Proceedings of SerbiaTrib '13

5E-06The total displacement [m]4.5E-064E-063.5E-063E-062.5E-062E-06Penalty methodAugmented methodThe contact pressure [MPa]1.7 FKN = 0.01FKN = 0.1FKN = 1FKN = 001.61.51.41.31.5E-060.065 0.07 0.075 0.08 0.085r[m]Figure 11. The variation of total displacement with discradius (flywheel / clutch disc)The total displacement [m]3E-052.8E-052.6E-052.4E-052.2E-052E-05Penalty methodAugmented method0.065 0.07 0.075 0.08 0.085r[m]Figure 12. The variation of total displacement with discradius (pressure plate / clutch disc)The contact pressure [MPa]1.7 FKN = 0.01FKN = 0.1FKN = 1FKN = 101.61.51.41.31.20.065 0.07 0.075 0.08 0.085r[m]Figure 13. The variation of contact pressure with discradius using Penalty method (flywheel / clutch disc)1.20.065 0.07 0.075 0.08 0.085r[m]Figure 14. The variation of contact pressure with discradius using augmented Lagrange algorithm (flywheel /clutch disc)5. CONCLUSIONS AND REMARKSThe variations of the contact pressure, totalcontact stress and total displacements of the frictionclutch using different contact algorithms anddifferent values of FKN are investigated. Twodimensionalaxisymmetric finite element model forthe contact elements of clutch were conducted toobtain the numerical results.The present work presents a simplified model ofclutch to determine the contact pressure betweencontact surfaces during a full engagement period.The conclusions obtained from the presentanalysis are summarized as follows:1. The value of FKN is very important andeffective on the values of contact pressure, thecontact pressure is directly proportional to FKNfor both contact methods (penalty andaugmented).2. The penalty method has sensitivity for FKNmore than the augmented method.3. The maximum and minimum values of contactpressure and total contact stress occur at outerdisc radius and inner disc radius, respectively.The permanent deformations and thermal crackson the contact surfaces of clutch if taken intoconsideration will affect the contact pressuredistribution and the actual contact area will change.These disadvantages will focus the contact pressureon small region compared with the nominal contactarea.REFERENCES[1] Abdullah M. Al-Shabibi and James R. Barber:Transient Solution of The UnperturbedThermoelastic Contact Problem, J. thermal stresses,Vol. 32, pp. 226-243, 2009.13 th International Conference on Tribology – Serbiatrib’13 215