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Research Papers: Hydrodynamic Lubrication

Transient Motion of Hydrostatic Lead Screws With Continuous Helical Recesses

[+] Author and Article Information
Yongtao Zhang, Wei Pan, Shujiang Chen, Yunpeng Liu

School of Mechanical Engineering;
Key Laboratory of High-Efficiency and Clean
Mechanical Manufacture (Shandong University),
Ministry of Education,
Jinan 250061, China

Changhou Lu

School of Mechanical Engineering;
Key Laboratory of High-Efficiency and Clean
Mechanical Manufacture (Shandong University),
Ministry of Education,
Jinan 250061, China
e-mail: luchh@sdu.edu.cn

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received October 13, 2015; final manuscript received March 15, 2016; published online July 22, 2016. Assoc. Editor: Sinan Muftu.

J. Tribol 139(1), 011703 (Jul 22, 2016) (9 pages) Paper No: TRIB-15-1375; doi: 10.1115/1.4033361 History: Received October 13, 2015; Revised March 15, 2016

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.

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Figures

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Fig. 1

Hydrostatic lead screw system and developed view of the thread ridge

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Fig. 2

Equivalent model of hydrostatic lead screws

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Fig. 3

Geometrical configuration on the top surface (or bottom surface) of the slide block

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Fig. 4

Comparison of motion error of the hydrostatic guideway

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Fig. 5

Comparison of transient orbits of a rotor under the speeds of (a) 4000 rev/min and (b) 6500 rev/min

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Fig. 6

Transient paths of the nut thread under the rotational speed of 2000 rev/min and different static loads

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Fig. 7

Pressure distribution on the bottom side of the nut thread under the static load of 7.5 kN and the rotation angle of 1080 deg

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Fig. 8

Clearance distribution and pressure distribution on the bottom side of the nut thread under the static load of 15 kN and the rotation angles of (a) 360 deg, (b) 1080 deg, and (c) 1800 deg

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Fig. 9

Transient paths of the nut thread under the rotational speed of 3000 rev/min and different static loads

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Fig. 10

Transient response paths of the nut thread under the rotational speed of 2000 rev/min and different step loads

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Fig. 11

Transient response paths of the nut thread under the rotational speed of 2000 rev/min and different sinusoidal loads

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Fig. 12

Transient response paths of the nut thread under the rotational speed of 2000 rev/min and different sinusoidal loads superimposed on a static load of 7.5 kN

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Fig. 13

Transient response paths of the nut thread under the rotational speed of 2000 rev/min and different sinusoidal loads superimposed on a static load of 15 kN

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Fig. 14

Transient response paths of the nut thread under the rotational speed of 2000 rev/min and different sinusoidal loads superimposed on a static load of 20 kN

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