Stiffness of a ball screw with consideration of deformation of the screw, net and screw thread. Preloaded double nut.

Takafuji, Kazuki; Nakashima, Katuhiro

doi:10.1299/jsmec1988.33.620

Cited by 8 publications

(6 citation statements)

References 1 publication

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“…So stiffness based on uniform load will be higher than the stiffness based on the load distribution calculated in this paper. This result may explain why the calculated values of stiffness are higher than experimental values [10].…”

Section: Applied Mechanics and Materials Vols 397-400mentioning

confidence: 70%

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Load Distribution of Ball Screw with Contact Angle Variation

Sun

Shen

2013

AMM

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Based on existing analytical models, an improved model was developed to predict load distribution of ball screw more accurately. In this model, variation of contact angle is considered. The results of this model demonstrate that the load distribution of ball screw is not uniform and load distribution curve falls from the position near the load to further. Downward trend is more marked when the variation of contact angle is introduced into the model. The larger ratio of helical pitch to screw diameter is, the worse the nonuniformity of load distribution is. This will impair the stiffness of ball screw. It is found that the calculated results are significant to ball screw design.

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Section: Applied Mechanics and Materials Vols 397-400mentioning

confidence: 70%

“…In order to describe the nonuniformity of the load distribution, a parameter Var is employed. From equation (10), it can be known that the value of Var is zero when all the loads are equal. And the trend is shown in Fig.…”

Section: Applied Mechanics and Materials Vols 397-400mentioning

confidence: 99%

Load Distribution of Ball Screw with Contact Angle Variation

Sun

Shen

2013

AMM

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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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“…9 Considering the preload and axial load, Wei and Lin 10 built a static axial rigidity model of single-nut ball screws. Considering the elastic deflection between screw shaft and ball nut body and the contact deflection between ball and groove, Takafuji and Nakashima 11 developed a static rigidity model of double-nut ball School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, China screws. According to the variation of preload and working conditions, Chung and Park 12 studied the axial deformation of nut caused by contact deflection and then proposed a method to estimate the position accuracy.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the fluctuation of the static axial rigidity for double-nut preloaded ball screws

Wang

Zhou

2019

Advances in Mechanical Engineering

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This article aims to investigate the fluctuation of the static rigidity for preloaded ball screws. Based on the correlation between preload and friction torque, a new model to calculate the contact rigidity by friction torque is proposed. Meanwhile, a novel test bench is constructed to measure the static stiffness at different positions. The experimental results agree well with the theoretical values, which proves the validity of the model. Furthermore, it is found that the screw shaft rigidity has the greatest influence on the system stiffness fluctuation, compared to the bearing rigidity, and the torsional rigidity. For the feed system, increasing the bearing rigidity, which is the lowest stiffness of the whole system, is an effective method to increase the system stiffness. The study provides an accurate method to obtain the stiffness fluctuation in the effective travel of ball screws, which is significant for improving the positioning accuracy of ball screws and computer numerical control machine tools.

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Stiffness of a ball screw with consideration of deformation of the screw, net and screw thread. Preloaded double nut.

Cited by 8 publications

References 1 publication

Load Distribution of Ball Screw with Contact Angle Variation

Load Distribution of Ball Screw with Contact Angle Variation

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

Investigation of the fluctuation of the static axial rigidity for double-nut preloaded ball screws

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