Hydrostatic lead screws possess superior motion characteristics and often run under high speeds and variable loads. This paper presents research on the transient motion of capillary compensated hydrostatic lead screws with continuous helical recesses under high speeds and variable loads. The model is based on the Reynolds equation, the equation of motion and the Euler equation, and takes pitch errors into account. The simulation results show that: (a) the displacement curves of the nut thread calculated under lower static loads can be obtained approximately by translating the displacement curve calculated under no load, (b) under high speeds and higher static loads, the displacement curves of the nut thread present differences, (c) under step loads, the hydrostatic nut has a smooth transient process, and (d) under sinusoidal loads, the amplitude of transient response path is smaller than the displacement of the nut thread under a static load with the same magnitude, and decreases with increase in the frequency of the sinusoidal load.

References

References
1.
El-Sayed
,
H. R.
, and
Khatan
,
H.
,
1974
, “
The Exact Performance of Externally Pressurized Power Screws
,”
Wear
,
30
(
2
), pp.
237
247
.
2.
Kami
,
Y.
,
Yabuya
,
M.
, and
Shimizu
,
T.
,
1995
, “
Research and Development of an Ultraprecision Positioning System
,”
Nanotechnology
,
6
(
4
), pp.
127
134
.
3.
Zhang
,
Y. T.
,
Lu
,
C. H.
,
Pan
,
W.
,
Chen
,
S. J.
, and
Liu
,
Z. C.
,
2016
, “
Averaging Effect on Pitch Errors in Hydrostatic Lead Screws With Continuous Helical Recesses
,”
ASME J. Tribol.
,
138
(
2
), p.
021103
.
4.
Shamoto
,
E.
,
Park
,
C. H.
, and
Moriwaki
,
T.
,
2001
, “
Analysis and Improvement of Motion Accuracy of Hydrostatic Feed Table
,”
CIRP Ann.-Manuf. Technol.
,
50
(
1
), pp.
285
290
.
5.
Ekinci
,
T. O.
, and
Mayer
,
J. R. R.
,
2007
, “
Relationships Between Straightness and Angular Kinematic Errors in Machines
,”
Int. J. Mach. Tools Manuf.
,
47
(
12
), pp.
1997
2004
.
6.
Ekinci
,
T. O.
,
Mayer
,
J. R. R.
, and
Cloutier
,
G. M.
,
2009
, “
Investigation of Accuracy of Aerostatic Guideways
,”
Int. J. Mach. Tools Manuf.
,
49
(
6
), pp.
478
487
.
7.
Xue
,
F.
,
Zhao
,
W. H.
,
Chen
,
Y. L.
, and
Wang
,
Z. W.
,
2012
, “
Research on Error Averaging Effect of Hydrostatic Guideways
,”
Precis. Eng.
,
36
(
1
), pp.
84
90
.
8.
Wang
,
Z. W.
,
Zhao
,
W. H.
,
Chen
,
Y. L.
, and
Lu
,
B. H.
,
2013
, “
Prediction of the Effect of Speed on Motion Errors in Hydrostatic Guideways
,”
Int. J. Mach. Tools Manuf.
,
64
, pp.
78
84
.
9.
Castelli
,
V.
, and
Elrod
,
H. G.
,
1965
, “
Solution of the Stability Problem for 360 deg Self-Acting, Gas-Lubricated Bearings
,”
ASME J. Fluids Eng.
,
87
(
1
), pp.
199
210
.
10.
Castelli
,
V.
, and
McCabe
,
J. T.
,
1967
, “
Transient Dynamics of a Tilting Pad Gas Bearing System
,”
ASME J. Tribol.
,
89
(
4
), pp.
499
507
.
11.
Kirk
,
R. G.
, and
Gunter
,
E. J.
,
1976
, “
Short Bearing Analysis Applied to Rotor Dynamics—Part 2: Results of Journal Bearing Response
,”
ASME J. Tribol.
,
98
(
2
), pp.
319
329
.
12.
Kirk
,
R. G.
, and
Gunter
,
E. J.
,
1976
, “
Stability and Transient Motion of a Plain Journal Mounted in Flexible Damped Supports
,”
ASME J. Manuf. Sci. Eng.
,
98
(
2
), pp.
576
592
.
13.
Choy
,
F. K.
,
Braun
,
M. J.
, and
Hu
,
Y.
,
1992
, “
Nonlinear Transient and Frequency Response Analysis of a Hydrodynamic Journal Bearing
,”
ASME J. Tribol.
,
114
(
3
), pp.
448
454
.
14.
Gadangi
,
R. K.
, and
Palazzolo
,
A. B.
,
1995
, “
Transient Analysis of Tilt Pad Journal Bearings Including Effects of Pad Flexibility and Fluid Film Temperature
,”
ASME J. Tribol.
,
117
(
2
), pp.
302
307
.
15.
San Andres
,
L.
,
1997
, “
Transient Response of Externally Pressurized Fluid Film Bearings
,”
Tribol. Trans.
,
40
(
1
), pp.
147
155
.
16.
Sinhasan
,
R.
, and
Goyal
,
K. C.
,
1995
, “
Transient Response of a Two-Lobe Journal Bearing Lubricated With Non-Newtonian Lubricant
,”
Tribol. Int.
,
28
(
4
), pp.
233
239
.
17.
Kushare
,
P. B.
, and
Sharma
,
S. C.
,
2014
, “
Nonlinear Transient Stability Study of Two Lobe Symmetric Hole Entry Worn Hybrid Journal Bearing Operating With Non-Newtonian Lubricant
,”
Tribol. Int.
,
69
, pp.
84
101
.
18.
Fukada
,
S.
,
1999
, “
Friction of Sliding Leadscrews Under Hydrodynamic Lubrication. 1st Report, Establishment of Clearance Shape Model and Its Analysis Based on Infinitely Short Bearing Theory
,”
JSME Int. J., Ser. C
,
42
(
4
), pp.
1003
1011
.
19.
Bassani
,
R.
, and
Piccigallo
,
B.
,
1992
,
Hydrostatic Lubrication
,
Elsevier
, Amsterdam,
The Netherlands
.
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