Abstract
This study aims to solve the transmission failure caused by warping and crackling on frictional and steel disks of a wet multi-disk clutch. Thus, a dynamic model is proposed to describe the transient contact process of the disks, as well as the heat transfer laws, during the engagement of the clutch using the commercial software MSC/NASTRAN. Moreover, the heat transfer laws, which varies with engagement time within a contact area, is investigated. On the basis of these results, some rules for heat conduction in a wet multi-disk clutch are developed. By measuring the pressure and temperature of the inlet and outlet of the clutch, the correctness of the theoretical analysis method is indirectly verified.
Funding statement: This study was supported by project No. 106112016CDJXY33003 and No. 106112015CDJZR335503 from the Fundamental Research Funds for the Central Universities, and the independent research funds of State Key Laboratory of Mechanical Transmission under grant SKLMT-ZZKT-2017M13.
Nomenclature
contact interface
z coordinate
steel disk
transient temperature field
- t
time
the three coordinates of cylindrical coordinate
relative sliding angular velocity between the steel and friction disks
local pressure on the
heat flowing into the steel disk
heat transfer coefficient
total number of finite-element nodes in the steel disk
specific heat capacity and density of the
shape function
temperature of the ith node of the steel disk
the heat flux of heat input on contact surface
the positive pressure of friction plates
relative slipping velocity
the distance from any point on the surface of friction to the center
the initial angular velocity of steel disk before engaging
the angular velocity of steel disk during engagement
the angular velocity of frictional disk during engagement
the engagement time of clutch
the convective heat transfer coefficient on the surface of a plate
the Prandtl number
the Reynolds number
the Nusselt number
the proportional constant
the temperature distribution index of disk
the oil temperature of entrance
References
[1] P. Zagrodzki and T.D. Farris Analysis of temperatures and stresses in wet friction disks involving thermally induced changes of contact pressure. Sae Technical Papers, 1998.10.4271/982035Search in Google Scholar
[2] P. Zagrodzki Influence of design and material factors on thermal stresses in multiple disc wet clutches and brakes. International Off-Highway & Powerplant Congress & Exposition. 1991.10.4271/911883Search in Google Scholar
[3] T.C. Jen and D.J. Nemecek Thermal analysis of a wet-disk clutch subjected to a constant energy engagement, Int. J. Heat. Transfer. 51(7–8) (2008), 1757–1769.10.1016/j.ijheatmasstransfer.2007.07.009Search in Google Scholar
[4] A.E. Anderson and R.A. Knapp Hot spotting in automotive friction systems ☆, Wear. 135(2) (1990), 319–337.10.1016/0043-1648(90)90034-8Search in Google Scholar
[5] P. Zagrodzki and S.A. Truncone Generation of hot spots in a wet multi-disk clutch during short-term engagement, Wear. 254(5–6) (2003), 474–491.10.1016/S0043-1648(03)00019-XSearch in Google Scholar
[6] P. Marklund and R. Larsson Wet clutch friction characteristics obtained from simplified pin on disc test, Tribology Int. 41(9–10) (2008), 824–830.10.1016/j.triboint.2007.11.014Search in Google Scholar
[7] C. Cho and S. Ahn Transient thermoelastic analysis of disk brake using the fast Fourier transform and finite element method, J. Therm. Stresses. 25(3) (2002), 215–243.10.1080/014957302317262288Search in Google Scholar
[8] J. Li and J.R. Barber Solution of transient thermoelastic contact problems by the fast speed expansion method, Wear. 265(3–4) (2008), 402–410.10.1016/j.wear.2007.11.010Search in Google Scholar
[9] J.R. Barber, T.W. Beamond, J.R. Waring, et al., Implications of thermoelastic instability for the design of brakes, J. Tribol. 107(2) (1985), 206–210.10.1115/1.3261021Search in Google Scholar
[10] A. Azarkhin and J.R. Barber Transient thermoelastic contact problem of two sliding half-planes, Wear. 102(1) (1985), 1–13.10.1016/0043-1648(85)90086-9Search in Google Scholar
[11] P. Zagrodzki Analysis of thermomechanical phenomena in multidisc clutches and brakes, Wear. 140(2) (1990), 291–308.10.1016/0043-1648(90)90091-NSearch in Google Scholar
[12] S.H. Ahn and H.J. Yong Frictionally excited thermo-elastoplastic instability, Tribology Int. 43(4) (2010), 779–784.10.1016/j.triboint.2009.11.002Search in Google Scholar
[13] S.W. Lee and H.J. Yong Frictionally excited thermoelastic instability in a thin layer of functionally graded material sliding between two half-planes, Wear. 267(9) (2009), 1715–1722.10.1016/j.wear.2009.06.037Search in Google Scholar
[14] J. Awrejcewicz and D. Grzelczyk Modelling and analysis of thermal processes in mechanical friction clutch: Numerical and experimental investigations. Conference on Dynamical Systems - Theory and Applications. 2011686–696.Search in Google Scholar
[15] J. Awrejcewicz and D. Grzelczyk, Modeling and analysis of thermal processes in mechanical friction clutch numerical and experimental investigations, Int. J. Structural Stability Dyn. 13(7) (2013), 1340004–1 – 1340004–18.10.1142/S021945541340004XSearch in Google Scholar
[16] M.-B. Ali-Belhocine Thermo-mechanical coupled analysis of automotive brake disc, Int. J. Precis. Eng. Manuf. 14(9) (2013), 1591–1600.10.1007/s12541-013-0215-7Search in Google Scholar
[17] H.J. Yong and S.H. Ahn Frictionally-excited thermoelastic instability in functionally graded material, Wear. 262(9) (2007), 1102–1112.10.1016/j.wear.2006.11.011Search in Google Scholar
[18] J. Voldřich Frictionally excited thermoelastic instability in disc brakes—Transient problem in the full contact regime, Int. J. Mech. Sci. 49(2) (2007), 129–137.10.1016/j.ijmecsci.2006.08.008Search in Google Scholar
[19] T.J. Lin, S.J. Zhang and H.S. Lv, Analysis of oil pressure distribution influenced by channel flow structure of wet friction clutch, J. Chongqing Univ., Master Thesis (2010).Search in Google Scholar
[20] S.J. Zhang, T.J. Lin and L.V. He-Sheng Influence of friction disk oil groove of wet friction clutch on transient heat transfer, J. Mach. Des. 26(11) (2009), 34–37.Search in Google Scholar
[21] T.J. Lin, R.F. Li, C.Y. Yang, et al., Numerical simulation of transient heat transfer process for wet friction clutch, Mech. Sci. Technol., Master Thesis (2003).Search in Google Scholar
[22] G.S. Brady, H.R. Clauser and J.A. Vaccari, Materials handbook, McGraw-Hill Professional, New York, 2002.Search in Google Scholar
[23] Y. Wang and B. Wei Wet multi-disc friction components heat dissipation capability and optimal oil supply under continuous braking condition, Ind. Lubr. Tribol. 66(6) (2014), 653–661.10.1108/ILT-06-2012-0060Search in Google Scholar
[24] N. Patir and H.S. Cheng Prediction of the bulk temperature in spur gears based on finite element temperature analysis, Tribology Trans. 22(1) (1977), 25–36.10.1080/05698197908982899Search in Google Scholar
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