With the rapid development of all electric mechanical equipment in the fields of industrial application, aerospace engineering, and national defense, planetary roller screw mechanism has attracted much attention as a new type actuator of electro-mechanical actuator system. This report systematically reviews previous large number of researches as well as new advancements on five types of planetary roller screw mechanisms from both available literatures and studies presented. Firstly, the general structure, merits, limitations, and the application of five types of planetary roller screw mechanisms are summarized. Then, the development state of the planetary roller screw mechanisms is elaborated in the three aspects: parameter design, contact properties, and performance analysis. Common problems and tendencies of theoretical analysis and calculation models are analyzed. Finally, the research directions and methods in the future on planetary roller screw mechanism are discussed. Key technologies and research challenges are presented in terms of multi-pair dynamic contact and multi-body vibration of system, and the development prospects for various planetary roller screw mechanisms in all electric mechanical equipment are summed up.
OtsukaJFukadaSOsawaT. Fundamental study of planetary screw-structure and coefficient of friction. Bull Jpn Soc Precis Eng1987; 21(1): 43–48.
2.
OtsukaJOsawaTFukadaS. A study on the planetary roller screw, comparison of static stiffness and vibration characteristics with those of the ball screw. Bull Jpn Soc Precis Eng1989; 23(3): 217–223.
3.
LemorPC (1996). The roller screw, an efficient and reliable mechanical component of electro-mechanical actuators. In: Proceedings of the 31st Intersociety Energy Conversion Engineering Conference. America, Washington, pp. 215–220.
4.
SchinstockDEHaskewTA (1996). Dynamic load testing of roller screw EMAs. In: Proceedings of the 31st Intersociety Energy Conversion Engineering Conference. America, Washington, pp. 221–226.
5.
FalknerMNitschkoTSupperL, et al.Roller screw lifetime under oscillatory motion: from dry to liquid lubrication. In: Proceedings of the 10th European Space Mechanisms and Tribology Symposium. Spain, San Sebastian, 2003, pp. 297–301.
BrunoSC. Roller screw [P]. US 3182522(A), 1965-05-11; 1965.
8.
ErhartTA. Linear actuator with feedback position sensor device [P]. US 5557154, 1996-09-17; 1996.
9.
CorneliusCCLawlorSP. Roller screw system. US 7044017 (B2), 2006-05-16; 2016.
10.
SaariO. Anti-friction nut/screw drive. US 4576057, 1986-05-18; 1986.
11.
WilliamJRWashingtonNY. Differential roller nut. US 661860, 1968-10-22; 1968.
12.
JinQZYangJJSunJL. Kinematic characteristics and parameter selection of planetary roller screw mechanism. Manufacturing Technology & Machine Tool1998; 8: 1–4, (in Chinese).
13.
HojjatYMahdi AgheliM. A comprehensive study on capabilities and limitations of roller-screw with emphasis on slip tendency. Mech Mach Theor2009; 44(10): 1887–1899.
14.
BudingerMReyssetAHalabiTE, et al.Optimal preliminary design of electromechanical actuators. Proc IME G J Aero Eng2014; 228(9): 1598–1616.
15.
MaSJLiuGZhouJX, et al.Optimal design and contact analysis for planetary roller screw. Appl Mech Mater2011; 86: 361–364.
16.
MaSLiuGTongR, et al.A new study on the parameter relationships of planetary roller screws. Math Probl Eng2012; 2012: 1–29. DOI: 10.1155/2012/340437.
17.
LiuGMaSJTongRT (2014). Parameters design and optimization of rollers in planetary roller screw mechanism. In: Proceedings of the 11th International Conference on Frontiers of Design and Manufacturing. China, Nanjing.
18.
YongDLiuGMaSJ, et al.Design and modeling of rollers of planetary roller screw. J Mach Des2013; 30(8): 53–57, (in Chinese).
19.
LisowskiFRyśJ. A methodology of designing the teeth conjugation in a planetary roller screw. Arch Mech Eng2016; 63(4): 589–603.
20.
DangJLLiuGMaSJ. Motion principle and simulation analysis of inverted planetary roller screw mechanism. J Syst Simul2013; 25(7): 1646–2165.
21.
BlinovDSRyakhovskyOASokolovPA. Numerical method of determining the point of initial thread contact of two screws with parallel axes and different thread inclinations. Vestn. MGTU, Mashinostr1996; 3: 93–97, (in Russian).
22.
ZhaoYNiJLuLN. Mesh calculation of roller screw pair [J]. Mach Des2003; 20(3): 34–36, (in Chinese).
23.
RyakhovskiyOASorokinFDMarokhinAS. Calculation of radial displacements of nut and rollers axes and the position of a contact between the nut and the roller thread in an inverted planetary roller screw mechanism. Proceedings of Higher Educational Institutions. Machine Building2013; 11: 12–19, (in Russian).
24.
FedosovskyMEAleksaninSAPuctozerovRV. Use of numerical method for determination of contact points position in roller screw threads. Biosciences Biotechnology Research Asia2015; 12(1): 721–730.
JonesMHVelinskySA. Contact kinematics in the roller screw mechanism [J]. J Mech Des2013; 135(5): 051003–051110.
27.
LiuYWangJChengH, et al.Kinematics analysis of the roller screw based on the accuracy of meshing point calculation. Math Probl Eng2015; 2015: 1–10, Article ID 303972.
28.
FuXLiuGMaSJ, et al.Studies on meshing mechanism of helical surfaces in planetary roller screw mechanism. Journal of Mechanical Engineering2016; 52(3): 26–33, (in Chinese).
29.
FuXLiuGMaSJ. Meshing properties of planetary roller screw mechanism within misalignments. Journal of Mechanical Engineering2017; 53(3): 25–33, (in Chinese).
30.
FuXJLiuGMaSJ, et al.A comprehensive contact analysis of planetary roller screw mechanism. J Mech Des2017; 139: 012302–13111.
31.
TselishchevASZharovIS. Elastic elements in roller-screw mechanisms. Russ Eng Res2008; 28(11): 1040–1043.
32.
JonesMHVelinskySA. Kinematics of roller migration in the planetary roller screw mechanism. J Mech Des2012; 134(6): 1–6.
33.
JonesMHVelinskySALaskyTA. Dynamics of the planetary roller screw mechanism. J Mech Robot2015; 8. DOI: 10.1115/1.4030082.
34.
LiuYQShangYWangJS. Mathematical analysis of the meshing performance of planetary roller screws applying different roller thread shapes. Adv Mech Eng2017; 9(5): 1–11.
35.
ChenSYFanYXLeiJJ. Mesh calculation and interference elimination of the planetary roller screw. Modular Machine Tool & Automatic Manufacturing Technique2018; 8: 4–7, (in Chinese).
36.
YaoQLiuYZhangM, et al.Investigation on the uncertain factors of the elastic-plastic contact characteristics of the planetary roller screw mechanism. Proc IME C J Mech Eng Sci2019; 233(5): 1795–1806.
37.
MaSWuLFuX, et al.Modelling of static contact with friction of threaded surfaces in a planetary roller screw mechanism. Mech Mach Theor2019; 139: 212–236.
38.
MaSWuLLiuG, et al.Local contact characteristics of threaded surfaces in a planetary roller screw mechanism. Mech Base Des Struct Mach2019; 48: 1–26. DOI: 10.1080/15397734.2019.1615944.
JonesMHVelinskySA. Stiffness of the roller screw mechanism by the direct method. Mech Base Des Struct Mach2014; 42(1): 17–34.
41.
ZhangWLiuGTongR, et al.Load distribution of planetary roller screw mechanism and its improvement approach. Proc IME C J Mech Eng Sci2016; 230(18): 3304–3318.
42.
AbeviFDaidieAChaussumierM, et al.Static load distribution and axial stiffness in a planetary roller screw mechanism. J Mech Des2016; 138(1): 012301–012318.
43.
MaSJLiuGTongRT, et al.Analysis of axial elastic deformation for planetary roller screw based on the finite element method. Mechanical Transmission2012; 36(7): 78–81, (in Chinese).
44.
RyśJLisowskiF. The computational model of the load distribution between elements in planetary roller screw. In: Proceedings of the 9th International Conference on Fracture & Strength of Solids. Korea, Jeju, 2013, pp. 1–6.
45.
LiuSMLiuGMaSJ, et al.Load distribution of planetary roller screw mechanism under different working temperatures. Mechanical Transmission2016; 40(5): 14–19, (in Chinese).
46.
FuYLZhengSCGanFJ. Life analysis of standard planetary roller screw mechanism based on structural parameter. Mechanical Transmission2018; 42(11): 117–122, (in Chinese).
47.
MaSJZhangCHZhangT, et al.Thermo-mechanical coupling-based finite element analysis of the load distribution of planetary roller screw mechanism. Adv Mech Eng2018; 10(6): 1–14.
48.
YangJJWeiZXZhuJS, et al.Calculation of load distribution of planetary roller screws and static rigidity. Huazhong University of science and technology (natural science edition)2011; 39(4): 1–4, (in Chinese).
49.
ZhdanovAVMorozovVV. Theoretical study of the load distribution on the threads for roller screw mechanisms of a friction type. Procedia Eng2016; 150: 992–999.
50.
MorozovVVPanyukhinVIZhdanovAV. Increasing the load capacity and rigidity of roller-screw mechanisms by adjusting the screw surfaces. Russ Eng Res2016; 36(2): 345–351. DOI: 10.3103/S1068798X16050142.
51.
MaSJLiXFLiuG, et al.Load distribution of planetary roller screw with error, thread wear and temperature change. J Northwest Polytech Univ2017; 35(4): 655–660, (in Chinese).
52.
SanduSBibouletNNeliasD, et al.An efficient method for analyzing the roller screw thread geometry. Mech Mach Theor2018; 126: 243–264.
53.
YaoQZhangMLiuY, et al.Multi-objective optimization of planetary roller screw mechanism based on improved mathematical modelling. Tribol Int2021; 161: 107095–110709515.
54.
VelinskySAChuBLaskyTA. Kinematics and efficiency analysis of the planetary roller screw mechanism. J Mech Des2009; 131(1): 011016–10110168.
55.
MaSJLiuGTongRT. Study on the frictional moment and transmission efficiency of planetary roller screw. J Harbin Inst Technol2013; 45(11): 100–105, (in Chinese).
56.
FuYLGanFJQiXY, et al.Influence of load on friction moment in roller screw [J]. J Mech Transm2016; 40(5): 116–119, (In Chinese).
57.
LiKYePQZhouXY, et al.Transmission characteristics of precise planetary roller screw. Opt Precis Eng2016; 24(8): 1908–1916, (In Chinese).
58.
LiuZFanYXZhuL, et al.Design of planetary roller screw transmission efficiency test rig. Modular Machine Tool & Automatic Manufacturing Technique2019; 12: 108–110, (In Chinese).
59.
SokolovPARyakhovskyOABlinovDS, et al.Kinematics of planetary roller-screw mechanism [J]. Vestn MGTU, Mashinostr2005; (1): 3–14.
60.
HojjatYMahdi AgheliM. A Comprehensive study on capabilities and limitations of roller-screw with emphasis on slip tendency. Mech Mach Theor2009; 44(10): 1887–1899.
61.
VelinskySAChuBLaskyTA. Kinematics and efficiency analysis of the planetary roller screw mechanism. J Mech Des2009; 131(1): 011016.
62.
MaSZhangTLiuG, et al.Kinematics of planetary roller screw mechanism considering helical directions of screw and roller threads. Math Probl Eng2015; 2015: 1–11. DOI: 10.1155/2015/459462.
63.
JonesMHVelinskySA. Kinematics of roller migration in the planetary roller screw mechanism. J Mech Des2012; 134(6): 061006.
64.
JonesMHVelinskySA. Contact kinematics in the planetary roller screw mechanism. J Mech Des2013; 135(5): 051003.
65.
MaSJLiuGTongRT, et al.Kinematic analysis of an inverted planetary roller screw considering roller pitch circle mismatch. China Mech Eng2014; 25(11): 1421–1426, (in Chinese).
66.
AcharyaJVenkataramN. Kinematic analysis and thread profile modification study of planetary roller screw actuator. Mater Today Proc2017; 4: 10965–10970, www.sciencedirect.com
67.
SanduSBibouletNNeliasD, et al.Analytical prediction of the geometry of contact ellipses and kinematics in a roller screw versus experimental results. Mech Mach Theor2019; 131: 115–136.
68.
MamaevIMMorozovVVFedotovOV, et al.Harmonic analysis of the kinematic error in a planetary roller screw [J]. Vestnik Mashinostroeniya2016; 4: 9–12.
69.
FuXJLiuGMaSJ, et al.Kinematics model of planetary roller screw mechanism with run-out and position errors. J Mech Des2018; 140(3): 032301–103230110.
70.
ZhangWLiuGMaS, et al.Load distribution over threads of planetary roller screw mechanism with pitch deviation. Proc IME C J Mech Eng Sci2019; 233(13): 4653–4666.
71.
MaSCaiWWuL, et al.Modelling of transmission accuracy of a planetary roller screw mechanism considering errors and elastic deformations. Mech Mach Theor2019; 134: 151–168.
72.
DuXChenBZhengZ. Investigation on mechanical behavior of planetary roller screw mechanism with the effects of external loads and machining errors. Tribol Int2021; 154: 106689.
73.
LepagneulJTadristLSprauelJ-M, et al.Fatigue lifespan of a planetary roller-screw mechanism. Mech Mach Theor2022; 172: 104769.
74.
MaSJLiuGZhouJX, et al.Dynamic characteristic analysis of planetary roller screw in motion process. J Vib Shock2013; 32(3): 167–171, (in Chinese).
75.
MaSJLiuGFuXJ, et al.Rolling-sliding characteristics of planetary roller screw considering elastic deformation. J Southeast Univ (Nat Sci Ed)2015; 45(3): 461–468, (in Chinese).
76.
YueLLWangWYHuBG. Dynamic characteristic analysis based on finite element simulation for planetary roller screw. Mechanical Engineering & Automation2014; 2: 16–18, (in Chinese).
77.
HeJPLiuGMaSJ, et al.Bond graph based dynamic characteristic modeling and simulation of planetary roller screw mechanism [J]. J Vib Shock2015; 34(20): 66–73, (in Chinese).
78.
JonesMHVelinskySALaskyTA. Dynamics of the planetary roller screw mechanism. J Mech Robot2016; 8(1): 014503–10145036.
79.
BergerE. Friction modeling for dynamic system simulation. Appl Mech Rev2002; 55(6): 535–577.
80.
FuXLiuGTongR, et al.A nonlinear six degrees of freedom dynamic model of planetary roller screw mechanism. Mech Mach Theor2018; 119: 22–36.
81.
LisowskiF. The specific dynamic capacity of a planetary roller screw with random deviations of a thread pitch. J Theor Appl Mech2017; 55(3): 991–1001.
82.
MaSZhangTLiuG, et al.Bond graph-based dynamic model of planetary roller screw mechanism with consideration of axial clearance and friction. Proc IME C J Mech Eng Sci2018; 232(16): 2899–2911.
83.
GuJJSunXJiangSS, et al.Dynamic characteristics analysis of planetary roller screw based on ANSYS workbench. Flight Control & Detection2019; 2(6): 82–88, (in Chinese).
84.
WuLMaSWanQ, et al.Dynamic model of planetary roller screw mechanism with considering torsional degree of freedom. MATEC Web of Conferences2020; 306: 01003.
85.
AbeviFDaidieAChaussumierM, et al.Static analysis of an inverted planetary roller screw mechanism. J Mech Robot2016; 8(4): 041020.
86.
AuréganGFridriciVKapsaP, et al.Experimental simulation of rolling-sliding contact for application to planetary roller screw mechanism. Wear2015; 332–333: 1176–1184.
87.
AureganGFridriciVKapsaP, et al.Wear behavior of martensitic stainless steel in rolling-sliding contact for planetary roller screw mechanism: study of the WC/C solution. Japanese Society of Tribologists2016; 11(2): 209–217.
88.
BlinovDSMorozovMIAnisimovPD. Mathematical support and software of processing results of metrological roller screw detail measurements. Science and Education of the Bauman MSTU2015; 1: 12–31, (in Russian).
89.
BlinovDSMorozovMIAnisimovPD. On working capacity criteria for screw-roller mechanisms. Science and Education of the Bauman MSTU2015; 8: 32–50, (in Russian).
90.
GuoJNHePHuangHY, et al.Analysis of planetary roller screw axial stiffness and experiment study. J Harbin Eng Univ2019; 40(5): 967–973, (in Chinese).
91.
MorozovVVZhdanovAV. Influence of the axial angle of screw profiles on the load capacity of roller-screw mechanisms. Vestnik Mashinostroeniya2015; 35(4): 9–12.
92.
TselishchevASZharovIS. Elastic elements in roller-screw mechanisms. Russ Eng Res2008; 28(11): 1040–1043.
93.
SokolovPABlinovDSRyakhovskiiOA, et al.Promising rotation-translation converters. Russ Eng Res2008; 28(10): 949–956.
94.
MaSLiuGTongR, et al.A frictional heat model of planetary roller screw mechanism considering load distribution. Mech Base Des Struct Mach2015; 43(2): 164–182.
95.
MaSJLiuGQiaoG, et al.Thermo-mechanical model and thermal analysis of hollow cylinder planetary roller screw mechanism. Mech Base Des Struct Mach2015; 43(3): 359–381.
96.
ZhangDWLiYTFuJH, et al.Rolling force and rolling moment in spline cold rolling using slip-line field method. Chin J Mech Eng2009; 22(5): 688–695.
97.
ZhangDWZhaoSD. New method for forming shaft having thread and spline by rolling with round dies. Int J Adv Manuf Technol2014; 70(5): 1455–1462.
98.
ZhengZDChenBKDuX, et al.Analysis of bearing characteristics of differential planetary roller screw. J Chongqing Univ2019 (ISSN: 1000-582X.
99.
XieZXueQWuJ, et al.Mixed-lubrication analysis of planetary roller screw. Tribol Int2019; 140: 105883.
100.
QiaoGLiuGMaS, et al.Thermal characteristics analysis and experimental study of the planetary roller screw mechanism. Appl Therm Eng2019; 149: 1345–1358.
101.
LiLFuYZhengS, et al.Friction torque analysis of planetary roller screw mechanism in roller jamming. Math Probl Eng2020; 2020: 1–8, Article ID 1392380, 8 pages.
102.
DuXChenBZhengZ. Investigation on mechanical behavior of planetary roller screw mechanism with the effects of external loads and machining errors. Tribol Int2021; 154: 106689.
