计及芯轴变形的轴连轴承载荷分布和刚度计算
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摘要
因轴连轴承高承载能力和长寿命的性能指标要求,提出三列滚动体混合式结构,通过两端圆柱滚子线接触形式提高轴承整体承载能力。为考核新型轴连轴承承载性能,基于柔性梁理论引入芯轴挠曲变形的影响,采用滚动轴承设计方法,建立新型轴连轴承力学分析模型,在此基础上研究了外载大小、外载位置和游隙因素对轴承载荷分布和刚度的影响。载荷分析表明:径向载荷增加,芯轴在各滚动体列产生的附加力矩增加,各滚动列最大接触载荷增大;载荷作用距离减小,芯轴在各滚动体列产生的附加力矩减小,各滚动体列的承载载荷明显下降;滚子列径向游隙的增加,各滚动体列的最大接触载荷增大,承载区域减小,载荷分布均匀性下降。刚度分析表明随着径向载荷增大,各滚动体列主刚度明显上升,而载荷作用距离减小和滚子列径向游隙增加,会造成各滚动体列主刚度一定程度下降。
Due to the high load-bearing and long-life performance requirements of the integral shaft bearings,a three-row rolling element hybrid structure was proposed to improve the overall carrying capacity by line contact at the both sides of bearing.In order to evaluate the bearing performance of the new bearing,a mechanical analysis model considering the influence of the shaft deflection of the bearing was established based on the rolling bearing design method and the flexible beam theory.Then,the influences of external force,external force position and clearance on the loading distribution and stiffness of bearing were studied in detail.The load analysis shows that with the radial force increase,the additional torque generated by the shaft and the maximum contact load of each rolling row increase;with the force acting distance decrease,the additional torque generated by the shaft and the bearing load of each rolling row significantly reduce;when the radial clearance of the roller row increases,the maximum contact load of each rolling row increases,the bearing area decreases,and the load distribution uniformity decreases.The stiffness analysis shows that with the radial force increase,the main stiffness of each rolling row increases significantly;however,the decrease of the load acting distance and the increase of the radial clearance of the roller row will cause the main stiffness to decline to a certain extent.
Due to the high load-bearing and long-life performance requirements of the integral shaft bearings,a three-row rolling element hybrid structure was proposed to improve the overall carrying capacity by line contact at the both sides of bearing.In order to evaluate the bearing performance of the new bearing,a mechanical analysis model considering the influence of the shaft deflection of the bearing was established based on the rolling bearing design method and the flexible beam theory.Then,the influences of external force,external force position and clearance on the loading distribution and stiffness of bearing were studied in detail.The load analysis shows that with the radial force increase,the additional torque generated by the shaft and the maximum contact load of each rolling row increase;with the force acting distance decrease,the additional torque generated by the shaft and the bearing load of each rolling row significantly reduce;when the radial clearance of the roller row increases,the maximum contact load of each rolling row increases,the bearing area decreases,and the load distribution uniformity decreases.The stiffness analysis shows that with the radial force increase,the main stiffness of each rolling row increases significantly;however,the decrease of the load acting distance and the increase of the radial clearance of the roller row will cause the main stiffness to decline to a certain extent.
引文
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[11]YANG Zhaohui,CHEN Hui,YU Tianxiang.Effects of rolling bearing configuration on stiffness of machine tool spindle[J].Journal of Mechanical Engineering Science,2017,232(5):775-785.
[12]LI Baotong,LIU Jun,LIU Zhifeng.Stiffness design of machine tool structures by a biologically inspired topology optimization method[J].International Journal of Machine Tools and Manufacture,2014,84(6):33-44.
[13]ZHANG Jinhua,FANG Bin,HONG Jun et al.A general model for preload calculation and stiffness analysis for combined angular contact ball bearings[J].Journal of Sound and Vibration,2017,411:435-449.
[14]TONG V C,HONG S W.Study on the stiffness and fatigue life of tapered roller bearingswith roller diameter error[J].Journal of Engineering Tribology,2017,231(2):176-188.
[15]TONG V C,HONG S W.The effect of angular misalignment on the stiffness characteristics of tapered roller bearings[J].Journal of Engineering Tribology,2017,231(4):712-727.
[2]中华人民共和国工业和信息化部.滚动轴承水泵轴连轴承:JB/T8563-2010[S].北京:中国标准出版社,2010.
[3]CHEN Guanci,JIA Ping,HE Jiangqiang.Effects of geometric parameters on static load capacity of a double-row four-point contact ball bearing[J].Journal of Mechanical Science and Technology,2013,27(4):1053-1061.
[4]王艳霜,袁倩倩,曹佳伟,等.特大型双排四点接触球轴承承载能力的研究[J].机械工程学报,2014,50(9):65-70WANG Yanshaung,YUAN Qianqian,CAO Jianwei,et al.Research on static load-carrying capacity of large size double row four-point contact ball bearings[J].Journal of Mechanical Engineering,2014,50(9):65-70.(in Chinese)
[5]马方波,纪鹏,安琦.双列球面滚子轴承力学分析及滚子受载计算方法[J].华东理工大学学报,2015,41(1):111-117.MA Fangbo,JI Peng,AN Qi,Double row spherical roller bearing mechanical analysis and rollers load calculation[J].Journal of East China University of Science and Technology,2015,41(1):111-117.(in Chinese)
[6]REN Xiaoli,ZHAI Jia,RE Ge.Calculation of radial load distribution on ball and roller bearings with positive,negative and zero clearance[J].International Journal of Mechanical Sciences,2017,131/132:1-7.
[7]WANG Hua,HE Pieyu,PANG Bitao et al.A new computational model of large three-row roller slewing bearings using nonlinear springs[J].Journal of Mechanical Engineering Science,2017,231(20):3831-3839.
[8]LI Zhengmei,ZHOU Qiong,AN Qi,et al.Influences of eccentric unbalances on loads and life of auto water pump bearing[J].Mechanism and Machine Theory,2011,46(3):253-263.
[9]NOELl D,RITOU M,FURET B.Complete analytical expression of the stiffness matric of angular contact ball bearings[J].Journal of Tribology,2013,135(4):1101-1109.
[10]WU Wenwu,HONG Jun,LI Yang et al.Investigation of non-uniform preload effect on stiffness behavior of angular contact ball bearings[J].Advances in Mechanical Engineering,2017,9(3):1-9.
[11]YANG Zhaohui,CHEN Hui,YU Tianxiang.Effects of rolling bearing configuration on stiffness of machine tool spindle[J].Journal of Mechanical Engineering Science,2017,232(5):775-785.
[12]LI Baotong,LIU Jun,LIU Zhifeng.Stiffness design of machine tool structures by a biologically inspired topology optimization method[J].International Journal of Machine Tools and Manufacture,2014,84(6):33-44.
[13]ZHANG Jinhua,FANG Bin,HONG Jun et al.A general model for preload calculation and stiffness analysis for combined angular contact ball bearings[J].Journal of Sound and Vibration,2017,411:435-449.
[14]TONG V C,HONG S W.Study on the stiffness and fatigue life of tapered roller bearingswith roller diameter error[J].Journal of Engineering Tribology,2017,231(2):176-188.
[15]TONG V C,HONG S W.The effect of angular misalignment on the stiffness characteristics of tapered roller bearings[J].Journal of Engineering Tribology,2017,231(4):712-727.