scholarly journals On Calculation Methods and Results for Straight Cylindrical Roller Bearing Deflection, Stiffness, and Stress

Author(s):  
Timothy L. Krantz

The purpose of this study was to assess some calculation methods for quantifying the relationships of bearing geometry, material properties, load, deflection, stiffness, and stress. The scope of the work was limited to two-dimensional modeling of straight cylindrical roller bearings. Preparations for studies of dynamic response of bearings with damaged surfaces motivated this work. Studies were selected to exercise and build confidence in the numerical tools. Three calculation methods were used in this work. Two of the methods were numerical solutions of the Hertz contact approach. The third method used was a combined finite element surface integral method. Example calculations were done for a single roller loaded between an inner and outer raceway for code verification. Next, a bearing with 13 rollers and all-steel construction was used as an example to do additional code verification, including an assessment of the leading order of accuracy of the finite element and surface integral method. Results from that study show that the method is at least first-order accurate. Those results also show that the contact grid refinement has a more significant influence on precision as compared to the finite element grid refinement. To explore the influence of material properties, the 13-roller bearing was modeled as made from Nitinol 60, a material with very different properties from steel and showing some potential for bearing applications. The codes were exercised to compare contact areas and stress levels for steel and Nitinol 60 bearings operating at equivalent power density. As a step toward modeling the dynamic response of bearings having surface damage, static analyses were completed to simulate a bearing with a spall or similar damage.

2011 ◽  
Vol 143-144 ◽  
pp. 437-442
Author(s):  
Bao Hong Tong ◽  
Yin Liu ◽  
Xiao Qian Sun ◽  
Xin Ming Cheng

A dynamic finite element analysis model for cylindrical roller bearing is developed, and the complex stress distribution and dynamic contacting nature of the bearing are investigated carefully based on ANSYS/LS-DYNA. Numerical simulation results show that the stress would be bigger when the element contacting with the inner or outer ring than at other times, and the biggest stress would appear near the area that roller contacting with the inner ring. Phenomenon of stress concentration on the roller is found to be very obvious during the operating process of the bearing system. The stress distributions of different elements are uneven on the same side surface of roller in its axis direction. Numerical simulation results can give useful references for the design and analysis of rolling bearing.


2021 ◽  
Vol 68 (5) ◽  
pp. 14-23
Author(s):  
Andreas Winkler ◽  
Marcel Bartz ◽  
Sandro Wartzack

This contribution presents an approach for the numerical wear calculation of rolling/sliding-contacts. The finite element method based simulation model of Winkler [1] is extended to include contacts subject to boundary lubrication in addition to contacts subject to mixed lubrication. Using the example of an axial cylindrical roller bearing and two load cases, wear-modeling results of the mixed and boundary lubrication regime are illustrated.


Author(s):  
Xu Hao ◽  
Xinxin Gu ◽  
Xianwen Zhou ◽  
Xin Liao ◽  
Qingkai Han

In this paper, the developed finite element model of the shaft-cylindrical roller bearing–bearing housing system is established considering the temperature effect and clearance change. The displacement, raceway stress, and bearing stiffness characteristics of the inner and outer rings of the bearing are systematically investigated. The proposed finite element model is validated through adjusting mesh size of the bearing and the comparison of the elastic deformation of the bearing with the experiment. The influence of load, clearance, and temperature expansion on the displacement distribution of the inner and outer rings of the bearing, raceway stress, and stiffness characteristics are all discussed. The obtained results indicate that an appropriate selection of thermal expansion stress can obtain desirable working ambient temperature of the bearing under different clearances, which can serve as an efficient tool in the design of bearing parameters.


Author(s):  
Dalong Li ◽  
Mariusz Ziejewski ◽  
Ghodrat Karami

Crash analysis and head injury biomechanics are very important fields in biomedical research due to the devastating consequences of traumatic brain injuries (TBI). Complex geometry and constitutive models of multiple materials can be combined with the loading conditions in finite element head model to study the dynamic behavior of brain and the TBI. In such a modeling, the proper regional material properties of brain tissues are important. Brain tissues material properties have not been finally determined by experiments, and large variations in the test data still exist and the data is very much situation-dependent. Therefore, parametric analysis should be performed to study the relationship between the material properties and the brain response. The main purpose of presenting this paper is to identify the influence of material constitutive properties on brain impact response, to search for an improved material model and to arrive at a better correlation between the finite element model and the cadaver tests data. In this paper a 3-D nonlinear finite element method will be used to study the dynamic response of the human head under dynamic loading. The finite element formulation includes detailed model of the skull, brain, cerebral-spinal fluid (CSF), dura mater, pia mater, falx and tentorium membranes. The brain is modeled as linear viscoelastic material, whereas linear elastic material behavior is assumed for all the other tissue components. The proper contact and compatibility conditions between different components have been implemented in the modeling procedure. The results for the direct frontal impacts will be shown for three groups of material parameters. The parametrical analysis of tissue material models allows to examines the accuracy of three different set of material parameters for brain in a comparison with the prediction of the head dynamic response of Nahum's human cadaver direct impact experiment. Three sets of suggested material parameters are examined. It is concluded that although all three groups of material models will follow the dynamic behavior of the head and brain behavior, but the parametric data considered in this paper have a closer resemblance to the experimental behavior.


2017 ◽  
Vol 139 (6) ◽  
Author(s):  
Wenhu Zhang ◽  
Sier Deng ◽  
Guoding Chen ◽  
Yongcun Cui

In this paper, the formulas of elastohydrodynamic traction coefficients of four Chinese aviation lubricating oils, namely, 4109, 4106, 4050, and 4010, were obtained by a great number of elastohydrodynamic traction tests. The nonlinear dynamics differential equations of high-speed cylindrical roller bearing were built on the basis of dynamic theory of rolling bearings and solved by Hilber–Hughes–Taylor (HHT) integer algorithm with variable step. The influence of lubricant traction coefficient on cage's nonlinear dynamic behavior was investigated, and Poincaré map was used to analyze the influence of four types of aviation lubricating oils on the nonlinear dynamic response of cage's mass center. The period of nonlinear dynamic response of cage's mass center was used to assess cage's stability. The results of this paper provide the theoretical basis for selection of aviation lubricating oil.


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