Analysis and numerical simulation of rolling contact between sphere and cone

Zhao, Yanling; Xia, Chengtao; Wang, Hongbo; Xuan, Jiaping; Xiang, Jianhua; Liu, Xianli; Su, Xiangguo

doi:10.3901/cjme.2015.0302.022

Cited by 4 publications

(3 citation statements)

References 21 publications

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“…The contact between the bearing components is usually point or line contact, so the stiffness value can be calculated according to the Hertzian contact theory [27]. The contact stiffness is calculated as shown in the following equation:…”

Section: Angular Contact Ball Bearing Rigid-flexible Coupling Motion ...mentioning

confidence: 99%

Research on H7006C Angular Contact Ball Bearing Slipping Behavior under Operating Conditions

Song

et al. 2023

Lubricants

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During operation, angular contact ball bearings exhibit slipping behavior, which accelerates bearing wear and reduces the bearing’s overall service life. This paper focuses on studying the degree of slippage and the variation in slippage rate in the H7006C angular contact ball bearing under constant inner ring speed and angular acceleration conditions. To achieve this objective, the study defines the contact between rolling elements, inner and outer rings, and the cage as flexible. A rigid–flexible coupling slippage dynamic simulation model is then developed, which utilizes cage slippage rate as the evaluation index. The analysis method of cage slippage rate change is established through the Gaussian function fitting method. By comparing simulation and testing results, the effectiveness of the analysis method of angular contact ball bearing slip behavior is validated. On this basis, the influence law of bearing speed and acceleration conditions on the slipping behavior of angular contact ball bearings is further studied. The results of the study show that as the axial load increases at different inner ring speeds, the cage speed increases until it reaches a stable state, while the cage slip rate continuously decreases until reaching a stable state. The higher the inner ring speed, the greater the axial load required for the bearing to enter the steady state. Under different angular accelerations, the cage speed increases with time; when the cage speed increases to stable and constant, the cage slip rate decreases to a stable state, and the higher the angular acceleration, the longer it takes for the bearing to enter the stable state.

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Section: Angular Contact Ball Bearing Rigid-flexible Coupling Motion ...mentioning

confidence: 99%

Research on H7006C Angular Contact Ball Bearing Slipping Behavior under Operating Conditions

Song

et al. 2023

Lubricants

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“…The flattening between work roll and strip and the flattening between rolls are important components of the important influence on controlling of the strip crown and flatness [1][2][3][4][5][6][7][8][9][10]. For the flattening between work roll and strip, because of the strip width is shorter than the work roll length more the 200 mm and the contact arc length is far less than roll diameter, the work roll can be seen as semi-infinite body and it's reasonable to use the elastic half space theory [11,12] for roll flattening.…”

Section: Introductionmentioning

confidence: 99%

Modification of Roll Flattening Analytical Model Based on the Plane Assumption

Wang

Huang

Xiao

et al. 2018

Chin. J. Mech. Eng.

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Roll flattening is an important component in the roll stack elastic deformation, which has important influence on controlling of the strip crown and flatness. Foppl formula and semi-infinite body model are the most popular analytical models in the roll flattening calculation. However, the roll flattening calculated by traditional flattening models has a great deviation from actual situation, especially near the barrel edges. Therefore, in order to improve the accuracy of roll flattening, a new model is proposed based on the elastic half plane theory. The calculation formulas of roll flattening are deduced respectively under the assumptions of plane strain and plane stress. Then, the two assumptions are combined through the method of introducing an transition coefficient, and the distribution rules of roll flattening for different rolling force, flattening width, roll length and roll diameter are analyzed by using the FEM analysis software Marc. Regarding the ratio of the length to roll end and the roll diameter as variable to fit the transition coefficient, the new model of roll flattening is established based on the elastic half plane theory. Finally, the transition coefficient is fitted to establish the model. Compared with the traditional models, the new model can effectively improve the calculation deviation in the roll end, which has important significance for accurate simulation of plate shape, especially for the distribution of rolling force between rolls.

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“…Face contact is an important physical reality in a number of research fields [1][2][3]. In the field of face seals, for contacting face seals, face contact is inevitable during the opened operation.…”

Section: Introductionmentioning

confidence: 99%

Application of Fractal Contact Model in Dynamic Performance Analysis of Gas Face Seals

Huang

Liu

et al. 2018

Chin. J. Mech. Eng.

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Fractal theory provides scale-independent asperity contact loads and assumes variable curvature radii in the contact analyses of rough surfaces, the current research for which mainly focuses on the mechanism study. The present study introduces the fractal theory into the dynamic research of gas face seals under face-contacting conditions. Structure-Function method is adopted to handle the surface profiles of typical carbon-graphite rings, proving the fractal contact model can be used in the field of gas face seals. Using a numerical model established for the dynamic analyses of a spiral groove gas face seal with a flexibly mounted stator, a comparison of dynamic performance between the Majumdar-Bhushan (MB) fractal model and the Chang-Etsion-Bogy (CEB) statistical model is performed. The result shows that the two approaches induce differences in terms of the occurrence and the level of face contact. Although the approach distinctions in film thickness and leakage rate can be tiny, the distinctions in contact mechanism and end face damage are obvious. An investigation of fractal parameters D and G shows that a proper D (nearly 1.5) and a small G are helpful in raising the proportion of elastic deformation to weaken the adhesive wear in the sealing dynamic performance. The proposed research provides a fractal approach to design gas face seals.

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Analysis and numerical simulation of rolling contact between sphere and cone

Cited by 4 publications

References 21 publications

Research on H7006C Angular Contact Ball Bearing Slipping Behavior under Operating Conditions

Research on H7006C Angular Contact Ball Bearing Slipping Behavior under Operating Conditions

Modification of Roll Flattening Analytical Model Based on the Plane Assumption

Application of Fractal Contact Model in Dynamic Performance Analysis of Gas Face Seals

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