Nonlinear dynamic meshing force analysis of PEEK-based polymer composite involute spline coupling system

Abstract

The dynamic meshing force affects the stability and wear life of PEEK polymer composite involute spline couplings, but most of the dynamic meshing force is obtained by empirical formula, and there is no effective calculation method in practice. Aiming at the viscoelasticity and nonlinear behavior of PEEK material, this work established a nonlinear dynamic model of the drive system of PEEK-based polymer composite involute spline pair by using the concentrated mass method, taking into account time-varying meshing stiffness, tooth side gap, and comprehensive transmission error, and obtained a dimensionless dynamic matrix that eliminates rigid body displacement. Aiming at the thermal stability of PEEK material, the dynamic meshing stiffness and dynamic meshing force of the involute spline of PEEK-based polymer composite were calculated by considering the thermal effect of misalignment and meshing deformation. The influence of misalignment on the dynamic characteristics of the system under dynamic and static loads was studied. The results show that the dynamic meshing stiffness and dynamic meshing force of involute spline coupling of PEEK-based polymer composite materials under misalignment represent complex nonlinear characteristics; Vibration, load, and viscoelastic deformation have an impact on transmission accuracy and efficiency; And the optimal selection range for friction coefficient, Poisson's ratio, and Young's modulus were determined within the parameter range of involute spline coupling of PEEK-based polymer composite materials as the matrix. It provides a theoretical foundation for designing high-performance, high-precision, and highly reliable PEEK-based polymer composite components.

Keywords

PEEK (polyether ether ketone)involute spline dynamic model meshing stiffness misalignment dynamic engagement force

Get full access to this article

View all access options for this article.

References

Zorko

Kulovec

Duhovnik

, et al. Durability and design parameters of a steel/PEEK gear pair. Mech Mach Theory 2019; 140: 825–846.

Hoskins

Dearn

Chen

, et al. The wear of PEEK in rolling–sliding contact: simulation of polymer gear applications. Wear 2014; 309: 35–42.

Xiao

Chen

, et al. Prediction of fretting damage and wear fatigue of floating involute spline couplings. Xibei Gongye Daxue Xuebao/J Northwest Polytech Univ 2022; 40: 549–559.

Gao

Zhan

, et al. Simulation study on fretting wear of involute spline. Other Conf 2022; 12261: 1219–1225.

Tan

. The fretting frictional contact analysis of involute spline coupling. J Mech Eng 2018; 54: 123.

Walton

James

Roger

, et al. Experimental investigation of the dynamic characteristics of an axial spline coupling in high-speed rotating machinery. Am Soc Mech Eng 1993; 60: 265–270.

Marmol

Smalley

Tecza

. Spline coupling induced nonsynchronous rotor vibrations. J Mech Des 1980; 102: 168.

Qixin

. Study on nonlinear dynamic meshing force of involute spline couplings in aero-engine with misalignment. Shaanxi: Shaanxi University of Science and Technology, 2020.

Xue

Qixin

. Influence of mass eccentricity on nonlinear dynamic mesh force of aviation involute spline couplings. J Shaanxi Univ Sci 2021; 39: 130–137.

10.

Xue

Sanmin

. Nonlinear dynamic characteristics of involute spline couplings. J Harbin Inst Technol 2015; 47: 107–111.

11.

Nanjing University of Aeronautics and Astronautics. Dynamic modeling and parameter determination method of wet friction clutch considering spline pair, CN202111626650.3. 2022-03-25.

12.

Patil

. Experimental and numerical analysis of a load distribution along the length of contact in involute spline shaft. Int J Adv Technol Eng Explor (IJATEE) 2019; 6: 30–44.

13.

Curà

Mura

. Theoretical and numerical evaluation of tilting moment in crowned teeth splined couplings. Meccanica 2018; 53: 413–424.

14.

Guo

Lambert

Wallen

, et al. Theoretical and experimental study on gear-coupling contact and loads considering misalignment, torque, and friction influences. Mech Mach Theory 2016; 98: 242–262.

15.

Marmol

Smalley

Tecza

. Spline coupling induced nonsynchronous rotor vibrations. J Mech Des 1980; 102: 168.

16.

Tingyue

. Contact stiffness and rotor dynamic characteristics of spline connection structure. Liaoning: Dalian University of Technology, 2021.

17.

Chunrong

Yinong

Zuocheng

. Nonlinear vibration of a bending-torsional coupled gear-rotor-bearing system. J Vib Eng 2018; 31: 238–244.

18.

Lin

H-H

Huston

, et al. On dynamic loads in parallel shaft transmissions: part I—modelling and analysis. J Mech Trans Autom Design 1988; 110: 221–225.

19.

Lin

Oswald

Townsend

. Dynamic loading of spur gears with linear or parabolic tooth profile modifications. Mech Mach Theory 1994; 29: 1115–1129.

20.

Tianxin

. Investigation on eccentric load and fretting wear of involute spline in friction clutch. Harbin, China: Harbin Engineering University, 2021.

21.

Jianguo

. Dynamic simulation study on involute splines meshing of servo driven pump based on ADAMS. Mach Tool Hydraulics 2014; 19: 166–168.

22.

Thir

Blomqvist

. Investigation of wear in spline coupling for saw unit JPS R5500. Halmstad, Sweden: Halmstad University, 2019.

23.

Caires

Brian

. Variation analysis of involute spline tooth contact. Utah, USA: Brigham Young University, 2006.

24.

Kahn-Jetter

Wright

. Finite element analysis of an involute spline. J Mech Des 2000; 122: 239–244.

25.

Yuanqiang

Jianfa

Shengqiang

. Research of misaligned load distribution of involute spline pair based on finite element method. J Mech Trans 2016; 40: 110–113.

26.

Dighe

Mishra

Wakchaure

. Investigation of wear resistance and torque transmission capacity of glass filled polyamide and PEEK composite spur gears. Int J Eng Adv Technol 2014; 3: 299–303.

27.

Illenberger

Tobie

Stahl

. Damage mechanisms and tooth flank load capacity of oil-lubricated peek gears. J Appl Polym Sci 2022; 139: 30.

28.

Xue

Liu

, et al. Nonlinear dynamic analysis of floating involute splines considering comprehensive misalignment. J Sound Vib 2023; 555: 117720.

29.

Johnson

. Contact mechanics. J Tribol 1985; 108: 464.

30.

Tingqing

. Theory of viscoelasticity. Hubei, China: Huazhong University of Science and Technology Press, 1990.

31.

Heinrich

. Über die beruhrung fester elastischer kӧrper (on the contact of elastic solids). J Reine und Angewandte Mathematik 1882; 92: 156–171. (in German).

32.

Editorial Board of Aircraft Engine Design Manual. Aircraft engine design manual Volume 19: Rotor dynamics and engine vibration. Beijing: Aviation Industry Press, 2000 (in Chinese).

33.

Yuandong

. Vibration analysis of aero-engine considering connecting stiffness and damping. Nanjing: Nanjing University of Aeronautics and Astronautics, 2010.

34.

Cornell

. Compliance and stress sensitivity of spur gear teeth. ASME Mech Design 1981; 103: 447–455.

35.

Oswald

Lin

Liou

C-H

, et al. Dynamic analysis of spur gears using computer program DANST. NASA 1993; 93: 2295.

36.

Luo

. Investigation on the influence of heat on the dynamic characteristics of a gear transmission system. Eng Fail Anal 2020; 116: 104724.

37.

Chang

. A generalized dynamic model for parallel shaft gear transmissions and the influences of dynamic excitations. 2014.

38.

Zhiliang

Wennian

Yimin

. A refined analytical model for the mesh stiffness calculation of plastic gear pairs. Appl Math Model 2021; 98: 71–89.

39.

Hunt

Crossley

. Coefficient of restitution interpreted as damping in vibroimpact. J Appl Mech 1975; 42: 440–445.

40.

. Machine dynamics. 2 version. Beijing: Higher Education Press, 2008, p. 315.

41.

Guang

Zhansheng

Feng

. Influences of spline coupling on stability of rotor-bearing system. J Vib Eng 2009; 22: 280–286.