This study examined the use of bond graphs for the modeling and simulation of a fluid power system component. A new method is presented for creating the bond graph model, based upon a previously developed mathematical model. A nonlinear dynamic bond graph model for a two-stage pressure relief valve has been developed in this paper. Bond graph submodels were constructed considering each element of the studied valve assembly. The overall bond graph model of the valve was developed by combining these submodels using junction structures. Causality was then assigned in order to obtain a computational model, which could be simulated. The simulation results of the causal bond graph model were compared with those of a mathematical model, which had been also developed in this paper based on the same assumptions. The results were found to correlate very well both in the shape of the curves, magnitude, and response times. The causal bond graph model was verified experimentally in the dynamic mode of operation. As a result of comparison, bond graphs can quickly and accurately model the dynamics in a fluid power control system component. During the simulation study, it was found that nonlinearity occur due to three factors: changes in pressure, which cause nonlinear velocity changes of the flow rate; changes in the throttling area of the valve restriction, which usually changes nonlinearly; and changes in the discharge coefficient of the throttling area of the valve restriction, which does not remain constant.

References

References
1.
Dasgupta
,
K.
, and
Murrenhoff
,
H.
,
2011
, “
Modeling and Dynamics of a Servo-Valve Controlled Hydraulic Motor by Bondgraph
,”
Mech. Mach. Theory
,
46
, pp.
1016
1035
.10.1016/j.mechmachtheory.2010.11.006
2.
Muvengei
,
M.
, and
Kihiu
,
J.
,
2011
, “
Bond Graph Modeling of Inter-Actuator Interactions in a Multi-Cylinder Hydraulic System
,”
Int. J. Aerosp. Mech. Eng.
,
5
(
3
), pp.
147
156
. Available at http://www.waset.org/journals/ijame/v5/v5-3-21.pdf
3.
Dasgupta
,
K.
,
Watton
,
J.
, and
Pan
,
S.
,
2006
, “
Open-Loop Dynamic Performance of a Servo- Valve Controlled Motor Transmission System With Pump Loading Using Steady-State Characteristics
,”
Mech. Mach. Theory
,
41
, pp.
262
282
.10.1016/j.mechmachtheory.2005.06.005
4.
Dasgupta
,
K.
, and
Watton
,
J.
,
2005
, “
Dynamic Analysis of Proportional Solenoid Controlled Piloted Relief Valve by Bondgraph
,”
Simul. Model. Pract. Theory
,
13
, pp.
21
38
.10.1016/j.simpat.2004.08.002
5.
Dasgupta
,
K.
, and
Karmakar
,
R.
,
2002
, “
Modelling and Dynamics of Single-Stage Pressure Relief Valve With Directional Damping
,”
Simul. Model. Pract. Theory
,
10
, pp.
51
67
.10.1016/S1569-190X(02)00059-X
6.
Gad
,
O.
,
2013
, “
Comprehensive Nonlinear Modeling of a Pilot Operated Relief Valve
,”
ASME J. Dyn. Sys., Meas., Control
,
135
(
1
), p.
011011
.10.1115/1.4006883
7.
Zung
,
P.-S.
, and
Perng
,
M.-H.
,
2002
, “
Nonlinear Dynamic Model of a Two-Stage Pressure Relief Valve for Designers
,”
ASME J. Dyn. Sys., Meas., Control
,
124
(
1
), pp.
62
66
.10.1115/1.1435363
8.
Shin
,
Y. C.
,
1991
, “
Static and Dynamic Characteristics of a Two Stage Pilot Relief Valve
,”
ASME J. Dyn. Sys., Meas., Control
,
113
(2)
, pp.
280
288
.10.1115/1.2896376
9.
Dasgupta
,
K.
, and
Karmakar
,
R.
,
2002
, “
Dynamic Analysis of Pilot Operated Pressure Relief Valve
,”
Simul. Model. Pract. Theory
,
10
(
2
), pp.
35
49
.10.1016/S1569-190X(02)00061-8
10.
Petherick
,
P. M.
, and
Birk
,
A. M.
,
1991
, “
State-of-the-Art Review of Pressure Relief Valve Design, Testing and Modeling
,”
ASME J. Press. Vess.
,
113
(
1
), pp.
46
54
.10.1115/1.2928727
11.
Merritt
,
H. E.
,
1967
,
Hydraulic Control Systems
,
John Wiley
,
New York
.
12.
Galal Rabie
,
M.
,
2009
,
Fluid Power Engineering
,
McGraw-Hill
,
New York
.
13.
Karnopp
,
D. C.
, and
Rosenberg
,
R. C.
,
1983
,
Introduction to Physical System Dynamics
,
McGraw-Hill
,
New York
.
14.
Gawthrop
,
P.
, and
Smith
,
L.
,
1996
,
Metamodeling: Bond Graphs and Dynamic Systems
,
Prentice Hall
,
Englewood Cliffs, NJ
.
15.
Controllab Products
,
2003
,
20-sim
, http://www.20sim.com
16.
The Math Works, Inc.
,
2002
,
Matlab
, Simulink Package version 7 R14, Natick, MA.
You do not currently have access to this content.