Abstract
Background
Particle damping materials convert the kinetic energy of the system into other forms of energy through friction and collision between particles and between the particles and container wall. Gear transmission is advancing toward higher speeds, heavier loads, and lower noise.
Purpose
In order to reduce the vibration in the gear transmission without changing the original structure, particle damping is used in the paper.
Methods
The equivalent displacement mapping of the gear contact load from the non-continuous domain to continuous element nodes was realized using the combined gear dynamics and discrete element method (DEM). Furthermore, the bidirectional transfer of load boundary conditions in the continuous domain and displacement boundary conditions in the discrete element domain were realized in the same calculation model.
Results
At low rotating speeds, the best vibration reduction occurred at the particle friction coefficient of approximately 0.43. At high rotating speeds, the best vibration reduction occurred at the particle friction coefficient of approximately 0.22.
Conclusions
The vibration acceleration of the gear decreases significantly after the particle damper is added, confirming its vibration damping effect. This research has significant potential for vibration and noise reduction in gear transmission systems.
Similar content being viewed by others
References
Wang J, He G, Zhang J, Zhao Y, Yao Y (2017) Nonlinear dynamics analysis of the spur gear system for railway locomotive. Mech Syst Signal Process 85:41–55. https://doi.org/10.1016/j.ymssp.2016.08.004
Richards D, Pines DJ (2003) Passive reduction of gear mesh vibration using a periodic drive shaft. J Sound Vib 264:317–342. https://doi.org/10.1016/S0022-460X(02)01213-0
Ghosh SS, Chakraborty G (2016) On optimal tooth profile modification for reduction of vibration and noise in spur gear pairs. Mech Mach Theory 105:145–163. https://doi.org/10.1016/j.mechmachtheory.2016.06.008
Wang Y, Cao D, Yang Y, Zhang L (2013) Bending-torsion coupling vibration suppression of a rotor-gear transmission system using a new type damping ring. J Chem Inf Model 53:1689–1699. https://doi.org/10.1017/CBO9781107415324.004
N Peng, R Zhu, H Bao, F Lu (2014) Study on the influence of type C damping ring structure parameter on dynamics characteristic of bevel gear transmission. In: Proceedings of the 8th Biennial Conference of the International Academy of Commercial and Consumer Law. 1:43. https://doi.org/10.1017/CBO9781107415324.004
Kurushin M, Balyakin V, Ossiala V (2017) Investigation of the dynamics of gear systems with consideration of a pinion support flexibility. Procedia Eng 176:25–36. https://doi.org/10.1016/j.proeng.2017.02.269
Kayabasi O, Erzincanli F (2007) Shape optimization of tooth profile of a flexspline for a harmonic drive by finite element modelling. Mater Des 28:441–447. https://doi.org/10.1016/j.matdes.2005.09.009
Lu Z, Lv X, Yan W (2013) A survey of particle damping technology. J Vib Shock 32:1–7
Chatterjee S, Mallik AK, Ghosh A (1995) On impact dampers for non-linear vibrating systems. J Sound Vib 187:403–420. https://doi.org/10.1006/jsvi.1995.0532
Gagnon L, Morandini M, Ghiringhelli GL (2019) A review of particle damping modeling and testing. J Sound Vib. https://doi.org/10.1016/j.jsv.2019.114865
Mao K, Wang MY, Xu Z, Chen T (2004) DEM simulation of particle damping. Powder Technol 142:154–165. https://doi.org/10.1016/j.powtec.2004.04.031
Wei H, Nie H, Li Y, Saxén H, He Z, Yu Y (2020) Measurement and simulation validation of DEM parameters of pellet, sinter and coke particles. Powder Technol 364:593–603. https://doi.org/10.1016/j.powtec.2020.01.044
Papalou A, Strepelias E, Roubien D, Bousias S, Triantafillou T (2015) Seismic protection of monuments using particle dampers in multi-drum columns. Soil Dyn Earthq Eng 77:360–368. https://doi.org/10.1016/j.soildyn.2015.06.004
Yan W, Wang J, Xu W (2014) Experimental research on the control mechanism of particle damping based on a single degree of freedom structure. Tumu Gongcheng Xuebao/China Civ Eng J 47:76–82. https://doi.org/10.15951/j.tmgcxb.2014.s1.014
Chen J, Chen Q (2019) Study of particle damping technology in noise reduction of centrifugal fan, Chinese. J Turbomach 61:63–66
Xia ZW, Shan YC, Liu XD (2007) Experimental research on particle damping of cantilever beam. Hangkong Dongli Xuebao/J Aerosp Power 22:1737–1741
Xiao W, Xiu Z, Bian H (2018) Research on lightweight of cnc machine tools based on particle damping technology. Aeronaut Manuf Technol 61:40–47
Xiao W, Lu D, Song L, Yang Z, Li Z (2019) Vibration comfort of mining dump truck based on particle damping. J Traffic Transp Eng 19:111–124
Xiao W, Huang Y, Li W, Lin H, Chen Z (2017) Influence of particle damper configurations on the dynamic characteristic for gear transmission system. J Mech Eng 53:1–12. https://doi.org/10.3901/JME.2016.07.001
Chen Q, Ma Y, Huang S, Zhai H (2014) Research on gears’ dynamic performance influenced by gear backlash based on fractal theory. Appl Surf Sci 313:325–332. https://doi.org/10.1016/j.apsusc.2014.05.210
Zhu LY, Shi JF, Gou XF (2020) Modeling and dynamics analyzing of a torsional-bending-pendular face-gear drive system considering multi-state engagements. Mech Mach Theory 149:103790. https://doi.org/10.1016/j.mechmachtheory.2020.103790
Wang J, Li R (1998) The theoretical system of the gear vibration theory, China. Mech Eng 12:61-64+66
Chung YC, Wu YR (2019) Dynamic modeling of a gear transmission system containing damping particles using coupled multi-body dynamics and discrete element method. Nonlinear Dyn 98:129–149. https://doi.org/10.1007/s11071-019-05177-1
Fan T, Liu M, Ma H, Shao Y, Liu B, Zhao Y (2020) DEM simulation for separating coated fuel particles by inclined vibrating plate. Powder Technol 366:261–274. https://doi.org/10.1016/j.powtec.2020.02.060
Danesh A, Mirghasemi AA, Palassi M (2020) Evaluation of particle shape on direct shear mechanical behavior of ballast assembly using discrete element method (DEM). Transp Geotech. https://doi.org/10.1016/j.trgeo.2020.100357
Zhou X, Xu W, Niu X, Cui Y (2007) A review of distinct element method researching progress and application. Rock Soil Mech 28:408–416
Lu Z, Lu X (2013) Numerical simulation of vibration control effects of particle dampers. Tongji Daxue Xuebao/J Tongji Univ. https://doi.org/10.3969/j.issn.0253-374x.2013.08.004
Zhang R, Tang Z (2010) A multiscale method of time and space by coupling three-dimensional DEM and cylindrical shell FEM. Eng Mech 27:44–50
Du B, Zhao C, Dong G, Bi J (2017) FEM-DEM coupling analysis for solid granule medium forming new technology. J Mater Process Technol 249:108–117. https://doi.org/10.1016/j.jmatprotec.2017.05.024
Funding
This work was supported by the National Natural Science Foundation of China [No.51875490]; Aeronautical Power Foundation of China [No.6141B09050346]; Guangdong Basic and Applied Basic Research Foundation [No.2020A1515010843]; and Fundamental Research Funds for the Central Universities (CN) [No.20720210042].
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Xiao, W., Shi, J., Qin, K. et al. Effect of Particle Friction Coefficient on Vibration Reduction in Gear Transmission. J. Vib. Eng. Technol. 10, 727–740 (2022). https://doi.org/10.1007/s42417-021-00402-x
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42417-021-00402-x