point at nut/roller interface will lie on the tangent point of pitch circles of the two meshing components; in order to eliminate the axial clearance during the design, the thread thickness of the screw, roller and nut should be different.
FU Xiaojun
,
LIU Geng
,
MA Shangjun
,
TONG Ruiting
. Studies on Meshing Mechanism of Helical Surfaces in Planetary Roller Screw Mechanism[J]. Journal of Mechanical Engineering, 2016
, 52(3)
: 26
-33
.
DOI: 10.3901/JME.2016.03.026
[1] LEMOR P C.The roller screw:An efficient and reliable mechanical component of electro-mechanical actuators [C]//Energy Conversion Engineering Conference,Aug.11-16,1996,Washington DC:IEEE,1996:215-220.
[2] LOHMEIER S,BUSCHMANN T,ULBRICH H.Humanoid robot LOLA [C]//2009 IEEE International Conference on robotics and automation,May.12-17,2009,Kobe,Japan:IEEE,2009:775-780.
[3] GARCIA A,CUSIDO J,ROSERO J A,et al.Reliable electro-mechanical actuators in aircraft [J].Aerospace and Electronic Systems Magazine,IEEE,2008,23(8):19-25.
[4] HOJJAT Y,AGHELI M M.A comprehensive study on capabilities and limitations of roller-screw with emphasis on slip tendency [J].Mechanism and Machine Theory,2009,44(10):1887-1899.
[5] VELINSKY S A,CHU B,LASKY T A.Kinematics and efficiency analysis of the planetary roller screw mechanism [J].Journal of Mechanical Design,2009,131(1):011016-1-011016-8.
[6] JONES M H,VELINSKY S A.Kinematics of roller migration in the planetary roller screw mechanism[J].Journal of Mechanical Design,2012,134(6):061006-1 -061006-8.
[7] 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(1):17-34.
[8] FALKNER M,NITSCHKO T,SUPPER L,et al.Roller screw lifetime under oscillatory motion: from dry to liquid lubrication [C]//The Proceedings of the 10th European Space Mechanisms and Tribology Symposium,Sep.24-26,2003,San Sebastian,Spain,2003:297-301.
[9] 马尚君,刘更,佟瑞庭.行星滚柱丝杠副摩擦力矩及传动效率研究[J].哈尔滨工业大学学报,2013,45(11):74-79. MA Shangjun,LIU Geng,TONG Ruiting.Study on the frictional moment and transmission efficiency of planetary roller screw[J].Journal of Harbin Institute of Technology,2013,45(11):74-79.
[10] MA S J,LIU G,TONG R T,et al.A new study on the parameter relationships of planetary roller screws[J].Mathematical Problem in Engineering,2012,doi:10.1155/ 2012 /340437.
[11] 杨家军,韦振兴,朱继生.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):1-4. YANG Jiajun,WEI Zhenxing,ZHU Jisheng.Calculation of the load distribution of a planetary roller screw for static rigidity[J].Journal of Huazhong University of Science and Technology,2011,39(4):1-4.
[12] JONES M H,VELINSKY S A.Contact kinematics in the roller screw mechanism[J].Journal of Mechanical Design,2013,135:051003-1-051003-10.
[13] 梅向明,黄敬之.微分几何[M].北京:高等教育出版社,2008. MEI Xiangming,HUANG Jingzhi.Differential geometry [M]. Beijing:Higher Education Press,2008.
[14] LITVIN F L. Gear geometry and applied theory [M]. New Jersey:PTR Prentice Hall,1994.