Vibration analysis of ball bearing considering waviness under high speed and an axial load

Based on the rolling bearing vibration measurement principle in ISO standard, a nonlinear dynamic model of ball bearing is built and motion equations of the inner ring, outer ring, and rolling elements are derived by using Lagrange’s equation. The ball bearing model includes the influence of wavines...

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Main Authors: P.P Hou, L.Q. Wang, Q.Y. Peng
Format: Article
Language:English
Published: Polish Academy of Sciences 2020-06-01
Series:Bulletin of the Polish Academy of Sciences: Technical Sciences
Subjects:
Online Access:https://journals.pan.pl/Content/116538/PDF/13_517-527_01376_Bpast.No.68-3_30.06.20_K1G.pdf
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author P.P Hou
L.Q. Wang
Q.Y. Peng
author_facet P.P Hou
L.Q. Wang
Q.Y. Peng
author_sort P.P Hou
collection DOAJ
description Based on the rolling bearing vibration measurement principle in ISO standard, a nonlinear dynamic model of ball bearing is built and motion equations of the inner ring, outer ring, and rolling elements are derived by using Lagrange’s equation. The ball bearing model includes the influence of waviness, rotational speed, external load, arbor supporting stiffness and arbor eccentricity. Ball bearing high-speed vibration tests are performed and used to verify the theoretical results. Simulated results showed that specific waviness orders produced the principal frequencies that were proportional to rotational speed. Rotational speed mainly affected the value of the natural frequency of the bearing system, and RMS (Root Mean Square) of the full band had a great fluctuation with the increase of rotational speed. In the experiment, spectrum and RMS of 2fs-30 kHz (fs: the rotational frequency of inner ring/arbor) under high speed could include not only the influence of rotational speed but also principal frequencies produced by waviness, which could cover the part of requirements of the standard bearing vibration measurement.
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spelling doaj.art-70590ceb87e84e8fb262dd04b7736e512022-12-22T04:00:23ZengPolish Academy of SciencesBulletin of the Polish Academy of Sciences: Technical Sciences2300-19172020-06-0168No. 3517527https://doi.org/10.24425/bpasts.2020.133382Vibration analysis of ball bearing considering waviness under high speed and an axial loadP.P HouL.Q. WangQ.Y. PengBased on the rolling bearing vibration measurement principle in ISO standard, a nonlinear dynamic model of ball bearing is built and motion equations of the inner ring, outer ring, and rolling elements are derived by using Lagrange’s equation. The ball bearing model includes the influence of waviness, rotational speed, external load, arbor supporting stiffness and arbor eccentricity. Ball bearing high-speed vibration tests are performed and used to verify the theoretical results. Simulated results showed that specific waviness orders produced the principal frequencies that were proportional to rotational speed. Rotational speed mainly affected the value of the natural frequency of the bearing system, and RMS (Root Mean Square) of the full band had a great fluctuation with the increase of rotational speed. In the experiment, spectrum and RMS of 2fs-30 kHz (fs: the rotational frequency of inner ring/arbor) under high speed could include not only the influence of rotational speed but also principal frequencies produced by waviness, which could cover the part of requirements of the standard bearing vibration measurement.https://journals.pan.pl/Content/116538/PDF/13_517-527_01376_Bpast.No.68-3_30.06.20_K1G.pdfrotational speedball bearingvibration characteristicsfrequency bandrms
spellingShingle P.P Hou
L.Q. Wang
Q.Y. Peng
Vibration analysis of ball bearing considering waviness under high speed and an axial load
Bulletin of the Polish Academy of Sciences: Technical Sciences
rotational speed
ball bearing
vibration characteristics
frequency band
rms
title Vibration analysis of ball bearing considering waviness under high speed and an axial load
title_full Vibration analysis of ball bearing considering waviness under high speed and an axial load
title_fullStr Vibration analysis of ball bearing considering waviness under high speed and an axial load
title_full_unstemmed Vibration analysis of ball bearing considering waviness under high speed and an axial load
title_short Vibration analysis of ball bearing considering waviness under high speed and an axial load
title_sort vibration analysis of ball bearing considering waviness under high speed and an axial load
topic rotational speed
ball bearing
vibration characteristics
frequency band
rms
url https://journals.pan.pl/Content/116538/PDF/13_517-527_01376_Bpast.No.68-3_30.06.20_K1G.pdf
work_keys_str_mv AT pphou vibrationanalysisofballbearingconsideringwavinessunderhighspeedandanaxialload
AT lqwang vibrationanalysisofballbearingconsideringwavinessunderhighspeedandanaxialload
AT qypeng vibrationanalysisofballbearingconsideringwavinessunderhighspeedandanaxialload