Stiffness of a pre-loaded ball screw.

Nakashima, Katuhiro; Takafuji, Kazuki

doi:10.1299/kikaic.53.1898

Cited by 4 publications

(3 citation statements)

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“…Harris et al 1 studied the contact stiffness of bearings based on Hertz contact theory, and gave the relationship between load and deformation. Nakashima and Takafuji 2,3 studied the axial stiffness of a preloaded ball screw considering the deformation of lead screw and nut. Zhang 4 and Xu 5 designed the static test platform to obtain the axial stiffness of ball screw and compared the results with theoretical value.…”

Section: Introductionmentioning

confidence: 99%

Axial stiffness identification of a ball screw feed system using generalized frequency response functions

Zhou

Long

Meng

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Contact of balls in screw nuts and bearings causes the nonlinearity of a ball screw feed system. The identification of nonlinear stiffness helps to understand and control the feed system. The axial vibration of the ball screw feed system can be descripted by a single-degree-of-freedom (SDOF) system with polynomial nonlinear terms. Since generalized frequency response functions (GFRFs) can be expressed in terms of linear and nonlinear system parameters, one can estimate these parameters based on the measured GFRFs. In this effort, both single-tone and multitone harmonic inputs are employed to measure GFRFs, and a simple search algorithm is proposed to find the suitable frequency set of the multitone input. Parameter identification based on these two methods has been compared by numerical simulation and experiment. Since the response spectrum measured from vibration experiment of a ball screw system has even and odd harmonics, it is suitable to simplify the restoring force with square and cubic nonlinearity form. Static experiment is also conducted to verify the identified parameters, and the results show that the method based on single-tone inputs performs effectively in identifying axial stiffness of a ball screw feed system, but the method based on multitone inputs gets the incorrect results in practical application

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Section: Introductionmentioning

confidence: 99%

Axial stiffness identification of a ball screw feed system using generalized frequency response functions

Zhou

Long

Meng

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…To decrease the backlash and reach a high degree of positioning accuracy and stiffness, a preload is usually applied for machine tools (Bryan, 1990; Weule and Golz, 1991). However, excessive preload also increases the frictional force and contact load and generates thermal deformation and wear of the ball screw, causing low accuracy of position (Nakashima and Takafuji, 1987; Wei et al , 2009). Due to the interaction and complexity of both temperature and wear effects, it is difficult to confirm which one is the main cause of positioning accuracy loss.…”

Section: Introductionmentioning

confidence: 99%

Surface temperature and wear particle analysis of vertical motion double-nut ball screws

Horng

Chern

et al. 2017

ILT

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Purpose This paper aims to investigate the temperature and wear properties of vertical ball screws and to discuss the surface design of ball screws in industrial applications. Design/methodology/approach The energy equation of the screw surface considering the frictional heat was established to verify the surface temperature of the ball screw. X-ray diffraction was used to examine the micro-contact temperature between the ball and screw. Debris size and density were examined to investigate wear properties of ball screws and to study the relationship of wear debris and temperature. Findings First, the main energy source for the surface temperature of high speed vertical ball screws is derived from friction force between ball and screw. Second, the temperature rise between the ball and screw has great relevance with wear debris concentration. Third, the surface temperature of the screw is higher than between the nut and ball for high speed vertical ball screws due to high convection heat transfer. The contact temperature of the nut near the flange is smaller than that of the nut away from the flange end due to the high contact load and thermal conduction. Finally, correlation of particle size and surface roughness value for vertical ball screws was established, and its effects on contact temperature were studied. The theoretical analysis and experiments will help to characterize the design and manufacture of vertical ball screws. Originality/value The surface temperature and micro-contact temperature analytical model were established to study the ball screw design. Based on the surface-particle micro-contact temperature balance, the optimal range of surface roughness was designed for vertical ball screws, considering the wear debris and micro-contact temperature.

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“…Over preload can increase friction and wear of ball-screw contact area. Normally, the magnitude of applied preload is average dynamic load derive 2.83 times [4]. Belyaev and Kogan [5] presented a simple equation to obtain interrupt and contact angles of components in a ball-screw.…”

Section: Introductionmentioning

confidence: 99%

Thermal Analysis of a Ball-Screw System

Wei

Horng

Lin

2012

AMR

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High speed ball-screw system has serious friction heat to form thermal expansion to each component. An analyzing model considering with contact deformation and thermal expansion is established in realizing positioning error for a high speed ball-screw system. A finite element model of nut is also built in calculating elongation of nut. Surface strain of nut is measured by strain gages in order to confirm with data obtained from finite element model. Temperature of nut and screw were also measured by thermal couples and are used in calculation of elongation by the use of linear elongation equation. The tendency of positioning error is well estimated by the analyzing model. The model can be used in feedback positioning control factor and develop precision high speed ball-screw system.

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Stiffness of a pre-loaded ball screw.

Cited by 4 publications

References 0 publications

Axial stiffness identification of a ball screw feed system using generalized frequency response functions

Axial stiffness identification of a ball screw feed system using generalized frequency response functions

Surface temperature and wear particle analysis of vertical motion double-nut ball screws

Thermal Analysis of a Ball-Screw System

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