Contact Load Calculation Models for Finite Line Contact Rollers in Bearing Dynamic Simulation Under Dry and Lubricated Conditions

The key to exploring the behavior of bearings through dynamic methods lies in establishing an accurate model for calculating the contact load between the roller and the raceway. Based on the half-space theory of Boussinesq, this study developed a full-order model for calculating the contact load of...

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Main Authors: Yongxu Hu, Liu He, Yan Luo, Andy Chit Tan, Cai Yi
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Lubricants
Subjects:
Online Access:https://www.mdpi.com/2075-4442/13/4/183
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author Yongxu Hu
Liu He
Yan Luo
Andy Chit Tan
Cai Yi
author_facet Yongxu Hu
Liu He
Yan Luo
Andy Chit Tan
Cai Yi
author_sort Yongxu Hu
collection DOAJ
description The key to exploring the behavior of bearings through dynamic methods lies in establishing an accurate model for calculating the contact load between the roller and the raceway. Based on the half-space theory of Boussinesq, this study developed a full-order model for calculating the contact load of the finite line contact roller. The model adopted an iterative procedure to calculate the contact load of each roller slice according to deformations. According to the comparisons between the contact loads obtained by the proposed model and those obtained by FEA, the average error for a cylindrical roller was approximately 2%, while that for a tapered roller was approximately 17%. By neglecting the influences of inter-slice contact stresses on the deformation of local roller slice, a fast-calculating method for the full-order model was developed, thereby reducing the calculation time by approximately 77%. By integrating the fast method with the Dowson–Higginson’s formula, another model was developed to calculate the contact load under lubrication conditions. The proposed models were utilized to investigate the dynamic characteristics of a double-row tapered roller bearing, and the results were validated through experiments. The proposed method could be utilized to assess dynamic performances of bearings across different operating scenarios.
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issn 2075-4442
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publisher MDPI AG
record_format Article
series Lubricants
spelling doaj-art-cb343e7159f3455db8ce4920fecb81522025-08-20T02:18:03ZengMDPI AGLubricants2075-44422025-04-0113418310.3390/lubricants13040183Contact Load Calculation Models for Finite Line Contact Rollers in Bearing Dynamic Simulation Under Dry and Lubricated ConditionsYongxu Hu0Liu He1Yan Luo2Andy Chit Tan3Cai Yi4School of Mechanical Engineering, Chengdu University, Chengdu 610031, ChinaVehicle Measurement, Control and Safety Key Laboratory, School of Automobile and Transportation, Xihua University, Chengdu 610031, ChinaSchool of Mechanical Engineering, Chengdu University, Chengdu 610031, ChinaLKC Faculty of Engineering and Science, Universiti Tunku Abdul Rahman, Jalan Bandar Sungai Long, Cheras, Kajang 43000, MalaysiaState Key Laboratory of Rail Transit Vehicle System, Southwest Jiaotong University, Chengdu 610031, ChinaThe key to exploring the behavior of bearings through dynamic methods lies in establishing an accurate model for calculating the contact load between the roller and the raceway. Based on the half-space theory of Boussinesq, this study developed a full-order model for calculating the contact load of the finite line contact roller. The model adopted an iterative procedure to calculate the contact load of each roller slice according to deformations. According to the comparisons between the contact loads obtained by the proposed model and those obtained by FEA, the average error for a cylindrical roller was approximately 2%, while that for a tapered roller was approximately 17%. By neglecting the influences of inter-slice contact stresses on the deformation of local roller slice, a fast-calculating method for the full-order model was developed, thereby reducing the calculation time by approximately 77%. By integrating the fast method with the Dowson–Higginson’s formula, another model was developed to calculate the contact load under lubrication conditions. The proposed models were utilized to investigate the dynamic characteristics of a double-row tapered roller bearing, and the results were validated through experiments. The proposed method could be utilized to assess dynamic performances of bearings across different operating scenarios.https://www.mdpi.com/2075-4442/13/4/183finite line contact rollercontact load calculationhalf-space theory of Boussinesqfast methodelastohydrodynamic lubrication
spellingShingle Yongxu Hu
Liu He
Yan Luo
Andy Chit Tan
Cai Yi
Contact Load Calculation Models for Finite Line Contact Rollers in Bearing Dynamic Simulation Under Dry and Lubricated Conditions
Lubricants
finite line contact roller
contact load calculation
half-space theory of Boussinesq
fast method
elastohydrodynamic lubrication
title Contact Load Calculation Models for Finite Line Contact Rollers in Bearing Dynamic Simulation Under Dry and Lubricated Conditions
title_full Contact Load Calculation Models for Finite Line Contact Rollers in Bearing Dynamic Simulation Under Dry and Lubricated Conditions
title_fullStr Contact Load Calculation Models for Finite Line Contact Rollers in Bearing Dynamic Simulation Under Dry and Lubricated Conditions
title_full_unstemmed Contact Load Calculation Models for Finite Line Contact Rollers in Bearing Dynamic Simulation Under Dry and Lubricated Conditions
title_short Contact Load Calculation Models for Finite Line Contact Rollers in Bearing Dynamic Simulation Under Dry and Lubricated Conditions
title_sort contact load calculation models for finite line contact rollers in bearing dynamic simulation under dry and lubricated conditions
topic finite line contact roller
contact load calculation
half-space theory of Boussinesq
fast method
elastohydrodynamic lubrication
url https://www.mdpi.com/2075-4442/13/4/183
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AT yanluo contactloadcalculationmodelsforfinitelinecontactrollersinbearingdynamicsimulationunderdryandlubricatedconditions
AT andychittan contactloadcalculationmodelsforfinitelinecontactrollersinbearingdynamicsimulationunderdryandlubricatedconditions
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