A numerical bifurcation study of friction effects in a slip-controlled torque converter clutch |
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Authors: | Firoz Ali Jafri Amit Shukla David F Thompson |
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Institution: | (1) Department of Mechanical, Industrial and Nuclear Engineering, University of Cincinnati, P.O. Box 210072, Cincinnati, OH 45221-0072, USA;(2) Department of Mechanical and Manufacturing Engineering, Miami University, Oxford, OH 45056-3657, USA |
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Abstract: | Friction plays a key role in the efficiency and stability of the slip-controlled torque converter clutches. The effects of
friction on the dynamics and stability of a slip-controlled torque converter clutch system using a bifurcation-analysis-based
approach is presented in this paper. A three degree-of-freedom nonlinear driveline model with integral feedback action to
control the clutch slip speed has been utilized for this study. The clutch interface friction is dependent on the slip speed
and is a function of the static friction constant, μ
0, the low velocity friction constant μ
1, and the low velocity exponential rate, γ. Using one-parameter numerical continuation, local Hopf bifurcations of the subcritical type are observed as the friction
parameters μ
1 and γ were varied at low slip speeds. The continuation results are verified using simulations of the full nonlinear model. Stick-slip
and undesirable oscillations of the model inertia elements are observed for certain parameter values. As the slip speed is
increased, the bifurcation instability occurs at an increasingly higher value of μ
1 signifying an improved tolerance of negative friction gradient at higher slip speeds. Smaller exponential rates γ are tolerated at higher slip speeds before the bifurcation instability occurs. For the range of parameter values considered,
no bifurcations occur for a slip speeds higher than 3.4 and 4.5 rad/s with μ
1 and γ as the continuation parameters, respectively. These values of slip speeds are much lower than the system’s first mode of
torsional vibration of 16 Hz (≈100 rad/s). |
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Keywords: | Slip-controlled torque converter clutch Local bifurcations Friction Equilibrium continuation |
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