Static load distribution and axial static contact stiffness of a preloaded double-nut ball screw considering geometric errors

Liu, Jun; Feng, Huanqing; Zhou, Chang-Guang

doi:10.1016/j.mechmachtheory.2021.104460

Cited by 24 publications

(6 citation statements)

References 18 publications

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“… V n normal′ i denotes the relative slipping velocity of the i -th ball to the raceway. 27 N c denotes the total running revolutions of the ball screw. H denotes the hardness of the material.…”

Section: Theoretical Analysismentioning

confidence: 99%

An analysis method for the transmission efficiency of the preloaded ball screw based on wear volume calculation

Zhang

Zhou

Ren

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part J:

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The transmission efficiency is an aggregative indicator that directly reflects the overall performance of the ball screw. While most researches focus on calculating transmission efficiency under different working conditions, few of them investigate the influencing factors that lead to the transmission efficiency change. To this end, this paper proposed a new analysis method to acquire the changing transmission efficiency with running revolution based on wear volume calculation considering lubrication. The fractal theory is introduced to describe the surface roughness, through which the modified expression of the wear volume between the balls and raceway is proposed. By submitting the wear volume into the transmission efficiency analysis model, the change of the transmission efficiency is obtained. From the experimental results, two obvious stages are shown: the rising stage with the increase of the wear volume and a steady stage as the initial preload vanishes. For higher transmission efficiency for the preloaded ball screw of the same type, the ratio of 0.75, which compares the initial preload to the external load, has some certain reference for the practical application.

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Section: Theoretical Analysismentioning

confidence: 99%

An analysis method for the transmission efficiency of the preloaded ball screw based on wear volume calculation

Zhang

Zhou

Ren

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part J:

Self Cite

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“…The main wear area between the ball and the raceway is a rectangle 2b s wide. Combining equations ( 1), (7), and ( 9), the wear depth between the ball and the raceway can be expressed as follows h sbs ðtÞ ¼ 2C b�s ðtÞV b�s ðtÞb s A s L b�s A rs (11) where L b�s ¼ L s =sin α, and L s is the effective stroke of the lead screw.…”

Section: Accuracy Decay Modelingmentioning

confidence: 99%

“…Zhao et al 10 studied the distribution law of CL between the ball and the raceway, considering turning torque and geometric errors, according to the research of Zhen 6 and Lin. 7 Furthermore, Zhou et al 11 studied the stiffness decay characteristics of the double-nut BS, considering the geometric error of the ball diameter. In addition, through the topology dressing error analysis of a screw grinder mapping, the error model of BS profile parameters has been established by Ou, 12 based on the forming principle.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis and experimental research on the accuracy decay of a ball screw with geometric errors under non-constant operating conditions

Cheng

Liu

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The ball screw (BS) has become an indispensable key functional component in many fields, such as precision manufacturing equipment and intelligent manufacturing production lines. Inevitable geometric errors and non-constant operating conditions affect the accuracy decay of the BS component. In this paper, a numerical analysis method of this accuracy decay with geometric parameters errors, under non-constant operating conditions, is established. The accuracy degradation of the BS, under a single non-constant operation condition or multiple non-constant operating conditions, is analyzed, using a proposed numerical analysis method. The average value of the relative error between numerical analysis and theoretical model results was 5.52%, 5.66%, and 5.40%, under the three operating conditions of non-constant rotation rate (RR), non-constant contact load (CL), and non-constant rotation rate and contact load (RR + CL), respectively. And the maximum relative error value was 11.11%, 11.11%, and 10.98%. In addition, the numerical analysis method of BS accuracy degradation was compared to experimental tests. The average value of the relative error between numerical analysis outcome and experimental tests was 7.07%, 6.08%, 6.56%, and the maximum relative error value was 11.11%, 14.29%, and 13.04% under the three operating conditions of RR, CL, and RR + CL, respectively.

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“…Furthermore, the HB showcases practical automatic micromanipulation through visual servo control and machine learning, presenting potential applications in biomedical and microassembly fields. performances of conventional XYθ-axis precision stages using ball screws with a maximum speed of around 10 mm s À1 with a repeatability of 0.5 μm, [43][44][45] and precise piezoelectric stages with a resolution of 1 nm within the range of around 0.2 mm. [46][47][48][49][50] Among these, some nonholonomic mobile robots incorporating piezoelectric elements [51][52][53][54] exhibit remarkable performance, including high speed and excellent mobility across challenging terrain.…”

Section: Introductionmentioning

confidence: 99%

Automatic Holonomic Mobile Micromanipulator for Submillimeter Objects Inspired by the Rhinoceros Beetle

Suzuki,

Iida,

Tsukui

et al. 2024

Advanced Intelligent Systems

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Holonomic mobile micromanipulators driven by piezoelectric actuators offer precision and compact design. However, attaining both high speed and positioning repeatability with sufficient load capacity poses challenges, given that lightweight robots are susceptible to nonuniform driving surfaces and external forces. A holonomic beetle (HB) is proposed to realize a wide range, compact size, precise holonomic motion, automatic micromanipulation, and high‐speed movement simultaneously. Inspired by the biological makeup of a Rhinoceros Beetle, a length, weight, and load capacity of 8 cm, 74 g, and of 2000 g, respectively, are used. The HB is a two‐legged robot with a pseudoalternating tripod gait locomotion principle, with five piezoelectric actuators for XYθ displacement and switching of the contact leg. It achieves maximum walking velocities of 11.6 mm s−1 for translational motion and 19.3 deg s−1 for rotation, with a displacement resolution of 12 nm. Notably, under open‐loop control, the HB demonstrates high repeatability with a coefficient of variation of 0.3%. It exhibits the capability to climb 30°‐inclined surfaces, traverse flat surfaces with 0.1 mm bumps, and navigate 30 mm pits. Furthermore, the HB showcases practical automatic micromanipulation through visual servo control and machine learning, presenting potential applications in biomedical and microassembly fields.

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Static load distribution and axial static contact stiffness of a preloaded double-nut ball screw considering geometric errors

Cited by 24 publications

References 18 publications

An analysis method for the transmission efficiency of the preloaded ball screw based on wear volume calculation

An analysis method for the transmission efficiency of the preloaded ball screw based on wear volume calculation

Numerical analysis and experimental research on the accuracy decay of a ball screw with geometric errors under non-constant operating conditions

Automatic Holonomic Mobile Micromanipulator for Submillimeter Objects Inspired by the Rhinoceros Beetle

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