A profiled chamber metering pump (PCMP) is a new type of positive-displacement vane pump which is composed of a special stator and a rotor–slide assembly. The face-shaped curve of the inner chamber of the stator is formed by means of two quarter circular arcs and two quarter noncircular arcs, and one of the two quarter noncircular arcs is defined as transition curve. The geometry of the transition curve directly affects the dynamic performances of the pump system, including its mechanical vibration, friction, wear, and kinetic losses. This paper discusses a set of dynamic analysis methods that combine kinetic loss control with vibration control for optimization of the transition curve of the PCMP. At first, basic conception and work line on the method are explained. In a second step, by means of force analysis, a kinetic loss model is established. Then, the model is used to examine a group of vibration optimized curves in polynomial form, and kinetic losses caused by different mechanical resistance forces are calculated. Finally, through a comparison analysis together with vibration and kinetic losses, comprehensive optimal transition curves can be obtained.

References

References
1.
Lu
,
Y.
, and
Lei
,
H.
,
2015
, “
Metering Pump With Special-Shaped Cavity
,” U.S Patent No. 8,974,206 B2.
2.
Lu
,
Y.
,
2007
, “
Profiled Chamber Flow-Meter
,” Chinese Patent No. CN101149284.
3.
Lei
,
H.
,
Jiang
,
G.-L.
,
Jiang
,
Z.-Y.
,
Wu
,
S.-Y.
, and
Lu
,
Y.
,
2010
, “
Profiled Chamber Flow Sensor
,”
Chin. J. Zhejiang Univ. (Eng. Sci.)
,
44
(
8
), pp.
1535
1539
.
4.
Jenson
,
P.-W.
,
1987
,
Cam Design and Manufacture
,
2nd ed.
,
Marcel Dekker
,
New York
.
5.
Rothbart
,
H.-A.
,
2003
,
Cam Design Handbook
,
McGraw-Hill Handbooks
, New York.
6.
Lampinen
,
J.
,
2003
, “
Cam Shape Optimisation by Genetic Algorithm
,”
Comput. Aided Des.
,
35
(
8
), pp.
727
737
.
7.
Bravo
,
R.-H.
, and
Flocker
,
F.-W.
,
2011
, “
Optimizing Cam Profiles Using the Particle Swarm Technique
,”
ASME J. Mech. Des.
,
133
(
9
), pp.
1
11
.
8.
Flocker
,
F.-W.
,
2007
, “
Controlling the Frequency Content of Inertia Forces in Dwelling Cam-Follower Systems
,”
ASME J. Mech. Des.
,
129
(
8
), pp.
546
552
.
9.
Acharyya
,
S.
, and
Naskar
,
T.-K.
,
2008
, “
Fractional Polynomial Mod Traps for Optimization of Jerk and Hertzian Contact Stress in Cam Surface
,”
Comput. Struct.
,
86
(
3–5
), pp.
322
329
.
10.
Flocker
,
F.-W.
,
2012
, “
A Versatile Cam Profile for Controlling Interface Force in Multiple-Dwell Cam-Follower Systems
,”
ASME J. Mech. Des.
,
134
(
9
), p.
094501
.
11.
Qiu
,
H.
,
Lin
,
C.-J.
,
Li
,
Z.-Y.
,
Ozaki
,
H. I.
,
Wang
,
J.
, and
Yue
,
Y.
,
2005
, “
A Universal Optimal Approach to Cam Curve Design and Its Applications
,”
Mech. Mach. Theory
,
40
(
6
), pp.
669
692
.
12.
Flocker
,
F.-W.
,
2009
, “
Addressing Cam Wear and Follower Jump in Single-Dwell Cam-Follower Systems With an Adjustable Modified Trapezoidal Acceleration Cam Profile
,”
ASME J. Eng. Gas Turbines Power
,
131
(
3
), pp.
1
8
.
13.
Yoon
,
K.
, and
Rao
,
S. S.
,
1993
, “
Cam motion Synthesis Using Cubic Splines
,”
ASME J. Mech. Des.
,
115
(
3
), pp.
441
446
.
14.
Nguyen
,
V.-T.
, and
Kim
,
D.-J.
,
2007
, “
Flexible Cam Profile Synthesis Method Using Smoothing Spline Curves
,”
Mech. Mach. Theory
,
42
(
7
), pp.
825
838
.
15.
Srinivasan
,
L.-N.
, and
Jeffrey Ge
,
Q.
,
1998
, “
Designing Dynamically Compensated and Robust Cam Profiles With Bernstein-Bezier Harmonic Curves
,”
ASME J. Mech. Des.
,
120
(
1
), pp.
40
45
.
16.
Folega
,
P.
,
Burdzik
,
R.
,
Konieczny
,
L.
,
Stanik
,
Z.
,
Warczek
,
J.
, and
Lazarz
,
B.
,
2012
, “
Impact of the Cam and Follower Cooperation and of Lubrication on the Cam Wear
,”
Arch. Mater. Sci. Eng.
,
58
(
2
), pp.
158
163
.
17.
Freudenstein
,
F.
,
Mayourian
,
M.
, and
Maki
,
E.-R.
,
1983
, “
Energy Efficient Cam-Follower Systems
,”
J. Mech. Trans. Autom. Des.
,
105
(
4
), pp.
681
685
.
18.
Fabien
,
B.-C.
,
Longman
,
R.-W.
, and
Freudenstein
,
F.
,
1994
, “
The Design of High-Speed Dwell-Rise-Dwell Cams Using Linear Quadratic Optimal Control Theory
,”
ASME J. Mech. Des.
,
116
(
3
), pp.
867
874
.
19.
Lei
,
H.
, and
Lu
,
Y.
,
2011
, “
Optimization of Transition Curve of Casing Cavity of Profiled Chamber
,”
Mech. Mach. Theory
,
46
(
11
), pp.
1773
1783
.
20.
Giuffrida
,
A.
, and
Lanzafame
,
R.
,
2005
, “
Cam Shape and Theoretical Flow Rate in Balanced Vane Pumps
,”
Mech. Mach. Theory
,
40
(
3
), pp.
353
369
.
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