Mathematical Model of Double Row Self-Aligning Ball Bearing

Research output: Contributions to collected editions/worksArticle in conference proceedingsResearchpeer-review

Standard

Mathematical Model of Double Row Self-Aligning Ball Bearing. / Ambrożkiewicz, Bartłomiej; Litak, Grzegorz; Georgiadis, Anthimos et al.
Perspectives in Dynamical Systems II — Numerical and Analytical Approaches - DSTA 2021. ed. / Jan Awrejcewicz. Springer Verlag, 2024. p. 29-39 (Springer Proceedings in Mathematics and Statistics; Vol. 454).

Research output: Contributions to collected editions/worksArticle in conference proceedingsResearchpeer-review

Harvard

Ambrożkiewicz, B, Litak, G, Georgiadis, A, Syta, A, Meier, N & Gassner, A 2024, Mathematical Model of Double Row Self-Aligning Ball Bearing. in J Awrejcewicz (ed.), Perspectives in Dynamical Systems II — Numerical and Analytical Approaches - DSTA 2021. Springer Proceedings in Mathematics and Statistics, vol. 454, Springer Verlag, pp. 29-39, 16th International Conference on Dynamical Systems Theory and Applications - DSTA 2021, Lodz, Poland, 06.12.21. https://doi.org/10.1007/978-3-031-56496-3_3

APA

Ambrożkiewicz, B., Litak, G., Georgiadis, A., Syta, A., Meier, N., & Gassner, A. (2024). Mathematical Model of Double Row Self-Aligning Ball Bearing. In J. Awrejcewicz (Ed.), Perspectives in Dynamical Systems II — Numerical and Analytical Approaches - DSTA 2021 (pp. 29-39). (Springer Proceedings in Mathematics and Statistics; Vol. 454). Springer Verlag. https://doi.org/10.1007/978-3-031-56496-3_3

Vancouver

Ambrożkiewicz B, Litak G, Georgiadis A, Syta A, Meier N, Gassner A. Mathematical Model of Double Row Self-Aligning Ball Bearing. In Awrejcewicz J, editor, Perspectives in Dynamical Systems II — Numerical and Analytical Approaches - DSTA 2021. Springer Verlag. 2024. p. 29-39. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-3-031-56496-3_3

Bibtex

@inbook{9bc58abfa26d4b6ca359dd8a5524a26b,
title = "Mathematical Model of Double Row Self-Aligning Ball Bearing",
abstract = "Ball bearings are widely used in variety of rotary mechanisms expecting their maintenance-free operation. One of the main factors influencing bearing life is radial internal clearance (RIC), which can be simply described as relative movement of ball and raceway perpendicular to the bearing axis. Mentioned parameter has a significant impact on dynamic response of applied ball bearing in the system and brings strong nonlinear effects. In the paper nonlinear 2 degrees of freedom (2-DOF) model of double-row self-aligning ball bearing is established. Mentioned type of bearing is very important from operation point of view, because it is used in applications, where strong misalignments are expected coming from assembly of shaft deflection. Model input data are based on characteristics of bearing 2309SK. Results of bearing dynamic response are studied for different values of radial internal clearance. For quantitative and qualitative analysis of nonlinear time series a few recurrence quantificators, providing information on bearing{\textquoteright}s behavior regarding RIC{\textquoteright}s value. Results can be used in the validation process with acceleration response coming from the real bearing node.",
keywords = "Diagnostics, Nonlinear mathematical model, Recurrence analysis, Rolling-element bearing modeling, Self-aligning ball bearing, Mathematics, Engineering",
author = "Bart{\l}omiej Ambro{\.z}kiewicz and Grzegorz Litak and Anthimos Georgiadis and Arkadiusz Syta and Nicolas Meier and Alexander Gassner",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.; 16th International Conference on Dynamical Systems Theory and Applications - DSTA 2021, DSTA 2021 ; Conference date: 06-12-2021 Through 09-12-2021",
year = "2024",
doi = "10.1007/978-3-031-56496-3_3",
language = "English",
isbn = "978-3-031-56495-6",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer Verlag",
pages = "29--39",
editor = "Jan Awrejcewicz",
booktitle = "Perspectives in Dynamical Systems II — Numerical and Analytical Approaches - DSTA 2021",
address = "Germany",
url = "https://assets-plus.eu/event/dsta-2021-16th-international-conference-dynamical-systems-theory-and-applications/",

}

RIS

TY - CHAP

T1 - Mathematical Model of Double Row Self-Aligning Ball Bearing

AU - Ambrożkiewicz, Bartłomiej

AU - Litak, Grzegorz

AU - Georgiadis, Anthimos

AU - Syta, Arkadiusz

AU - Meier, Nicolas

AU - Gassner, Alexander

N1 - Conference code: 16

PY - 2024

Y1 - 2024

N2 - Ball bearings are widely used in variety of rotary mechanisms expecting their maintenance-free operation. One of the main factors influencing bearing life is radial internal clearance (RIC), which can be simply described as relative movement of ball and raceway perpendicular to the bearing axis. Mentioned parameter has a significant impact on dynamic response of applied ball bearing in the system and brings strong nonlinear effects. In the paper nonlinear 2 degrees of freedom (2-DOF) model of double-row self-aligning ball bearing is established. Mentioned type of bearing is very important from operation point of view, because it is used in applications, where strong misalignments are expected coming from assembly of shaft deflection. Model input data are based on characteristics of bearing 2309SK. Results of bearing dynamic response are studied for different values of radial internal clearance. For quantitative and qualitative analysis of nonlinear time series a few recurrence quantificators, providing information on bearing’s behavior regarding RIC’s value. Results can be used in the validation process with acceleration response coming from the real bearing node.

AB - Ball bearings are widely used in variety of rotary mechanisms expecting their maintenance-free operation. One of the main factors influencing bearing life is radial internal clearance (RIC), which can be simply described as relative movement of ball and raceway perpendicular to the bearing axis. Mentioned parameter has a significant impact on dynamic response of applied ball bearing in the system and brings strong nonlinear effects. In the paper nonlinear 2 degrees of freedom (2-DOF) model of double-row self-aligning ball bearing is established. Mentioned type of bearing is very important from operation point of view, because it is used in applications, where strong misalignments are expected coming from assembly of shaft deflection. Model input data are based on characteristics of bearing 2309SK. Results of bearing dynamic response are studied for different values of radial internal clearance. For quantitative and qualitative analysis of nonlinear time series a few recurrence quantificators, providing information on bearing’s behavior regarding RIC’s value. Results can be used in the validation process with acceleration response coming from the real bearing node.

KW - Diagnostics

KW - Nonlinear mathematical model

KW - Recurrence analysis

KW - Rolling-element bearing modeling

KW - Self-aligning ball bearing

KW - Mathematics

KW - Engineering

UR - http://www.scopus.com/inward/record.url?scp=85199516406&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/77027289-c23a-37c1-8f4b-a69e85a3ce8c/

U2 - 10.1007/978-3-031-56496-3_3

DO - 10.1007/978-3-031-56496-3_3

M3 - Article in conference proceedings

AN - SCOPUS:85199516406

SN - 978-3-031-56495-6

T3 - Springer Proceedings in Mathematics and Statistics

SP - 29

EP - 39

BT - Perspectives in Dynamical Systems II — Numerical and Analytical Approaches - DSTA 2021

A2 - Awrejcewicz, Jan

PB - Springer Verlag

T2 - 16th International Conference on Dynamical Systems Theory and Applications - DSTA 2021

Y2 - 6 December 2021 through 9 December 2021

ER -

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