An automatic transmission (AT) hydraulic control system includes many spool-type valves that have highly asymmetric flow geometry. A simplified flow field model based on a lumped geometry is computationally efficient. However, it often fails to account for asymmetric flow characteristics, leading to an inaccurate analysis. An accurate analysis of their flow fields typically requires using the computational fluid dynamics (CFD) technique, which is numerically inefficient and time consuming. In this paper, a new hydraulic valve fluid field model is developed based on non-dimensional artificial neural networks (NDANNs) to provide an accurate and numerically efficient tool in AT control system design applications. A grow-and-trim procedure is proposed to identify critical non-dimensional inputs and optimize the network architecture. A hydraulic valve testing bench is designed and built to provide data for neural network model development. NDANN-based fluid force and flow rate estimators are established based on the experimental data. The NDANN models provide more accurate predictions of flow force and flow rates under broad operating conditions (such as different pressure drops and valve openings) compared with conventional lumped flow field models. Because of its non-dimensional characteristic, the NDANN fluid field estimator also exhibits good input-output scalability, which allows the NDANN model to estimate the fluid force and flow rate even when the operating condition parameter or design geometry parameters are outside the range of the training data. That is, although the operating/geometry parameter values are outside the range of the training sets, the non-dimensional values of the specific operating/geometry parameters are still within the training range. This feature makes the new model a potential candidate as a system design tool.

1.
Mencik, Z., Tobler, W., and Blumberg, P., 1978, “Simulation of Wide-open Throttle Vehicle Performance,” SAE technical paper 780289.
2.
Tsangarides, M., and Tobler, W., 1985, “Dynamic Behavior of a Torque Converter with Centrifugal Bypass Clutch,” SAE technical paper 850461.
3.
Fujii
,
Y.
,
Tobler
,
W. E.
, and
Snyder
,
T. D.
,
2001
, “
Prediction of Wet Band Brake Dynamic Engagement Behavior Part 2: Experimental Model Validation
,”
IMeche Journal of Automobile Engineering
,
215
(
5
), pp.
603
611
.
4.
Cao, M., Wang, K. W., Fujii, Y., and Tobler, W. E., 2001, “Application of Neural Net Friction Component Model in Automotive Drivetrain Simulations,” Proc. ASME IMECE 2001, paper DE-23252.
5.
Lee, S. Y., and Blackburn, J. F., 1952, “Contributions to Hydraulic Control-1. Steady-State Axial Forces on Control-Valve Pistons,” American Society of Mechanical Engineers-Transactions, 74(6), pp. 1005–1011.
6.
Lee, S. Y., and Blackburn, J. F., 1952, “Contributions to Hydraulic Control-2. Transient-Flow Forces and Valve Instability,” American Society of Mechanical Engineers-Transactions, 74(6), pp. 1013–1016.
7.
Merritt, Herbert E., 1967, Hydraulic Control Systems, John Wiley & Sons, Inc., New York, United States of America.
8.
Hori
,
A.
,
Tian
,
Q.
,
Sasaki
,
Y.
,
Takahashi
,
Y.
, and
Ito
,
J.
,
1995
, “
An Analysis on the Transient Axial Flow Force of an Oil Hydraulic Spool Valve
,”
JSME Int. J., Ser. B
,
95
(
8I
), pp.
234
237
.
9.
Tian
,
Q.
,
Sasaki
,
Y.
, and
Takahashi
,
Y.
,
1996
, “
Influence of Shapes of Sleeves on Steady Axial Flow Forces of Spool Valve
,”
J. of the Association of Materials Engineering for Resources
,
9
(
2
), pp.
64
71
.
10.
Miller, R. H., Fujii, Y., McCallum, J., Strumolo, G., Tobler, W. E., and Pritts, C., 1999, “Simulation of Steady-State Flow Forces on Spool-Type Hydraulic Valves,” SAE, 1999-01-1058.
11.
Vescovo
,
G. D.
, and
Lippolis
,
A.
,
2003
, “
Three-Dimensional Analysis of Flow Forces on Directional Control Valves
,”
International J of Fluid Power
,
4
(
2
), pp.
15
24
.
12.
Parlos
,
A. G.
,
Atiya
,
A. F.
,
Chong
,
K. T.
, and
Tsai
,
W. K.
,
1992
, “
Nonlinear Identification of Process Dynamics Using Neural Networks
,”
Nucl. Technol.
,
97
(
1
), pp.
79
96
.
13.
Cao, M., Wang, K. W., Fujii, Y., and Tobler, W. E., 2000, “Neural Network Based Automotive Clutch Model for Dynamic Engagement Analysis with Variable Time Steps,” Proc. ASME Advanced Vehicle Technologies, DE-106, pp. 141–153.
14.
Cao
,
M.
,
Wang
,
K. W.
,
Fujii
,
Y.
, and
Tobler
,
W. E.
,
2004
, “
A Hybrid Neural Network Approach for the Development of Friction Component Dynamic Model
,” ASME J. Dyn. Syst., Meas., Control, 126(1).
15.
Cybenko
,
G.
,
1989
, “
Approximation by Superpositions of a Sigmoidal Function
,”
Math. Control, Signals, Syst.
,
2
(
4
), pp.
303
314
.
16.
Funahashi
,
K.
,
1989
, “
On the Approximate Realization of Continuous Mapping by Neural Networks
,”
Neural Networks
,
2
(
3
), pp.
183
192
.
17.
Xue
,
Y.
, and
Watton
,
J.
,
1998
, “
Dynamics Modeling of Fluid Power Systems Applying a Global Error Descent Algorithm to a Self-organizing Radial Basis Function Network
,”
Mechatronics
,
8
(
7
), pp.
727
745
.
18.
Watton, J., and Xue, Y., 1998, “Simulation of Fluid Power Circuits Using Artificial Network Models Part 1, Selection of Component Models,” Proceedings, IMechE. Journal of Systems and Control Engineering, 211(16), pp. 417–428.
19.
Xue, Y., and Watton, J., 1998, “Simulation of Fluid Power Circuits Using Artificial Network Models. Part 2, Circuit Simulation,”Proceedings, IMechE. Journal of Systems and Control Engineering, 211(I6), pp. 429–438.
20.
Xu
,
P.
,
Burton
,
R. T.
, and
Sargent
,
C. M.
,
1996
, “
Experimental Identification of a Flow Orifice Using a Neural Network and the Conjugate Gradient Method
,”
ASME J. Dyn. Syst., Meas., Control
,
118
(
2
), pp.
272
277
.
21.
Wang, K. W., Cao, M., Parvataneni, V., and Tong, R., 2000, “Neural-Network-Based Dynamic Models for Clutch and Hydraulic Valve Systems,” Penn State Project Report to Ford, Dearborn, MI.
22.
Schreck
,
Scott J.
, and
Helin
,
Hank E.
,
1994
, “
Unsteady Vortex Dynamics and Surface Pressure Topologies on a Finite Pitching Wing
,”
J. Aircr.
,
31
(
4
), pp.
899
907
.
23.
Faller
,
William E.
,
Schreck
,
Scott J.
, and
Helin
,
Hank E.
,
1995
, “
Real-Time Model of Three-Dimensional Dynamic Reattachment Using Neural Networks
,”
J. Aircr.
,
32
(
6
), pp.
1177
1182
.
24.
Faller
,
William E.
, and
Schreck
,
Scott J.
,
1995
, “
Real-Time Prediction of Unsteady Aerodynamics: Application for Aircraft Control and Maneuverability Enhancement
,”
IEEE Trans. Neural Netw.
,
6
(
6
), pp.
1461
1468
.
25.
Faller
,
William E.
, and
Schreck
,
Scott J.
,
1997
, “
Unsteady Fluid Mechanics Applications of Neural Networks
,”
J. Aircr.
,
34
(
1
), pp.
48
55
.
26.
DeVries, L., 2003, “Automotive Transmission Spool Valve Test Stand Development for Axial Flow Force Modeling,” M.S. Thesis in Mechanical Engineering, the Pennsylvania State University.
27.
Cao, M., 2003, “Modeling, Control and Design of Automotive Transmission Components Based on Artificial Neural Network (ANN),” Ph.D. Thesis in Mechanical Engineering, the Pennsylvania State University.
28.
Mises
,
Von
,
1917
, “
Berechnung von Ausfluss-und Uberfallzahlen (Calculation of Discharge and Weir Coefficients)
,”
Zeitschrift des Vereines deutscher Ingenieure
,
61
, pp.
144
153
.
29.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1986, Numerical Recipes: The Art of Scientific Computing, Cambridge University Press, Cambridge, England.
You do not currently have access to this content.