Improving the Assembly of Ballscrews Using Analysis of Interactions between the Working Parts

Iznairov, B. M.; Korolev, A. V.; Королев, А. В.

doi:10.1016/j.proeng.2016.07.028

Cited by 2 publications

(3 citation statements)

References 6 publications

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“…where k x,x , k y,y are the radial stiffness; k z,z is the axial stiffness; k ux,ux k uy,uy k uz,uz is the angular stiffness; k x,z k x,ux k x,uz k x,uy k z,ux k z,uz k ux,uz are the cross-coupling terms of axial and radial displacements. In this paper, the matrix K SN of equation (2.17) is simplified to make it easier to couple the stiffness matrix of the screw-nut interface unit with the overall stiffness matrix of the high-speed ball screw in the form of ignoring the angular displacement z in the axial direction of the high-speed ball screw, thus obtaining an 5*5 screw-nut interface unit stiffness matrix K SN , see equation (6). Since the cross-coupling term in the screw-nut interface unit stiffness matrix K SN has taken into account the effect of the deformation of the ball screw, when the center of gravity of the screw nut is at any unit position of the effective stroke of the ball screw, then the Timoshenko beam unit stiffness matrix at any unit position is considered to be the screwnut interface unit stiffness matrix K SN .…”

Section: Construction Of Screw Nut Interface Unit Stiffness Matrixmentioning

confidence: 99%

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A dynamic stiffness model for high-speed ball screw pair with the mass center of screw nut considered

Jin

Wang³

et al. 2023

Mechanics & Industry

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The development of accurate dynamic stiffness models is a key aspect in the design process of ball screws. However, variations in the nut center of mass position can affect the dynamic stiffness, which makes it difficult to develop a stiffness model. To address this issue, this paper considers the variation of the nut center of mass position and the approach between the ball screw beam unit stiffness matrix and the nut interface element stiffness matrix. Then, based on Timoshenko beam theory and a concentrated mass parameter method, a dynamic stiffness model for a high-speed ball screw pair considering the variation of the nut center of mass position is developed. Finally, the feasibility of the dynamic stiffness matrix of the high-speed ball screw pairs is verified through the inherent frequencies obtained from experiments and simulations of the ball screw pair in the free state and compared with the classical finite element method to verify the importance of this method and to provide a theoretical basis for its dynamic design and structural optimisation.

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Section: Construction Of Screw Nut Interface Unit Stiffness Matrixmentioning

confidence: 99%

“…Stiffness is the most important performance indicator of ball screws [6,7]. The stiffness of ball screw pairs has been studied by many scholars.…”

Section: Introductionmentioning

confidence: 99%

A dynamic stiffness model for high-speed ball screw pair with the mass center of screw nut considered

Jin

Wang³

et al. 2023

Mechanics & Industry

View full text Add to dashboard Cite

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“…The axial stiffness is the most important performance index of a ball screw. It significantly influences its positioning accuracy, dynamic performance, and transmission performance [3].…”

Section: Introductionmentioning

confidence: 99%

Theoretical Calculation and Simulation Analysis of Axial Static Stiffness of Double‐Nut Ball Screw with Heavy Load and High Precision

Luo

Jiao

et al. 2019

Mathematical Problems in Engineering

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Double-nut ball screws bear the action of bidirectional pretightening force, leading to the deformation of the contact area between the ball and the raceway. Under this condition, it is important to analyze and calculate the static stiffness of the ball screw. However, the conventional calculation method is inaccurate. Hence, a new method for the static stiffness analysis of a double-nut ball screw is proposed. Through the structural analysis of the ball screw and internal load distribution, a load deformation model was established based on the Hertzian contact theory. Through the load analysis of the ball screw, a static stiffness model of the ball screw was established and applied to a case study and a finite element simulation. The rigidity of THK double-nut ball screws used in the X-axis feed system of a high-stiffness heavy-duty friction stir welding robot (developed by the research group) was calculated. When the workload was lower than 1.1 × 104 N, the slope of the double-nut static stiffness curve increased significantly with the increase in the workload, and when the workload was greater than 1.1 × 104 N, its upward slope tended to stabilize. The simulated and experimental stiffness curves were in good agreement; when the external axial load was greater than 2.8 × 104 N, the stiffness value calculated using the finite element method gradually converged to the theoretical value; and when the axial load reached 3.0 × 104 N, the simulation and test curves matched well. The analysis method of the double-nut ball screw was found to be concise and accurate, and the stiffness curves calculated using the two methods were consistent. The simulation analysis of the static stiffness presented herein is expected to aid the design of double-nut ball screws of high-rigidity heavy-duty equipment.

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Improving the Assembly of Ballscrews Using Analysis of Interactions between the Working Parts

Cited by 2 publications

References 6 publications

A dynamic stiffness model for high-speed ball screw pair with the mass center of screw nut considered

A dynamic stiffness model for high-speed ball screw pair with the mass center of screw nut considered

Theoretical Calculation and Simulation Analysis of Axial Static Stiffness of Double‐Nut Ball Screw with Heavy Load and High Precision

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