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RESEARCH PAPER
Influence of the movement of involute profile gears along the off-line of action on the gear tooth position along the line of action direction
 
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Lublin University of Technology, ul. Nadbystrzycka 36, 20-618 Lublin, Poland
 
 
Publication date: 2021-12-31
 
 
Eksploatacja i Niezawodność – Maintenance and Reliability 2021;23(4):736-744
 
HIGHLIGHTS
  • Algorithm for finding the exact value of normal backlash is presented.
  • Influence of gear parameters on normal backlash for gear OLOA displacement is checked.
  • Dynamic simulation is performed and several aspects are analyzed.
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ABSTRACT
When gears change their distance along the off-line of action (OLOA) direction, this affects the distance between the working surfaces of the meshing teeth along the line of action (LOA). This effect is usually neglected in studies. To include this effect precise equations are derived for spur gears. The analysis is carried out for the general case of spur gears with shifted profiles frequently used in the industry. The influence of OLOA gear displacement on LOA direction is also a function of gears parameters. An analysis is conducted, and the impact of parameters such as module, pressure angle, gear ratio, and the number of teeth is determined. As an example, a simulation of a 12 DOF analytical model is presented. The movement of gears along OLOA is caused by a frictional force that can be high during tooth degradation e.g. scuffing. Results show that when the movement of gears along the OLOA direction is significant, its influence on the distance between the mating teeth should not be neglected.
REFERENCES (27)
1.
Cao H, Shi F, Li Y et al. Vibration and stability analysis of rotor-bearing-pedestal system due to clearance fit. Mechanical Systems and Signal Processing 2019; 133: 106275, https://doi.org/10.1016/j.ymss....
 
2.
Chen G, Qu M. Modeling and analysis of fit clearance between rolling bearing outer ring and housing. Journal of Sound and Vibration 2019; 438: 419-440, https://doi.org/10.1016/j.jsv.....
 
3.
Chernets M. Method of calculation of tribotechnical characteristics of the metal-polymer gear, reinforced with glass fiber, taking into account the correction of tooth. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2019; 21(4): 546-552, https://doi.org/10.17531/ein.2....
 
4.
Cirelli M, Giannini O, Valentini P P, Pennestrì E. Influence of tip relief in spur gears dynamic using multibody models with movable teeth. Mechanism and Machine Theory 2020, https://doi.org/10.1016/j.mech....
 
5.
Dai H, Long X, Chen F, Xun C. An improved analytical model for gear mesh stiffness calculation. Mechanism and Machine Theory 2021; 159: 104262, https://doi.org/10.1016/j.mech....
 
6.
Fernandez-del-Rincon A, Garcia P, Diez-Ibarbia A et al. Enhanced model of gear transmission dynamics for condition monitoring applications: Effects of torque, friction and bearing clearance. Mechanical Systems and Signal Processing 2017; 85: 445-467, https://doi.org/10.1016/j.ymss....
 
7.
Guangjian W, Lin C, Li Y, Shuaidong Z. Research on the dynamic transmission error of a spur gear pair with eccentricities by finite element method. Mechanism and Machine Theory 2017; 109: 1-13, https://doi.org/10.1016/j.mech....
 
8.
Isaacson A C, Wagner M E. Oil-off characterization method using in-situ friction measurement for gears operating under loss-of-lubrication conditions. American Gear Manufacturers Association Fall Technical Meeting 2018: 46-54.
 
9.
ISO 1328-2 1997 - Cylindrical gears-ISO system of accuracy.
 
10.
Jedlinski L. Analysis of the influence of gear tooth friction on dynamic force in a spur gear. Journal of Physics: Conference Series 2021, https://doi.org/10.1088/1742-6....
 
11.
Jedliński Ł. New Analytical Model of Spur Gears with 5 DOF Shafts and its Comparison with Other DOF Models. Advances in Science and Technology Research Journal 2021; 15(1): 79-91, https://doi.org/10.12913/22998....
 
12.
Liu C, Yin X, Liao Y et al. Hybrid dynamic modeling and analysis of the electric vehicle planetary gear system. Mechanism and Machine Theory 2020; 150: 103860, https://doi.org/10.1016/j.mech....
 
13.
Liu H, Zhang C, Xiang C L, Wang C. Tooth profile modification based on lateral- torsional-rocking coupled nonlinear dynamic model of gear system. Mechanism and Machine Theory 2016; 105: 606-619, https://doi.org/10.1016/j.mech....
 
14.
Liu Z, Liu Z, Zhao J, Zhang G. Study on interactions between tooth backlash and journal bearing clearance nonlinearity in spur gear pair system. Mechanism and Machine Theory 2017; 107: 229-245, https://doi.org/10.1016/j.mech....
 
15.
Michalczewski R, Kalbarczyk M, Michalak M et al. New Scuffing Test Methods for the Determination of the Scuffing Resistance of Coated Gears. Tribology - Fundamentals and Advancements 2013, https://doi.org/10.5772/54569.
 
16.
Mohsenzadeh R, Shelesh-Nezhad K, Chakherlou T N. Experimental and finite element analysis on the performance of polyacetal/carbon black nanocomposite gears. Tribology International 2021; 160: 107055, https://doi.org/10.1016/j.trib....
 
17.
Shi J fei, Gou X feng, Zhu L yun. Modeling and analysis of a spur gear pair considering multi-state mesh with time-varying parameters and backlash. Mechanism and Machine Theory 2019; 134: 582-603, https://doi.org/10.1016/j.mech....
 
18.
Skrickij V. Viktor Skrickij Marijonas Bogdevičius Rasa Žygienė. Evaluation of the spur gear condition using extended frequency range. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2017; 19(3): 476-484, https://doi.org/10.17531/ein.2....
 
19.
Tiwari M, Gupta K, Prakash O. Effect of radial internal clearance of a ball bearing on the dynamics of a balanced horizontal rotor. Journal of Sound and Vibration 2000; 238(5): 723-756, https://doi.org/10.1006/jsvi.1....
 
20.
Tomović R. Calculation of the necessary level of external radial load for inner ring support on q rolling elements in a radial bearing with internal radial clearance. International Journal of Mechanical Sciences 2012; 60(1): 23-33, https://doi.org/10.1016/j.ijme....
 
21.
Walha L, Fakhfakh T, Haddar M. Nonlinear dynamics of a two-stage gear system with mesh stiffness fluctuation, bearing flexibility and backlash. Mechanism and Machine Theory 2009; 44(5): 1058-1069, https://doi.org/10.1016/j.mech....
 
22.
Wang S, Zhu R. Theoretical investigation of the improved nonlinear dynamic model for star gearing system in GTF gearbox based on dynamic meshing parameters. Mechanism and Machine Theory 2021; 156: 104108, https://doi.org/10.1016/j.mech....
 
23.
Wang Z, Zhu C. A new model for analyzing the vibration behaviors of rotor-bearing system. Communications in Nonlinear Science and Numerical Simulation 2020; 83: 105130, https://doi.org/10.1016/j.cnsn....
 
24.
Xiao Y, Fu L, Luo J et al. Nonlinear dynamic characteristic analysis of a coated gear transmission system. Coatings 2020; 10(1): 4-6, https://doi.org/10.3390/coatin....
 
25.
Yi Y, Huang K, Xiong Y, Sang M. Nonlinear dynamic modelling and analysis for a spur gear system with time-varying pressure angle and gear backlash. Mechanical Systems and Signal Processing 2019; 132: 18-34, https://doi.org/10.1016/j.ymss....
 
26.
Zhang X, Zhao J. Compound fault detection in gearbox based on time synchronous resample and adaptive variational mode decomposition. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2020; 22(1): 161-169, https://doi.org/10.17531/ein.2....
 
27.
Zhao Z, Han H, Wang P et al. An improved model for meshing characteristics analysis of spur gears considering fractal surface contact and friction. Mechanism and Machine Theory 2021; 158: 104219, https://doi.org/10.1016/j.mech....
 
 
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eISSN:2956-3860
ISSN:1507-2711
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