Bond graph-based dynamic model of planetary roller screw mechanism with consideration of axial clearance and friction

Abstract

To reveal the dynamic characteristics of planetary roller screw mechanism, a dynamic model of planetary roller screw mechanism is developed in this study, which is based on the bond graph theory that accounts for friction, axial clearance, and screw stiffness. First, the bond graph models of friction, axial clearance, and load distribution are presented. Then, a bond graph model of the entire planetary roller screw mechanism for the dynamic analysis is established using the 20-sim software package, and the dynamic equations are solved using the Runge–Kutta–Fehlberg algorithm. Finally, the axial speed, axial acceleration, and contact force of the components are derived under different axial loads and with different axial clearances. Furthermore, the dynamic friction characteristics at different angular velocities of the screw and the dynamic stiffnesses for different axial clearances are also obtained. The results can provide a theoretical basis for planetary roller screw mechanism design with consideration of dynamic characteristics.

Keywords

Planetary roller screw mechanism dynamic stiffness bond graph axial clearance friction characteristics

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References

Abdelhafez AA and Forsyt AJ. A review of more-electric aircraft. In: 13th international conference on Aerospace Sciences & Aviation Technology, ASAT-13, Cairo, Egypt, 2009, pp.1–13.

Brandenburg G, Brückl S and Dormann J. Comparative investigation of rotary and linear motor feed drive systems for high precision machine tools. In: Proceedings of the 6th international workshop on advanced motion control, Nagoya, Japan, 2000, pp.384–389.

Velinsky

Chu

Lasky

. Kinematics and efficiency analysis of the planetary roller screw mechanism. J Mech Des 2009; 131: 011016-1-011016-8–011016-1-011016-8.

Jones

Velinsky

. Kinematics of roller migration in the planetary roller screw mechanism. J Mech Des 2012; 134: 061006-1-061006-6–061006-1-061006-6.

Jones

Velinsky

. Contact kinematics in the planetary roller screw mechanism. J Mech Des 2013; 135: 051003-1-051003-10–051003-1-051003-10.

Liu

Qiao

, et al. Thermo-mechanical model and thermal analysis of hollow cylinder planetary roller screw mechanism. Mech Based Des Struct Mach 2015; 43: 359–381.

Ryś J and Lisowski F. The computational model of the load distribution between elements in planetary roller screw. In: 9th international conference on fracture & strength of solids, Jeju, Korea, 2013, pp.1–6.

Jones

Velinsky

. Stiffness of the roller screw mechanism by the direct method. Mech Based Des Struct Mach 2014; 42: 17–34.

Yang

Wei

Zhu

, et al. Calculation of load distribution of planetary roller screws and static rigidity. J Huazhong Univ Sci Technol (Nat Sci Ed) 2011; 39: 1–4. in Chinese).

10.

Tselishchev

Zharov

. Elastic elements in roller-screw mechanisms. J Russ Eng Res 2008; 28: 1040–1043.

11.

Yousef Hojjat

Mahdi

. A comprehensive study on capabilities and limitations of roller-screw with emphasis on slip tendency. Mech Mach Theory 2009; 44: 1887–1899.

12.

Ma SJ, Liu G and Fu XJ. Research on frictional moment and transmission efficiency of planetary roller screw. In: Society of tribologists and lubrication engineers annual meeting and exhibition, vol. 2, Orlando, USA, 2014, pp.676–701.

13.

Liu

Zhou

, et al. Dynamic characteristic analysis of planetary roller screw in motion process. J Vib Shock 2013; 32: 167–171.

14.

Jones

Velinsky

Lasky

TyA

. Dynamics of the planetary roller screw mechanism. J Mech Rob 2015; 8: 014503-1-014503-6–014503-1-014503-6.

15.

Alabakhshizadeh

Iskandarani

Hovland

, et al. Analysis, modeling and simulation of mechatronic systems using the bond graph method. Model Ident Control 2011; 32: 35–45.

16.

Karam

Mare

. Modeling and simulation of mechanical transmission in roller-screw electromechanical actuators. Aircr Eng Aerosp Technol 2009; 81: 288–298.

17.

Åström

Canudas-de-wit

. Revisiting the LuGre friction model. Appl Math Comput 2000; 115: 145–160.

18.

Alabakhshizadeh

Iskandarani

Hovland

, et al. Analysis, modeling and simulation of mechatronic systems using the Bond Graph Method. Model Ident Control 2011; 32: 35–45.

19.

Zhang

Liu

, et al. Kinematics of planetary roller screw mechanism considering helical directions of screw and roller threads. Math Prob Eng 2015; 2015: 1–11.