Stiffness matrix formulation for double row angular contact ball bearings: Analytical development and validation

Gunduz, Aydin; Singh, Rajendra

doi:10.1016/j.jsv.2013.04.049

Cited by 66 publications

(32 citation statements)

References 26 publications

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“…Cao et al [14] compared the influences of the speed on the bearing stiffness under different preload mechanisms. Several researchers put forward different stiffness matrixes of angular contact ball bearings, respectively, [15,16]. Noel et al [17] presented a new method to calculate the stiffness matrix based on the dynamic model of angular contact ball bearings.…”

Section: Introductionmentioning

confidence: 99%

An Integrated Model to Characterize Comprehensive Stiffness of Angular Contact Ball Bearings

Lei

Li²,

Gong

et al. 2020

Mathematical Problems in Engineering

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The bearing dynamic behaviors will be complicated due to the changes in the geometric sizes and relative positions of the bearing components at high speed. In this paper, based on the Hertz contact theory, elastohydrodynamic lubrication (EHL) model, and Jones’ bearing theory, the comprehensive stiffness model of the angular contact ball bearing is proposed in consideration of the effects of elastic deformation, centrifugal deformation, thermal deformation, and the ball spinning motion. The influences of these factors on bearing dynamic stiffness are investigated in detail. The calculation results show that the centrifugal deformation and thermal deformation increase with the increase in rotation speed. When the centrifugal deformation and thermal deformation are considered, the bearing radial contact stiffness increases as the speed increases, whereas the axial contact stiffness and the angular contact stiffness decrease. When the deformations and the EHL are all considered, the comprehensive bearing stiffness decreases with the increasing speed. It is also found that the spinning motion of the ball causes the comprehensive bearing stiffness to increase.

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Section: Introductionmentioning

confidence: 99%

An Integrated Model to Characterize Comprehensive Stiffness of Angular Contact Ball Bearings

Lei

Li²,

Gong

et al. 2020

Mathematical Problems in Engineering

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show abstract

“…Though DRTRBs are widely used in industrial, the study on stiffness derivation of DRTRBs is sparse. For instance, Gunduz et al [23] computed stiffness matrix for doublerow angular contact ball bearings. However, inertial loading due to the rotational speed effect was not considered in their bearing model.…”

Section: Introductionmentioning

confidence: 99%

A Method to Solve the Stiffness of Double‐Row Tapered Roller Bearing

Zhang

Shi

Liu

et al. 2019

Mathematical Problems in Engineering

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By analyzing the roller force, the nonlinear stiffness model of the double-row tapered roller hub bearing is derived, and the method of solving the hub bearing stiffness matrix is summarized: if the displacement between the inner and outer rings is known, the stiffness of the hub bearing can be directly calculated. If only the external load of the hub bearing is known, the displacement of the hub bearing needs to be solved by numerical method, and then the stiffness of the hub bearing can be calculated. The improved Newton-Raphson method is used to solve the stiffness matrix of the hub bearing. Three-dimensional FE model of DRTRBs is presented and validated the proposed the stiffness matrix of the hub bearing. It is found that the radial stiffness of the hub bearing is greater than the axial stiffness. The stiffness of the hub bearing is greatly affected by the vertical force of the ground and the wheel driving torque, showing obvious nonlinearity. The smaller the vertical ground load and wheel driving torque, the greater the influence of vertical ground load and wheel driving torque on the hub bearing stiffness.

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“…1. The schematic diagram of the structure of external three-row-roller slewing bearings Currently, most literatures are mainly based on Hertz contact theory to study the stiffness of roller bearings, angular contact ball bearings and single-row bearings [1][2][3][4][5][6]. In terms of three-row-roller slewing bearings, Peter [7][8] proposed that a new computational model for determination of internal contact forces distribution and consequently the determination of acceptable load curves for static load capacity in three-row-roller slewing bearings｡Peter [9] proposed that a calculation model for fatigue lifetime determination of a three-row-roller slewing bearing raceway.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis and Simulation Calculation of Three-row-roller Slewing Bearings Stiffness

Zhou¹,

Yu²

2017

Proceedings of the 2017 2nd International Conference on Machinery, Electronics and Control Simulation (MECS 2017)

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Abstract. Hertz contact theory and experimental methods are respectively adopted to analyze and study the relationship between the load and the axial stiffness, the radial stiffness and the overturning stiffness of the three-row-roller slewing bearings. The axial stiffness, the radial stiffness and the overturning stiffness of the three-row-roller slewing bearings are theoretically analyzed on the basis of Hertz contact theory. The finite element simulation calculation model of the bearing was established to verify the validity of the theoretical stiffness analysis. The theoretical analysis of the stiffness are approximately consistent with the results of the finite element simulation calculation. The oretical analysis and experimental result show: the axial stiffness, the radial stiffness and the overturning stiffness of the three-row-roller slewing bearings present nonlinear change rule ; Rigidity value are increased along with load increase and the tendency of the increase is gradually reduced.

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Stiffness matrix formulation for double row angular contact ball bearings: Analytical development and validation

Cited by 66 publications

References 26 publications

An Integrated Model to Characterize Comprehensive Stiffness of Angular Contact Ball Bearings

An Integrated Model to Characterize Comprehensive Stiffness of Angular Contact Ball Bearings

A Method to Solve the Stiffness of Double‐Row Tapered Roller Bearing

Theoretical Analysis and Simulation Calculation of Three-row-roller Slewing Bearings Stiffness

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