ABSTRACT
The objective of
this investigation is to characterize the
torsional characteristics of the hydrodynamic torque
converter. Analytical and experimental techniques are used to
quantify the relationship between torsional oscillations
imposed on the pump to those at the turbine as a function of
frequency, operating point and design. A detailed model of
the hydrodynamic torque converter based upon one-
dimensional flow theory is used to establish fundamental
torsional behavior independent of the downstream
mechanical system. A simplified linear spring-mass-damper
representation of the hydrodynamic torque converter is
derived whose coefficients are proportional to pump speed
for a particular design. A transmission dynamometer test cell
with the capability to produce torsional oscillations was used
to develop frequency response functions for various torque
converters in a transmission, operating at steady state
conditions. It was found that the torque converter behaves
like a low pass filter with a cutoff frequency dependent upon
operating speed, torque and design. Angular vibrations below
20 Hz were found to pass through the torque converter with
sufficient energy to excite natural frequencies of downstream
drivetrain components.
INTRODUCTION
A significant amount of published literature exists on torque
converter operation, design optimization, analysis or testing
of internal flow and cavitation, which the reader is referred to
[1, 2, 3, 4] for more detail. There is also substantial published
work on
torque converter modeling to assess the complete
drivetrain for low frequency dynamic behavior, typically less
than 10 Hz, see [ 5, 6, 7, 8, 9, 10]. However, a survey of the
literature revealed
little if any discussion on the
characteristics of the torque converter represented as a spring,mass, damper torsional element. More specifically limited
published information exists
about how the torque converter
behaves as a function of frequency in coupling with the
upstream and downstream components. The objective of this
paper is to quantify its frequency response function using
analytical models and test measurements obtained using a
transmission dynamometer test cell.
The most fundamental relationship for any torque converter is
its K-factor, given by,
(1)
which states that
for an operating condition the ratio of pump
speed to the square root of pump torque is a constant. The K-
factor relationship is not a constant over an entire engine -
transmission input (turbine) speed range, but is a function of
the ratio of turbine to pump speed, referred to speed ratio, SR.
From the definition of damping for a torsional system, it can
be seen that K-factor can be rearranged and differentiated on
speed to become a steady state damper rating for the torque
converter, as noted in equation 2:
(2)
The steady state
damper rating from equation 2 is simply the
tangent of the
pump torque - pump speed curve, as shown in
Figure 1 for three speed ratios typical of positive engine
torque operation. A
couple of things to note from Figure 1 are
that as pump
(engine) speed increases, damping increases and
as SR increases, damping decreases. Both of these
observations are fundamentally expected.
Dynamic Torque Characteristics of the
Hydrodynamic Torque Converter2011-01-1540
Published
05/17/2011
Darrell Robinette, Michael Grimmer and Randall Beikmann
General Motors Company
Copyright © 2011 SAE International
doi:10.4271/2011-01-1540
SAE Int. J. Passeng. Cars - Mech. Syst. | Volume 4 | Issue 2
1023Downloaded from SAE International by University of Michigan, Sunday, July 29, 2018The conventional notion is that fluids in shear cannot transfer
high frequency torsional
vibration. As engine speed increases
so too does engine firing frequency, leading to higher
damping. At SR's above the coupling point, pump and turbine
speeds are nearly equivalent, and torque is no longer
multiplied, the flow velocity within the converter torus
decreases sharply. A
SAE_2011-01-1540_GM_Dynamic Torque Characteristics of the Hydrodynamic Torque Converter
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