Next Article in Journal
The Performance of Carbon-Based Nanomaterials in Different Base Oils and an Oil Blend
Previous Article in Journal
Green-Emitting Carbon Quantum Dots: Highly Sensitive Temperature Sensing Probe in Nanocomposite and Lubrication System
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Commentary

Behavior of Lubricated Bearings in Electric Circuits

by
Eckhard Kirchner
1,*,
Marcel Bartz
2,* and
Florian Becker-Dombrowsky
1
1
Institute for Product Development and Machine Elements, Technical University of Darmstadt, Otto-Berndt-Straße 2, 64287 Darmstadt, Germany
2
Department of Mechanical Engineering, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Engineering Design, Martensstraße 9, 91058 Erlangen, Germany
*
Authors to whom correspondence should be addressed.
Lubricants 2024, 12(3), 89; https://doi.org/10.3390/lubricants12030089
Submission received: 14 February 2024 / Revised: 5 March 2024 / Accepted: 9 March 2024 / Published: 11 March 2024
In recent years, electrical damage phenomena in rolling and plain bearings have become increasingly important due to the growing electrification of individual mobility and renewable energy technologies. Being a major root cause, the electrically induced bearing failure has been intensively analyzed in fundamental and application-oriented research. Even though being of general importance for, e.g., electric mobility, much of the research work is published in German; this special issue shall provide a comprehensive overview in the topic of the behavior of lubricated bearings in electric circuits. The models available in the literature by Furtmann [1,2] and Gemeinder [3] for describing the electrical impedance behavior of rolling element bearings were developed for the analysis of electrically induced bearing damage [4]. The current impedance models of rolling element bearings assume operation in the elasto-hydrodynamic range according to Prashad [5] and describe the individual rolling contacts under full lubrication as plate capacitors that are electrically connected via the components of the rolling element bearing. The rolling contact between the rolling element and the bearing raceway develops a Hertzian contact surface, which represents the surface of the plate capacitor. The models of Furtmann [1,2] and Gemeinder [3] are based on the consideration of the loaded rolling elements only; Schirra extends the approach by including the load-free rolling element contacts for sensory purposes [6,7]. For journal bearings, due to the absence of rolling elements and the rather plain bearing surfaces, more sophisticated models, such as the cylinder capacitor, can be used to achieve a good agreement between model predictions and test rig measurements, e.g., for the lubricating film thickness or other operation conditions [8,9,10,11]. However, such methods cannot be used for insulating coatings, such as those found in tilting pad bearings with, e.g., PEEK thrust pads forming an extra capacitor arranged in series with the lubrication film. For plain bearings, this is a recent field of research and current research, e.g., by Stottrop et al., uses combined methods with inductive measurement methods here [12]. In addition to measuring the thickness of the lubricating film, there is also a trend towards sensor-integrated bearing types [13].
In addition, the ongoing discussions on the digitalization of industrial processes in general combined with a strong trend towards health monitoring and predictive maintenance have led to a trend to use operation-condition-dependent electrical properties of rolling element bearings and hydrodynamic journal bearings as highly integrated sensors. The lubricated bearing becomes an active element in the electric circuit. In industrial practice, the early detection of damage in rolling element bearings is based on the observation of structure-borne noise levels, oil contaminants, and component temperature [14,15,16], whereby the warning times before a failure are comparatively short. Initial damage to the raceways in the form of a geometric deviation relative to the new condition must be present in order to be able to detect the damage via the change in the vibration signature. In many cases, the evaluation of the structure-borne sound signature via an order analysis provides direct information about the location of the initial damage [14,17,18]. An earlier identification of incipient damage by in situ measurement methods directly on the bearing is not sufficiently usable at the moment, and the use of artificial intelligence methods always requires a change in the operating behavior of the machine in order to be able to detect incipient damage [19]. The usage of machine-learning methods is state of the art, but it also widens the scope of the current research to optimize the response time between damage occurrence and damage detection [20,21,22]. The challenge is that a high amount of well-structured data in a high quality is necessary to train the algorithms [23]. Another challenge with most techniques is that the sensors, attached or integrated [24], require additional installation space [25,26,27]. While it is quite uncomplicated for certain operating parameters to integrate sensors in as neutral a way as possible, e.g., for temperature measurement [28], it is more difficult for load distribution and damage detection [18,29,30]. One way of detecting damage as early as possible would be to use the electrical impedance of the bearing, which is a major advantage in terms of the desired resilient system behavior if an adaptive control system can be used to respond to the onset of damage [31]. Another possibility is offered by printed sensors, such as those used by [32,33,34,35], but these are not yet for widespread use in bearings. Initial work on the integration of thin sensors in bearings can be found, for example, in Konopka et al. [36,37,38].
Hence, the electrical behavior of both rolling and plain bearings is a hot topic in machine element research [30], as well as in electric machine development. Recent challenges are, for example, current passages which can damage rolling bearings; the load-dependent behavior of rotor bearings in electric machines that influences the performance and reliability of the overall system; and challenges which arise, e.g., when coatings and components are used that affect the electrical conductivity. However, the electrical characteristic of bearings, such as the load-dependent electrical behavior, the use of insulating and conductive coatings, or the integration of further components, make these bearings attractive as sensory elements to accelerate digitization processes. Finally, damage patterns resulting from electric effects need to be explained, quantified, and predicted for all kinds of lubricated bearings including the lubricant itself.
This Special Issue presents a current synopsis of both industrial and academic research results addressing the behavior of lubricated bearings in the electric circuit both from a (passive) damage-oriented perspective as well as from an (active) sensorial point of view. The requirements on the accuracy of a phenomenological math model increase drastically when moving from the passive to the active behavior. We are delighted that this Special Issue brings together seven articles covering the entire spectrum mentioned above.
To begin this Special Issue, the earliest paper contained in this issue provides an important and necessary overview of the state-of-the-art research regarding electrical bearing currents. Schneider et al. [39] pave the scene discussing firstly rolling element bearings suffering current-induced bearing damage in electrical drive systems, and they describe the mechanisms leading to known electrical damage patterns. They consider the harmful current passage in the machine element as a phenomenon on the system level taking into account the whole drive system consisting of the machine elements, the electric motor, and the connected power electronics. This publication provides an overview of the state-of-the-art research regarding electrical bearing currents.
Graf et al. [40] investigate the influence of parasitic currents using a thrust bearing lubricated with mineral oil. In particular, the influence of an additional electrical load and the lubricant, which is chemically analyzed to detect changes in the lubricant, are investigated. These investigations are compared with the raceway damages that occur, and a comparison with mechanical reference tests is carried out. These investigations are motivated by the increased occurrence of parasitic currents in electric motors and are therefore highly relevant for e-mobility, in particular.
In addition to the analysis of the influence of the electrical load and the lubricant on parasitic currents, it is important to know the lubricant film conditions, as these have an important influence on the current passage due to the lubricant film height. This is precisely the task addressed by Maruyama et al. [41], who present a lubrication condition monitoring method for the line contact of a thrust needle roller bearing using the electrical impedance method. At first, Maruyama et al. show the theoretical feasibility of determining the oil film thickness and the breakdown ratio when an AC voltage is applied to a line contact. The theoretical findings are then investigated experimentally, revealing deviations between the theoretical assumptions and the applied results. A final discussion shows that the developed method can be suitable to determine the lubricant film conditions in EHD line contacts, and the recent challenges are pointed out.
Zaiat et al. [42] show that the surface topology has an important influence on current passages by investigating the influence of pittings in the EHL rolling contact on the electrical capacitance. To investigate this, a multi-physical numerical calculation is extended by the pitting geometry, which changes the electric properties. The changes in the electric properties are measured using the electric capacitance of the contact and put into perspective with regard to the EHL contacts geometry. The results show that with the same pitting structures, even small deviations in the pitting geometry result in larger deviations in the capacitance, which means that pittings have an important influence on current passages.
The lubricant film height has an important influence on the current passage. Nevertheless, this is difficult to measure. However, since it is also difficult to measure the load distribution and the strain, which can be used to draw conclusions about the lubricant film height, for example, Bartz et al. [43] presents a way of using printed sensors to measure the strain in small installation spaces, such as in rolling bearings. This technique is also applicable for condition monitoring and predictive maintenance. Using the example of a cylindrical rolling bearing, Bartz et al. show the main advantages of this method, based on experimental investigations that are compared with an FE simulation.
The article by Safdarzadeh et al. [44] provides a very application-oriented investigation of the factors influencing the bearing currents, in particular the effect of variable DC bearing current amplitude, bearing current polarity, mechanical force, rotation speed, bearing temperature, and number of the balls on the fluting in an axial ball bearing. The results show in great detail the effects of increasing or decreasing an influencing variable on the electrical DC bearing currents and the interdependencies between them.
The above-mentioned papers show the many perspectives of the ongoing research in the topic of this Special Issue and indicate which research is currently required to improve future applications, e.g., in the important field of the mobility transformation with alternative drives or sustainable energy generation, such as wind power, in order to ensure safe operating conditions.
In the end, Puchtler et al. [45] investigate the influence of axial and radial loads as well as the impact of rotational speed to the occurrence of electrical bearing damage. Several new bearings are tested under varying operational conditions. They are electrically loaded by a realistic voltage signal with alternating amplitudes to trigger harmful bearing currents. The authors provide insights into the damaging process and its behavior, which is especially interesting for different applications fields like the electric individual mobility or wind energy.
Finally, the Guest Editors would like to thank all the authors for their great contributions, as well as all the reviewers and the staff at MDPI Lubricants for their valuable support and professional assistance.

Author Contributions

Conceptualization, E.K. and M.B.; writing—original draft preparation, E.K., M.B. and F.B.-D.; writing—review and editing, E.K. and M.B.; project administration, F.B.-D. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Conflicts of Interest

The authors declare no conflicts of interest.

References

  1. Furtmann, A.; Poll, G. Evaluation of Oil-Film Thickness along the Path of Contact in a Gear Mesh by Capacitance Measurement. Tribol. Online 2016, 11, 189–194. [Google Scholar] [CrossRef]
  2. Furtmann, A. Elektrisches Verhalten von Maschinenelementen im Antriebsstrang. Ph.D. Thesis, Universität Hannover, Hannover, Germany, 2017. [Google Scholar]
  3. Gemeinder, Y. Lagerimpedanz und Lagerschädigung bei Stromdurchgang in Umrichtergespeisten Elektrischen Maschinen; Ingenieurwissenschaftlicher Verlag: Bonn, Germany, 2016. [Google Scholar]
  4. Radnai, B.; Gemeinder, Y.; Kiekbusch, T.; Sauer, B.; Binder, A. Schädlicher Stromdurchgang. Untersuchung des Schädigungsmechanismus und der Zulässigen Lagerstrombelastung von Wälzlagern in E-Motoren und Generatoren Verursacht Durch Parasitäre Hochfrequente Lagerströme; FVA-Heft 1127, Forschungsvorhaben Nr. 650 I: Frankfurt, Germany, 2016; p. 1127. [Google Scholar]
  5. Prashad, H. Tribology in Electrical Environments; Tribology and interface engineering series, Bd. 49; Elsevier: Amsterdam, The Netherlands, 2006; Tribology online (11) 2 S; pp. 189–194. [Google Scholar]
  6. Schirra, T. Phänomenologische Betrachtung der Sensorisch Nutzbaren Effekte am Wälzlager–Einfluss Unbelasteter Wälzkörper auf Die Elektrische Impedanz. Dr.-Ing.-Dissertation, Technische Universität Darmstadt, Darmstadt, Germany, 2020. [Google Scholar]
  7. Schirra, T.; Martin, G.; Puchtler, S.; Kirchner, E. Electric Impedance of Rolling Bearings—Consideration of Unloaded Rolling Elements. Tribol. Int. 2021, 158, 106927. [Google Scholar] [CrossRef]
  8. Kukla, S.; Buchhorn, N.; Bender, B. Design of an axially concave pad profile for a large turbine tilting-pad bearing. Proc. Inst. Mech. Eng. Part J J. Eng. Tribol. 2017, 231, 479–488. [Google Scholar] [CrossRef]
  9. Cangioli, F.; Livermore-Hardy, R.; Pethybridge, G.; Mermertas, U.; Stottrop, M.; Bender, B. Experimental Investigation and Numerical Modelling of a Large Heavily-Loaded Tilting Pad Journal Bearing with Polymer Lined Pads. In Proceedings of the ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. Volume 10A: Structures and Dynamics, Virtual, Online, 21–25 September 2020; ASME: New York, NY, USA, 2020; p. V10AT25A037. [Google Scholar] [CrossRef]
  10. Stottrop, M.; Bender, B. Mechanical and Thermal Deformation Analysis of a Large Polymer Lined Tilting Pad Journal Bearing. In Proceedings of the ASME Turbo Expo 2021: Turbomachinery Technical Conference and Exposition. Volume 9A: Structures and Dynamics—Aerodynamics Excitation and Damping; Bearing and Seal Dynamics; Emerging Methods in Design and Engineering, Virtual, Online, 7–11 June 2021; ASME: New York, NY, USA, 2021; p. V09AT24A006. [Google Scholar] [CrossRef]
  11. Harder, A.; Kirchner, E. Untersuchung der Sensorischen Eigenschaften von Gleitlagern; Dresdner Maschinenelemente Kolloquium 2019; Sierke Verlag: Dresden, Germany, 2019; pp. 533–542. [Google Scholar]
  12. Stottrop, M.; Engels, A.; Weißbacher, C.; Bender, B. Experimental Investigation of a Large Tilting-Pad Journal Bearing with a Direct-Bonded Sub-Millimeter PEEK Lining. In Proceedings of the ASME Turbo Expo 2023: Turbomachinery Technical Conference and Exposition. Volume 11A: Structures and Dynamics—Aerodynamics Excitation and Damping; Bearing and Seal Dynamics, Boston, MA, USA, 26–30 June 2023; ASME: New York, NY, USA, 2023; p. V11AT22A008. [Google Scholar] [CrossRef]
  13. Baszenski, J.T.; Jacobs, G.; Lehmann, B.F.; Kauth, K.; Kratz, K.-H.; Gemmeke, T. Sensorintegrierende Gleitlager–Energieautarkes, temperaturbasiertes Zustandsüberwachungssystem. In Proceedings Gleit- und Wälzlagerungen 2023: 15. VDI-Fachtagung: Gestaltung–Berechnung–Einsatz: 13. und 14. Juni 2023, Schweinfurt Maininsel/Fachlicher Träger: VDI-Gesellschaft Produkt- und Prozessgestaltung, Fachbereich Getriebe und Maschinenelemente, Seiten/Artikel-Nr: 381-402; VDI Verlag GmbH: Dusseldorf, Germany, 2023; ISBN 978-3-18-092415-1. [Google Scholar]
  14. Schaeffler Monitoring Services. Condition Monitoring Praxis; Vereinigte Fachverlage: Mainz, Germany, 2019. [Google Scholar]
  15. Randal, R.B. Vibration-Based Condition Monitoring: Industrial, Aerospace and Automotive Applications; John Wiley & Sons, Ltd.: Hoboken, NJ, USA, 2011. [Google Scholar]
  16. Jardine, A.K.S.; Lin, D.; Banjevic, B. A review on machinery diagnostics and prognostics implementing condition-based maintenance. Mech. Syst. Signal Process. 2006, 20, 1483–1510. [Google Scholar] [CrossRef]
  17. Plöger, D. Modulation der Zahneingriffsschwingungen von Planetengetrieben. In Forschungsberichte Mechatronische Systeme im Maschinenbau; Shaker Verlag, Technische Universität: Darmstadt, Germany, 2020; ISBN 978-3-8440-7196-2. [Google Scholar] [CrossRef]
  18. Holm-Hansen, B.T.; Gao, R.X. Vibration Analysis of a Sensor-Integrated Ball Bearing. J. Vib. Acoust. 2000, 122, 384–392. [Google Scholar] [CrossRef]
  19. Mehringskötter, S.; Preusche, C. Consideration of Variable Operating States in a Data-Based Prognostic Algorithm. In Proceedings of the 2019 IEEE Aerospace Conference, Yellowstone Conference Center, Big Sky, MT, USA, 2–9 March 2019. [Google Scholar]
  20. Lei, Y.; He, Z.; Zi, Y. A new approach to intelligent fault diagnosis of rotating machinery. Expert Syst. Appl. 2008, 35, 1593–1600. [Google Scholar] [CrossRef]
  21. Akpudo, U.E.; Hur, J.W. A feature fusion-based prognostics approach for rolling element bearings. J. Mech. Sci. Technol. 2020, 34, 4025–4035. [Google Scholar] [CrossRef]
  22. Lei, Y. Intelligent Fault Diagnosis and Remaining Useful Life Prediction of Rotating Machinery, 1st ed.; Butterworth-Heinemann: Oxford, UK, 2016; ISBN 9780128115343. [Google Scholar]
  23. Arabnia, H.R.; Daimi, K.; Stahlbock, R.; Soviany, C.; Heilig, L.; Brüssau, K. Principles of Data Science; Springer, Schweiz: Stuttgart, Germany, 2020; Volume 1. [Google Scholar] [CrossRef]
  24. Gao, R.X.; Holm-Hansen, B.T.; Wang, C. Design of a mechatronic bearing through sensor integration. In Proceedings of the SPIE 3518, Sensors and Controls for Intelligent Machining, Agile Manufacturing, and Mechatronics, Boston, MA, USA, 17 December 1998. [Google Scholar] [CrossRef]
  25. SKF. Sensor Bearing Units. 2018. Available online: https://www.skf.com/de/products/rolling-bearings/engineered-products/sensor-bearing-units (accessed on 9 January 2024).
  26. Schaeffler VarioSense—Modular Sensor Bearings. 2019. Available online: https://www.schaeffler.de/de/news_medien/mediathek/downloadcenter-detail-page.jsp?id=87412994 (accessed on 26 January 2024).
  27. Bauer, T.; Rottmann, A.; Glöckner, P. Smart Bearings zur Überwachung des Lagerzustandes in Triebwerken. In Proceedings Gleit- und Wälzlagerungen 2023: 15. VDI-Fachtagung: Gestaltung–Berechnung–Einsatz: 13. und 14. Juni 2023, Schweinfurt Maininsel/Fachlicher Träger: VDI-Gesellschaft Produkt- und Prozessgestaltung, Fachbereich Getriebe und Maschinenelemente, Seiten/Artikel-Nr: 381-402; VDI Verlag GmbH: Dusseldorf, Germany, 2023; ISBN 978-3-18-092415-1. [Google Scholar]
  28. Dong, Y.; Zhou, Z.; Liu, Z.; Zheng, K. Temperature field measurement of spindle ball bearing under radial force based on fiber Bragg grating sensors. Adv. Mech. Eng. 2015, 7. [Google Scholar] [CrossRef]
  29. Shao, H.; Jiang, H.; Li, X.; Wu, S. Intelligent fault diagnosis of rolling bearing using deep wavelet auto-encoder with extreme learning machine. Knowl.-Based Syst. 2018, 140, 1–14. [Google Scholar] [CrossRef]
  30. Kirchner, E.; Wallmersperger, T.; Gwosch, T.; Menning, J.D.M.; Peters, J.; Breimann, R.; Kraus, B.; Welzbacher, P.; Küchenhof, J.; Krause, D.; et al. A Review on Sensor-Integrating Machine Elements. Adv. Sens. Res. 2023. Early View. [Google Scholar] [CrossRef]
  31. Schulte, F.; Kirchner, E.; Kloberdanz, H. Analysis and Synthesis of Resilient Load-Carrying Systems. In Proceedings of the Design Society: International Conference on Engineering Design, 1 (1); Cambridge University Press: Cambridge, UK, 2019; pp. 1403–1412. [Google Scholar] [CrossRef]
  32. Bessonov, A.; Kirikova, M.; Haque, S.; Gartseev, I.; Bailey, M.J. Highly reproducible printable graphite strain gauges for flexible devices. Sens. Actuators A Phys. 2014, 206, 75–80. [Google Scholar] [CrossRef]
  33. Hrovat, M.; Belavič, D.; Makarovič, K.; Cilenšek, J.; Malič, B. Characterisation of thick-film resistors as gauge sensors on different LTCC substrates. J. Microelectron. Electron. Compon. Mater. 2014, 44, 4–11. [Google Scholar]
  34. Anderson, N.; Szorc, N.; Gunasekaran, V.; Joshi, S.; Jursich, G. Highly sensitive screen printed strain sensors on flexible substrates via ink composition optimization. Sens. Actuators A Phys. 2019, 290, 1–7. [Google Scholar] [CrossRef]
  35. Biehl, S.; Lüthje, H.; Bandorf, R.; Sick, J.-H. Multifunctional thin film sensors based on amorphous diamond-like carbon for use in tribological applications. Thin Solid Film. 2006, 515, 1171–1175. [Google Scholar] [CrossRef]
  36. Konopka, D.; Steppeler, T.; Ottermann, R.; Pape, F.; Dencker, F.; Poll, G.; Wurz, M.C. Advancements in monitoring of tribological stress in bearings using thin-film strain gauges. In Proceedings of the X ECCOMAS Thematic Conference on Smart Structures and Materials SMART 2023, Patras, Greece, 3–5 July 2023. [Google Scholar] [CrossRef]
  37. Winkelmann, C.; Woitschach, O.; Meyer, E.-M.; Lang, W. Development of a strain sensor for rolling contact loads. In Proceedings of the 2011 16th International Solid-State Sensors, Actuators and Microsystems Conference, Beijing, China, 5–9 June 2011; pp. 1080–1083. [Google Scholar] [CrossRef]
  38. Konopka, D.; Pape, F.; Ottermann, R.; Steppeler, T.; Dencker, F.; Wurz, M.C.; Poll, G. Characterization of an anti-wear coating for the application of highly loaded smart thin-film sensors. In Proceedings of the International Scientific Conference BALTTRIB 2022, Kaunas, Lithuania, 22–24 September 2022. [Google Scholar]
  39. Schneider, V.; Behrendt, C.; Höltje, P.; Cornel, D.; Becker-Dombrowsky, F.M.; Puchtler, S.; Gutiérrez Guzmán, F.; Ponick, B.; Jacobs, G.; Kirchner, E. Electrical Bearing Damage, A Problem in the Nano- and Macro-Range. Lubricants 2022, 10, 194. [Google Scholar] [CrossRef]
  40. Graf, S.; Koch, O.; Sauer, B. Influence of Parasitic Electric Currents on an Exemplary Mineral-Oil-Based Lubricant and the Raceway Surfaces of Thrust Bearings. Lubricants 2023, 11, 313. [Google Scholar] [CrossRef]
  41. Maruyama, T.; Radzi, F.; Sato, T.; Iwase, S.; Maeda, M.; Nakano, K. Lubrication Condition Monitoring in EHD Line Contacts of Thrust Needle Roller Bearing Using the Electrical Impedance Method. Lubricants 2023, 11, 223. [Google Scholar] [CrossRef]
  42. Zaiat, A.; Ibrahim, K.; Kirchner, E. Pitting Influence on Electrical Capacitance in EHL Rolling Contacts. Lubricants 2023, 11, 419. [Google Scholar] [CrossRef]
  43. Bartz, M.; Häußler, F.; Halmos, F.; Ankenbrand, M.; Jüttner, M.; Roudenko, J.; Wirsching, S.; Reichenberger, M.; Franke, J.; Wartzack, S. Use of Printed Sensors to Measure Strain in Rolling Bearings under Isolated Boundary Conditions. Lubricants 2023, 11, 424. [Google Scholar] [CrossRef]
  44. Safdarzadeh, O.; Capan, R.; Werner, M.; Binder, A.; Koch, O. Influencing Factors on the Fluting in an Axial Ball Bearing at DC Bearing Currents. Lubricants 2023, 11, 455. [Google Scholar] [CrossRef]
  45. Puchtler, S.; Maier, P.; Kuhn, M.; Burkhardt, Y. The Influence of Load and Speed on the Initial Breakdown of Rolling Bearings Exposed to Electrical Currents. Lubricants 2024, 12, 1. [Google Scholar] [CrossRef]
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.

Share and Cite

MDPI and ACS Style

Kirchner, E.; Bartz, M.; Becker-Dombrowsky, F. Behavior of Lubricated Bearings in Electric Circuits. Lubricants 2024, 12, 89. https://doi.org/10.3390/lubricants12030089

AMA Style

Kirchner E, Bartz M, Becker-Dombrowsky F. Behavior of Lubricated Bearings in Electric Circuits. Lubricants. 2024; 12(3):89. https://doi.org/10.3390/lubricants12030089

Chicago/Turabian Style

Kirchner, Eckhard, Marcel Bartz, and Florian Becker-Dombrowsky. 2024. "Behavior of Lubricated Bearings in Electric Circuits" Lubricants 12, no. 3: 89. https://doi.org/10.3390/lubricants12030089

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop