Effects of rolling bearing configuration on stiffness of machine tool spindle

Yang, Zhaohui; Chen, Hui; Yu, Tianxiang

doi:10.1177/0954406217693659

Cited by 33 publications

(19 citation statements)

References 20 publications

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“…The bearing stiffness formulas can be derived from the partial derivatives of the bearing load with respect to bearing displacement based on Equation (21). The detailed calculation process is omitted here, and a similar work can be found in [22][23][24]. It can be seen that the errors between the calculation results and manufacturer data were very small and less than 3%, which indicated that the ball bearing model was very valid.…”

Section: Model Validitymentioning

confidence: 99%

Fatigue Life Analysis of Ball Bearings and a Shaft System Considering the Combined Bearing Preload and Angular Misalignment

Zhang

Wang

et al. 2020

Applied Sciences

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Bearing preload significantly affects the running performance of a shaft-bearing system including the fatigue life, wear, and stiffness. Due to the mounting error, the bearing rings are often angularly misaligned. The effects of the combined bearing preload and angular misalignment on the fatigue life of ball bearings and a shaft-bearing system are analyzed in this paper. The contact force distribution of angular contact ball bearings in the shaft-bearing system is investigated based on the system model. The system model includes the bearing model, and the shaft model is verified by comparing with the manufacturer’s manual and the results from other theoretical models, with the difference between the results from the present bearing model and manufacturer manual within 3%. The global optimization method is used to replace the Newton–Raphson algorithm to solve the ball elements’ displacements and friction coefficients, which improves the computation efficiency of the system model. The fatigue life of each bearing is evaluated with the consideration of the two preload methods and two angular misalignment cases. The fatigue life results show that the system life at the optimal angular misalignment is more than 1.5 times that without angular misalignment at the low preload value, and this ratio decreases as the preload value increases. The optimal angular misalignment of both the shaft-bearing system and the misaligned bearing is not always consistent, which depends on the preload value and bearing life. Both the constant-displacement preload and constant-force preload do not cause a significant difference in the highest system life. The different misaligned bearings can lead to different highest system lives as the preload value is low.

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Section: Model Validitymentioning

confidence: 99%

Fatigue Life Analysis of Ball Bearings and a Shaft System Considering the Combined Bearing Preload and Angular Misalignment

Zhang

Wang

et al. 2020

Applied Sciences

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“…Necessarily, the feasibility of the proposed model in this study should be validated. For this purpose, the angular contact ball bearing NSK7014A5 used by Yang et al 29 is chosen as the application case for the comparison. According to the proposed model of matched bearings described in An improved quasi-static model for matched bearings and Stiffness matrix of matched bearings sections, the stiffness of the bearings NSK7014A5 with different installation forms can be obtained numerically.…”

Section: Model Validationmentioning

confidence: 99%

“…Gunduz et al 4,28 studied the modal and stiffness characteristics of double-row contact ball bearings using a static model, where the effects of centrifugal force and gyroscopic moment of balls were ignored. Yang et al 29 investigated the stiffness characteristics of machine tool spindle with different bearing configurations by experiments. Tong and Hong 30 developed a four degree-of-freedom quasi-static model to analyze the effects of radial clearance and angular misalignment on the stiffness and fatigue life of double-row cylindrical roller bearings.…”

Section: Introductionmentioning

confidence: 99%

Research on modeling and mechanical behaviors of matched angular contact ball bearings

Zhang

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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In engineering applications, angular contact ball bearings are usually mounted in pairs to accommodate the high-speed and heavy-load conditions. The usability, security, and stability of rotating machinery systems are heavily dependent on the mechanical behaviors of matched angular contact ball bearings. However, few related works about matched bearings have been reported. Consequently, it is of great significance to investigate the mechanical properties of matched bearings. This paper presents an analysis of the stiffness and fatigue life characteristics of matched angular contact ball bearings under axial position preload. First, an improved quasi-static model is proposed by using universal coordinate transformation method to investigate the stiffness characteristics of matched bearings. On basis of this, the fatigue life of matched bearings under running condition can be calculated. Then, the validity of the proposed model is verified via comparison between calculated results with previously published experimental results. Finally, a pair of 7206B bearings is taken as a numerical example to illustrate the application of the proposed model. The effects of bearing configuration form, preload, external loads, rotating speed on the stiffness, and fatigue life of matched bearings are discussed in detail.

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“…The literature review shows that the tilting angles of the inner ring have been considered in the 5-DOF models for other double-row rolling bearings, 16–25 which provide a valuable reference for this investigation. There are two methods to introduce the tilting angles: the interpolation method; the vector and matrix method.…”

Section: Introductionmentioning

confidence: 99%

“…This method is relatively simple without considering the centrifugal forces and the gyroscopic moments of rollers. For the vector and matrix method, 20–25 the tilting angles are employed to formulate the displacements of the inner raceway groove curvature centers. The vector and matrix method is adopted in this paper as it is more accurate to describe the interactions between two rows.…”

Section: Introductionmentioning

confidence: 99%

Effect of angular misalignment on the stiffness of the double-row self-aligning ball bearing

Geng

Lin

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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The double-row self-aligning ball bearing commonly runs with angular misalignment between the inner and outer rings, and the angular misalignment significantly affects the bearing performance. However, the effect of angular misalignment on the dynamic characteristics of the double-row self-aligning ball bearing has not been studied thoroughly. This paper investigates the effect of angular misalignment on the stiffness of the double-row self-aligning ball bearing. The quasi-static model for the double-row self-aligning ball bearing is established with five degrees of freedom, namely, three translational displacements along x, y, and z directions and two tilting angles around x-axis and y-axis. The internal clearance between balls and raceways is included in the presented model. The formulation of the three-dimensional stiffness matrix for the double-row self-aligning ball bearing is analytically derived, and is verified by comparing with the available dada in published literature. Finally, the stiffness of the double-row self-aligning ball bearing under various angular misalignment conditions is analyzed systematically. The results show that the tilting angles vary the contact angles and contact forces of the compressed balls in the double-row self-aligning ball bearing, thus affect the bearing stiffness; the bearing stiffness decreases with the internal clearance; the angular misalignment significantly impacts the stiffness of the bearing running at a low speed.

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Effects of rolling bearing configuration on stiffness of machine tool spindle

Cited by 33 publications

References 20 publications

Fatigue Life Analysis of Ball Bearings and a Shaft System Considering the Combined Bearing Preload and Angular Misalignment

Fatigue Life Analysis of Ball Bearings and a Shaft System Considering the Combined Bearing Preload and Angular Misalignment

Research on modeling and mechanical behaviors of matched angular contact ball bearings

Effect of angular misalignment on the stiffness of the double-row self-aligning ball bearing

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