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Abstract

This paper presents the current study of the distribution of stresses for four-point contact wire race ball bearing. The main aim of this article is to define the most important geometrical rules in a wire-race bearing. The results for bearings of different geometrical parameters are presented. In the study, one also estimates the distribution of internal pressure in particular bearing elements.

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Bibliography

[1] Franke GmbH. Drahtwaelzlager, 2014. (in German).
[2] T. Solnicki. Large-diameter rolling bearings. Global and local problems. Publishing House of Wroclaw University of Science and Technology, 2013. (in Polish).
[3] E. Rusinski, J. Czmochowski, and T. Smolnicki. Advanced Finite Elements Method in carrying structures. Publishing House of Wroclaw University of Science and Technology, 2000. (in Polish).
[4] L. Kania. Local problems in numerical modeling of slewing bearings. Publishing House of Czestochowa University of Technology, 2012. (in Polish).
[5] L. Kania. Analysis of inner load in slewing bearings. Publishing House of Czestochowa University of Technology, 2005. (in Polish).
[6] H. Hertz. On the contact of rigid elastic solids and on hardness. In Miscellaneous Papers, pages 163–183. MacMillan, London, 1896.
[7] G. Lundberg and H. Sjovall. Stress and Deformation in Elastic Contacts. Gothenburg: Institution of Theory of Elasticity and Strength of Materials, Chalmers University of Technology, 1958.
[8] A. Palmgren. Ball and Roller Bearing Engineering. SKF Industries, Philadelphia, 3rd edition, 1959.
[9] N.M. Bielajew. Computation of maximal stresses obtained from formulas for pressure in bodies in contact. In Bull. Eng. Ways Commun. Leningrad, 1929.
[10] A. Daidié, Z. Chaib, and A. Ghosn. 3D simplified finite elements analysis of load and contact angle in a slewing ball bearing. Journal of Mechanical Design, 130(8):082601–082601–8, 2008. doi: 10.1115/1.2918915.
[11] You Hui-yuan, Zhu Chun-xi, and Li Wu-Xing. Contact analysis on large negative clearance four-point contact ball bearing. Procedia Engineering, 37:174–178, 2012. doi: 10.1016/j.proeng.2012.04.222.
[12] Abaqus/CAE User’s Manual.
[13] P. Göncz, M. Ulbin, and S. Glodež. Computational assessment of the allowable static contact loading of a roller-slewing bearing’s case-hardened raceway. International Journal of Mechanical Sciences, 94:174–184, May 2015. doi: 10.1016/j.ijmecsci.2015.03.006.
[14] R. Pandiyarajan, M.S. Starvin, and K.C. Ganesh. Contact stress distribution of large diameter ball bearing using Hertzian elliptical contact theory. Procedia Engineering, 38:264–269, 2012. doi: 10.1016/j.proeng.2012.06.034.
[15] R. Lostado, R.F. Martinez, and B.J. Mac Donald. Determination of the contact stresses in double-row tapered roller bearings using the finite element method, experimental analysis and analytical models. J ournal of Mechanical Science and Technology, 29(11):4645–4656, 2015. doi: 10.1007/s12206-015-1010-4.
[16] S.W. Hong and V.C. Tong. Rolling-element bearing modeling: A review. International Journal of Precision Engineering and Manufacturing, 17(12):1729–1749, 2016. doi: 10.1007/s12541-016-0200-z.
[17] I. Heras, J. Aguirrebeitia, and M. Abasolo. Friction torque in four contact point slewing bearings: Effect of manufacturing errors and ring stiffness. Mechanism and Machine Theory, 112:145–154, June 2017. doi: 10.1016/j.mechmachtheory.2017.02.009.
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Authors and Affiliations

Dominik Gunia
1
Tadeusz Smolnicki
1

  1. Wroclaw University of Science and Technology, Poland
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Abstract

Metallic bearing alloys have different types, most of which are tin (Babbitt) or bronze based. Bronze bearings are used at heavy duty conditions. The goal of this research is an investigation on the effect of cooling rate and pouring temperature (two important factors in casting production) on the Brinell hardness and pin-on-disc wear resistance (two important properties in bearing applications) of bronze SAE660. The melt had prepared by induction furnace. Then, it had poured in sand mold in four different casting conditions, including pouring temperatures of 950 oC and 1200 oC, and cooling with water and air. Finally, the microstructure, hardness and wear resistance of the SAE660 had investigated. The results indicated that if the maximum hardness, along with the minimum weight loss due to wear (or maximum wear resistance) is required; the contents of intermetallic compounds, lead phase and the solid solution phase should be more. In this way, the samples which are cooled in air and poured at 950 oC have the high hardness and the lowest weight loss.
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Authors and Affiliations

S.E. Vahdat
S. Karimifer
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Abstract

Bearings of three-bearing shafts are usually treated as ideally-rigid articulated supports. In literature, the reactions of supports and bending moments of multibearing shafts are calculated taking into consideration only shaft elasticity. In fact, also deformation is present in these bearings, and it changes the shaft bending line. The deformation thus influences distribution of bending moment and reaction of supports. It is the most important difference when comparing two-bearing with three-bearing shafts.

Moreover, in most types of bearings, a reactive bending moment is the response of bearing to unparallel position of inner bearing rings in relation to outer rings, that is to the tilt angle. As a result, real loads of rolling elements differ from theoretical ones.

The aim of the paper is to develop a method of calculating generalized loads in rolling bearings of a three-bearing shaft taking into consideration shaft deformation, deformations in bearings and reactive moments of bearings caused by tilt angle.

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Authors and Affiliations

Andrzej Raczyński
Jarosław Kaczor
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Abstract

Commonly used computations of basic rating life of a bearing system are based on the ISO 281:1990 standard. These computations include dynamic load capacity of a given bearing, its effective load and average rotational speed, whereas they omit distribution of external load acting upon particular rolling parts depending, among other things, on: - displacement in bearing (displacements in three directions and declination in two planes), - slackness in bearings. The aim of the presented theoretical research is to solve a problem of fatigue life of a ball bearing taking into consideration displacement in bearing resulting from elasticity of a three-bearing shaft, elasticity of bearings and their internal slackness.

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Authors and Affiliations

Jarosław Kaczor
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Abstract

This paper presents an analysis of the stator teeth geometry impact on the parameters of the 8-pole radial magnetic bearing. In this paper, such parameters as current gain and position stiffness have been analysed. Additionally, we have proposed criteria for evaluating the characteristics of these parameters by calculating the variability of current gain and position stiffness. The research has been performed by solving the magnetic bearing actuator boundary problem using the finite element method. Magnetic force has been calculated using the Maxwell stress tensor method. Other parameters, such as current gain and position stiffness have been calculated as partial derivate of the force with respect to control current and position of the rotor.

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Authors and Affiliations

Bronisław Tomczuk
Dawid Wajnert
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Abstract

Different methods are used for production of bronze bearings. In terms of technical specifications, the success of each of these methods

depends on the bond’s strength and in terms of economic, the production method is important. In this study, the aim is to study the strength

and microstructure of steel-bronze thrust bearing bond that has been produced through the casting using pre-mold. In this study, in order to

bond, the raw metals are chemically washed with sulfuric acid solution for five minutes at first. Then, the molten bronze SAE660 is cast in

a structural steel S235JR pre-mold. The bond’s strength has been measured using the shear test three times; the measurement of bond’s

length has been done using field emission scanning electron microscope (FESEM). The results indicate that the strength of the bond is at

least 94.8 MPa and bond’s length is 0.45 micrometers. Therefore, this method was successful for trust bearing application.

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Authors and Affiliations

M. Zaheri
S.E. Vahdat
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Abstract

Thrust bearing model is developed for fluid flow calculation and for determination of bearing integral characteristics in the presence of sliding surfaces closure and shaft angular displacements. The model is based on the coupled solution of the problem of incompressible fluid flow between the sliding surfaces and the problem of bearing and shaft elements deformation under the action of the fluid film pressure. Verification of the bearing model results is carried out by the comparison versus the fluid flow calculation results obtained by STAR-CD software and the experimental and theoretical results represented in the certain literature. Thrust bearing characteristics are determined versus sliding surfaces closure and rotating disk (runner) angular displacements. The contribution of the sliding surfaces deformations into bearing integral characteristics is estimated.

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Authors and Affiliations

Mikhail Temis
Alexander Lazarev
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Abstract

The article describes a test stand with a spindle equipped with an active bearing preload system using piezoelectric actuators. The proper functioning of the spindle and the active system was associated with the correct alignment of the spindle shaft and the drive motor. The article presents two methods of shaft alignment. The use of commonly known shaft alignment methods with dial indicators is insufficient from the viewpoint of being able to control this preload. This work aims at making the readers aware that, for systems with active bearing preload, the latest measuring devices should be used to align the shaft. The use of commonly known methods of equalization with dial gauges is insufficient from the point of view of controlling this preload. Increasing the accuracy of shaft alignment from 0.1 to 0.01 mm made it possible to obtain a 50% reduction in the displacement of the outer bearing ring during spindle operation.

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Bibliography

[1] F. Chen and G. Liu. Active damping of machine tool vibrations and cutting force measurement with a magnetic actuator. The International Journal of Advanced Manufacturing Technology, 89(1–4):691–700, 2017. doi: 10.1007/s00170-016-9118-y.
[2] A.H. Hadi Hosseinabadi and Y. Altintas. Modelling and active damping of structural vibrations in machine tools. CIRP Journal of Manufacturing Science and Technology, 7(3):246–257, 2014. doi: 10.1016/j.cirpj.2014.05.001.
[3] Y.K. Hwang and Ch.M. Lee. Development of a newly structured variable preload control device for a spindle rolling bearing by using an electromagnet. International Journal of Machine Tools and Manufacture, 50(3):253–259, 2010. doi: 10.1016/j.ijmachtools.2009.12.002.
[4] G. Quintana, J. de Ciurana, and F.J. Campa. Machine tool spindles. In: L.N. Lopez de Lacalle and Lamikiz (Eds.) Machine Tools for High Performance Machining, chapter 3, pages 75–126, Springer–Verlag, London, 2009.
[5] J. Sikorski and W. Pawłowski. Innovative designs of angular contact ball bearings systems preload mechanisms. Mechanik, 92(2):138–140, 2018. doi: 10.17814/mechanik.2018.2.29.
[6] J.S. Chen and K.W. Chen. Bearing load analysis and control of a motorized high speed spindle. International Journal of Machine Tools and Manufacture, 45(12-13):1487–1493, 2005. doi: 10.1016/j.ijmachtools.2005.01.024.
[7] P. Harris, B. Linke, and S. Spence. An energy analysis of electric and pneumatic ultra-high speed machine tool spindles. Procedia CIRP, 29:239–244, 2015.
[8] J. Dwojak and M. Rzepiela. Vibration Diagnostics of Machines and Devices. 2nd ed. Wyd. Biuro Gamma, Warsaw, Poland, 2005. (in Polish).
[9] G. Hagiu and B. Dragan. Feedback preload systems for high speed rolling bearings assemblies. The Annals of University Dunarea De Jos of Galati Fascicle VIII, 43–47, 2004.
[10] J. Kosmol and K. Lehrich. Electro spindle thermal model. Modelowanie Inżynierskie, 39:119–126, 2010. (in Polish).
[11] J. Vyroubal. Compensation of machine tool thermal deformation in spindle axis direction based on decomposition method. Precision Engineering, 36(1):121–127, 2012. doi: 10.1016/j.precisioneng.2011.07.013.
[12] J. Piotrowski. Shaft Alignment Handbook. 3rd edition. CRC Press, Boca Raton, 2006.
[13] S. Szymaniec. Research, Operation and Diagnostics of Machine Sets with Squirrel Cage Induction Motors. Wyd. Oficyna Wydawnicza Politechniki Opolskiej, Studia i Monografie, 333, Opole 2013. (in Polish).
[14] K.P. Anandan and O.B. Ozdoganlar. A multi-orientation error separation technique for spindle metrology of miniature ultra-high-speed spindles. Precision Engineering, 43:119–131, 2016. doi: 10.1016/j.precisioneng.2015.07.002.
[15] Z. Plutecki, S. Szymaniec, and J. Smykała. A new method for setting industrial drives. Zeszyty problemowe – maszyny elektryczne, 2(102), 201–207, 2014. (in Polish).
[16] J. Dwojak. The use of a laser to determine the alignment of machine shafts is a revolution in alignment. Transport Przemysłowy, 3, 2005. (in Polish).
[17] Shaft alignment, a professional system for measuring and aligning rotor machines. The Easy Laser Catalog. (in Polish).
[18] H. Krzemiński–Freda. Rolling Bearings. PWN, Warszawa, 1985. (in Polish).
[19] S. Waczyński. Shaft bearing using angular contact roller bearings and elastic element. Problems of unconventional bearing systems. A collection of Conference Works edited by J. Burcan, Łódź, 71–74, 1995. (in Polish).
[20] A. Parus, M. Pajor, and M. Hoffmann. Suppression of self-excited vibration in cutting process using piezoelectric and electromagnetic actuators. Advances in Manufacturing Science and Technology, 33(4):35–50, 2009.
[21] Operating Manual, Universal Amplifier QuantumX MX840A HBM, 2011.
[22] W. Modrzycki. Identification and compensation of machine tool errors. Inżynieria Maszyn, 13(3-4):91–100, 2008. (in Polish).
[23] P. Turek, W. Skoczyński, and M. Stembalski. Comparison of methods for adjusting and controlling the preload of angular-contact bearings. Journal of Machine Engineering. 16(2):71–85, 2016.
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Authors and Affiliations

Paweł Turek
1
Marek Stembalski
1

  1. Wrocław University of Science and Technology, Faculty of Mechanical Engineering, Wrocław, Poland.
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Abstract

The paper presents research on dynamics, modeling and the results of experimental tests of the rotor system rotating in gas lubricated bearing with a floating bush. The dependence of rotor vibration intensity on the waviness of bearing elements was tested and simulated. It was confirmed experimentally that the amplitude of rotor vibration in gas lubricated bearing with double gas film is basically lower than the one with single gas film. The kinetic orbits of the rotor shaft vibration displacements are presented. Dynamic and mathematical models constructed enable to design bearings that distinct optimal according to the minimal vibration intensity.

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Authors and Affiliations

Vytautas Barzdaitis
Vytautas Zemaitis
V.V. Barzdaitis
Rimantas Didziokas
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Abstract

This paper focuses on the radio direction finding (DF) in multipath environments. Based on the measurement results presented in the open literature, the authors analyse the influence of environment transmission properties on the spread of the signal reception angle. Parameters that define these properties are rms delay and angle spreads. For these parameters, the mutual relationship is determined. This relationship is the basis for assessment of the required number of bearings that minimize the influence of the environment on the accuracy of DF procedure. In the presented analysis, the statistical properties of the signal reception angle are approximated by the normal distribution. The number of bearings versus the rms delay spread is presented as the main objective of this paper. In addition, a methodology of the bearings’ spatial averaging that provides better estimation of the reception angle is shown.
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Authors and Affiliations

Cezary Ziółkowski
Jan Marcin Kelner
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Abstract

The occurrence of gas confined in shales allows us to consider it as a component of the host rock. During drilling wells, the gas is released into the drilling fluid from finely ground gas-bearing rock particles. The amount of gas released can be determined on the basis of mud-gas logging; in addition, it is possible to determine the gas-content in shales expressed by the volume of gas released per mass unit of rock [m3/ton]. The gas content in the Ordovician and Silurian shales (Sasin formation and Jantar member respectively) in two selected wells in northern Poland was determined using this method. It has been found that clearly distinguishable, highly gas-bearing sections, which are separated by very poorly gas-bearing ones, can be determined in the well log. The increased gas content in shales can be observed in zones generally enriched in TOC. No direct correlation between TOC and gas-bearing capacity was found however, but the structure of TOC variability and the gas-bearing capacity described using variograms is identical. Correlations of the distinguished gas-bearing layers in the wells under consideration suggest a multi-lens or multi-layered reservoir model. The lack of natural boundaries in the shale gas reservoir means that they must be determined arbitrarily based on the assumed marginal gas-bearing capacity. In the case of several gas-bearing zones, numerous variants of interpretation are possible. In any case the low, best and high estimated resources may be evaluated, assigned to each borehole in the area with radii equal to the range of variogram of gas content in horizontal part of the well.

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Authors and Affiliations

Marek Nieć
ORCID: ORCID
Angelika Musiał
Justyna Auguścik
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Abstract

The present work studies the tribological properties of new hybrid material composed from high porosity open cell aluminum alloy (AlSi10Mg) skeleton and B83 babbitt infiltrated into it. The porous skeleton is obtained by replication method applying salt (NaCl) as space holder. The reinforcing phase of the skeleton consists of Al2O3 particles. The skeleton contains Al2O3 particles as reinforcement. The microstructure of the obtained materials is observed and the tribological properties are determined. A comparison between tribological properties of nominally nonporous aluminum alloy, high porosity open cell skeleton, babbitt alloy and the hybrid material is presented. It is concluded that new hybrid material has high wear resistivity and is a promising material for sliding bearings and other machine elements with high wear resistivity.

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Authors and Affiliations

M. Kolev
L. Drenchev
L. Stanev
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Abstract

A common problem in transient rotordynamic simulations is the numerical effort necessary for the computation of hydrodynamic bearing forces. Due to the nonlinear interaction between the rotordynamic and hydrodynamic systems, an adequate prediction of shaft oscillations requires a solution of the Reynolds equation at every time step. Since closed-form analytical solutions are only known for highly simplified models, numerical methods or look-up table techniques are usually employed. Numerical solutions provide excellent accuracy and allow a consideration of various physical influences that may affect the pressure generation in the bearing (e.g., cavitation or shaft tilting), but they are computationally expensive. Look-up tables are less universal because the interpolation effort and the database size increase significantly with every considered physical effect that introduces additional independent variables. In recent studies, the Reynolds equation was solved semianalytically by means of the scaled boundary finite element method (SBFEM). Compared to the finite element method (FEM), this solution is relatively fast if a small discretization error is desired or if the slenderness ratio of the bearing is large. The accuracy and efficiency of this approach, which have already been investigated for single calls of the Reynolds equation, are now examined in the context of rotordynamic simulations. For comparison of the simulation results and the computational effort, two numerical reference solutions based on the FEM and the finite volume method (FVM) are also analyzed.
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Authors and Affiliations

Simon Pfeil
1
ORCID: ORCID
Fabian Duvigneau
1
ORCID: ORCID
Elmar Woschke
1
ORCID: ORCID

  1. Otto von Guericke University, Institute of Mechanics, Universitätspl. 2, 39106 Magdeburg, Germany
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Abstract

Designing touch-down bearings (TDB) for outer rotor flywheels operated under high vacuum conditions constitutes a challenging task. Due to their large diameters, conventional TDB cannot suited well, and a planetary design is applied, consisting of a number of small rolling elements distributed around the stator. Since the amplitude of the peak loads during a drop-down lies close to the static load rating of the bearings, it is expected that their service life can be increased by reducing the maximum forces. Therefore, this paper investigates the influence of elastomer rings around the outer rings in the TDB using simulations. For this purpose, the structure and the models used for contact force calculation in the ANEAS simulation software are presented, especially the modelling of the elastomers. Based on the requirements for a TDB in a flywheel application, three different elastomers (FKM, VMQ, EPDM) are selected for the investigation. The results of the simulations show that stiffness and the type of material strongly influence the maximum force. The best results are obtained using FKM, leading to a reduction of the force amplitude in a wide stiffness range.
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Bibliography

  1.  L. Quurck, H. Schaede, M. Richter, and S. Rinderknecht, “High Speed Backup Bearings for Outer-Rotor-Type Flywheels – Proposed Test Rig Design,” in Proceedings of ISMB 14, Linz, Austria, 2014, pp. 109–114.
  2.  L. Quurck, D. Franz, B. Schüßler, and S. Rinderknecht, “Planetary backup bearings for high speed applications and service life estimation methodology,” Mech. Eng. J., vol. 4, no. 5, 2017, doi: 10.1299/mej.17-00010.
  3.  L. Quurck, R. Viitala, D. Franz, and S. Rinderknecht, “Planetary Backup Bearings for Flywheel Applications,” in Proceedings of ISMB 16, Beijing, China, 2018.
  4.  J. Cao, P. Paul Allaire, T. Dimond, C. Klatt, and J.J.J. van Rensburg, “Rotor Drop Analyses and Auxiliary Bearing System Optimization for AMB Supported Rotor/Experimental Validation – Part II: Experiment and Optimization,” in Proceedings of ISMB 15, Kitakyushu, Japan, 2016, 819–825.
  5.  J. Schmied and J.C. Pradetto, “Behaviour of a One Ton Rotor being Dropped into Auxiliary Bearings,” in Proceedings of ISMB 3, Zürich, Schweiz, 1992, pp. 145–156.
  6.  Z. Yili and Z. Yongchun, “Dynamic Responses of Rotor Drops onto Auxiliary Bearing with the Support of Metal Rubber Ring,” Open Mech, Eng. J., vol. 9, no. 1, pp. 1057–1061, 2015, doi: 10.2174/1874155X01509011057.
  7.  A. Bormann, Elastomerringe zur Schwingungsberuhigung in der Rotordynamik: Theorie, Messungen und optimierte Auslegung. Disser- tation. Düsseldorf: VDI-Verl., 2005.
  8.  M. Orth and R. Nordmann, “ANEAS: A Modeling Tool for Nonlinear Analysis of Active Magnetic Bearing Systems,” IFAC Proceedings Volumes, vol. 35, no. 2, pp. 811–816, 2002, doi: 10.1016/S1474-6670(17)34039-9.
  9.  V.L. Popov, Contact Mechanics and Friction: Physical Principles and Applications. Berlin, Heidelberg: Springer, 2017.
  10.  E.P. Gargiulo Jr., “A simple way to estimate bearing stiffness,” Machine Design, vol. 52, no. 17, pp. 107–110, 1980.
  11.  K.H. Hunt and F.R.E. Crossley, “Coefficient of Restitution Interpreted as Damping in Vibroimpact,” J. Appl. Mech., vol. 42, no. 2, p. 440, 1975, doi: 10.1115/1.3423596.
  12.  M.C. Marinack, R.E. Musgrave, and C.F. Higgs, “Experimental Investigations on the Coefficient of Restitution of Single Particles,” Tribol. Trans., vol. 56, no. 4, pp. 572–580, 2013, doi: 10.1080/10402004.2012.748233.
  13.  R.J. Mainstone, “Properties of materials at high rates of straining or loading,” Mat. Constr., vol. 8, no. 2, pp. 102–116, 1975, doi: 10.1007/ BF02476328.
  14.  H. Wittel, D. Muhs, D. Jannasch, and J. Voßiek, “Wälzlager und Wälzlagerungen,” in Roloff/Matek Maschinenelemente, H. Wittel, D. Muhs, D. Jannasch, and J. Voßiek, Eds., Wiesbaden: Vieweg+Teubner Verlag, 2009, pp. 475–525.
  15.  J. M. Gouws, “Investigation into backup bearing life using delevitation severity indicators,” North-West University, Potchefstroom, South Africa, 2016.
  16.  G. Sun, “Auxiliary Bearing Life Prediction Using Hertzian Contact Bearing Model,” J. Appl. Mech., vol. 128, no. 2, p.  203, 2006, doi: 10.1115/1.2159036.
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Authors and Affiliations

Benedikt Schüßler
1
ORCID: ORCID
Timo Hopf
1
ORCID: ORCID
Stephan Rinderknecht
1
ORCID: ORCID

  1. Technical University of Darmstadt, Institute for Mechatronic Systems, Germany
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Abstract

In this study, a multi-pad bump-type foil thrust bearing with a taper-land height profile is investigated. A detailed thermo-elastohydrodynamic (TEHD) finite element (FE) model is used comprising all bearing pads instead of only a single pad. Although the single-pad reduction approach is commonly applied, it can not accurately account for the different temperatures, loads, and power losses for individual pads in the case of misalignment. The model accounts for the deformations of the foils on each pad via a Reissner-Mindlin-type shell model. Deformations of the rotor are calculated via the Navier-Lamé equations with thermoelastic stresses and centrifugal effects. The temperature of the top foil and the rotor are calculated with the use of heat diffusion equations. The temperature of each lubricating air film is obtained through a 3D energy equation. Film pressures are calculated with the 2D compressible Reynolds equation. Moreover, the surrounding of the bearing and runner disk is part of the thermodynamic model. Results indicate that the thermal bending of the runner disk as well as top foil sagging are key factors in performance reduction. Due to the bump-type understructure, the top foil sagging effect is observed in simulation results. The study at hand showcases the influence of misalignment between the rotor and the bearing on the bearing performance.
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Authors and Affiliations

Markus Eickhoff
1
ORCID: ORCID
Johannis Triebwasser
1
Bernhard Schweizer
1

  1. Institute of Applied Dynamics, Technical University of Darmstadt, Germany
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Abstract

A gyroscopic rotor exposed to unbalance is studied and controlled with an active piezoelectrical bearing. A model is required in order to design a suited controller. Due to the lack of related publications utilizing piezoelectrical bearings and obtaining a modal model purely exploiting experimental modal analysis, this paper reveals a method to receive a modal model of a gyroscopic rotor system with an active piezoelectrical bearing. The properties of the retrieved model are then incorporated into the design of an originally model-free control approach for unbalance vibration elimination, which consists of a simple feedback control and an adaptive feedforward control. After the discussion on the limitations of the model-free control, a modified controller using the priorly identified modal model is implemented on an elementary rotor test-rig comparing its performance to the original model-free controller.
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Bibliography

  1.  A.B. Palazzolo, R.R. Lin, R.M. Alexander, A.F. Kascak, and J. Montague, “Test and theory for piezoelectric actuator-active vibration control of rotating machinery,” J. Vib. Acoust., vol.  113, no. 2, 1991. doi: 10.1115/1.2930165.
  2.  R. Köhler, C. Kaletsch, M. Marszolek, and S. Rinderknecht, “Active vibration damping of engine rotor considering piezo electric self heating effects,” in International Symposium on Air Breathing Engines 2011 (ISABE 2011), Gothenburg, Sep. 2011.
  3.  M. Borsdorf, R.S. Schittenhelm, and S. Rinderknecht, “Vibration reduction of a turbofan engine high pressure rotor with piezoelectric stack actuators,” in Proceedings of the International Symposium on Air Breathing Engines 2013 (ISABE 2013), Busan, 2013.
  4.  R.C. Simões, V. Steffen, J. Der Hagopian, and J. Mahfoud, “Modal active vibration control of a rotor using piezoelectric stack actuators,” Vib. Control, vol. 13, no. 1, pp. 45–64, Jan. 2007. doi: 10.1177/1077546306070227.
  5.  B. Riemann, M.A. Sehr, R.S. Schittenhelm, and S. Rinderknecht, “Robust control of flexible high-speed rotors via mixed uncertainties,” in 2013 European Control Conference (ECC). Zürich: IEEE, Jul. 2013, pp. 2343–2350. doi: 10.23919/ ECC.2013.6669786.
  6.  F.B. Becker, M.A. Sehr, and S. Rinderknecht, “Vibration isolation for parameter-varying rotor systems using piezoelectric actuators and gain-scheduled control,” J. Intell. Mater. Syst. Struct., vol. 28, no. 16, pp. 2286–2297, Sep. 2017. doi: 10.1177/1045389X17689933.
  7.  M. Li, T.C. Lim, and W.S. Shepard, “Modeling active vibration control of a geared rotor system,” Smart Mater. Struct., vol.  13, no. 3, pp. 449–458, Jun. 2004. doi: 10.1088/0964- 1726/13/3/001.
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Authors and Affiliations

Jens Jungblut
1
ORCID: ORCID
Christian Fischer
1
ORCID: ORCID
Stephan Rinderknecht
1
ORCID: ORCID

  1. Institute for Mechatronic Systems, Technical University Darmstadt, 64287, Germany
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Abstract

The problems of mathematical modelling of vibration signal for bearings with specific geometrical structure or defect is important insofar as there are no model bearings (to facilitate carrying out a calibration procedure for industrial measurement systems). It is even more so that there are no precise reference systems to which we would compare the results. This article presents a general outline of the most important studies on modelling of vibrations in rolling bearings. Papers constituting the basis for the most recent studies and a review of articles from the past few years have been considered here. Five different models have been analyzed in detail in order to show the directions of the latest studies. Completed analysis presents different viewpoints on the issue of modelling a rolling bearing operation. This overview article makes it possible to derive the final conclusion that in order to include all factors affecting bearing vibrations, even those ignored in the most recent models, it is necessary to carry out practical statistical research including the principles of multicriteria statistics. This approach will facilitate developing a versatile model, also applicable to predicting vibrations of a new bearing just manufactured in a factory.

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Authors and Affiliations

M. Wrzochal
S. Adamczak
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Abstract

Polar snow and its accumulation preserve valuable information derived from the atmosphere on past climate and environmental changes in high resolution, particularly in coastal sites. A 2.5-m snow-pit was excavated from the coastal ice rise (Moore Dome) near Amundsen Sea region in February 2012. This study evaluated the isotopic and chemical compositions in the snow-pit and compared them with meteorological variables. Based on the seasonal peaks of the MSA and nssSO42– together with 18O, D, and d-excess, the snow-pit record was corresponded to accumulation during austral winter 2011 to summer 2011/2012. The annual mean accumulation rate was assumed thus to be as large as or even higher than 1.03 m w.e. yr–1 at this site. A relatively warm winter temperature in 2011 was traceable in the variations of 18O, D, and d-excess. This study emphasizes the importance of the high snow accumulation observed at this site in providing valuable information on sub-annual variations in climate and environmental changes through the study of longer ice cores.
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Authors and Affiliations

Sang-Bum Hong
1
ORCID: ORCID
Yalalt Nyamgerel
2
ORCID: ORCID
Won Sang Lee
1
ORCID: ORCID
Jeonghoon Lee
2
ORCID: ORCID

  1. Division of Glacial Environment Research, Korea Polar Research Institute, 26, Songdomirae-ro, Yeonsu-gu, Incheon 21990, Korea
  2. Department of Science Education, Ewha Womans University, 52, Ewhayeodae-gil, Seodaemun-gu, Seoul 120-750, Korea
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Abstract

The present elaboration gives the results of investigations carried out by the VLF method in September. 1980. in Fuglebersletta, in the Hornsund Fiord area, Spitsbergen. The aim of the investigations was to localize precisely the ore-bearing veins and to trace their course.

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Authors and Affiliations

Janusz Antoniuk
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Abstract

Journal bearings are the most common type of bearings in which a shaft freely rotates in a metallic sleeve. They find a lot of applications in industry, especially where extremely high loads are involved. Proper analysis of the various bearing faults and predicting the modes of failure beforehand are essential to increase the working life of the bearing. In the current study, the vibration data of a journal bearing in the healthy condition and in five different fault conditions are collected. A feature extraction method is employed to classify the different fault conditions. Automatic fault classification is performed using artificial neural networks (ANN). As the probability of a correct prediction goes down for a higher number of faults in ANN, the method is made more robust by incorporating deep neural networks (DNN) with the help of autoencoders. Training was done using the scaled conjugate gradient algorithm and the performance was calculated by the cross entropy method. Due to the increased number of hidden layers in DNN, it is possible to achieve a high efficiency of 100% with the feature extraction method.

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Authors and Affiliations

T. Narendiranath Babu
Arun Aravind
Abhishek Rakesh
Mohamed Jahzan
D. Rama Prabha
Mangalaraja Ramalinga Viswanathan
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Abstract

Minimum Entropy Deconvolution (MED) has been recently introduced to the machine condition monitoring field to enhance fault detection in rolling element bearings and gears. MED proved to be an excellent aid to the extraction of these impulses and diagnosing their origin, i.e. the defective component of the bearing. In this paper, MED is revisited and re-introduced with further insights into its application to fault detection and diagnosis in rolling element bearings. The MED parameter selection as well as its combination with pre-whitening is discussed. Two main cases are presented to illustrate the benefits of the MED technique. The first one was taken from a fan bladed test rig. The second case was taken from a wind turbine with an inner race fault. The usage of the MED technique has shown a strong enhancement for both fault detection and diagnosis. The paper contributes to the knowledge of fault detection of rolling element bearings through providing an insight into the usage of MED in rolling element bearings diagnostic. This provides a guide for the user to select optimum parameters for the MED filter and illustrates these on new interesting cases both from a lab environment and an actual case.

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Authors and Affiliations

Tomasz Barszcz
Nader Sawalhi
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Abstract

AISI 52100 bearing steels are commonly used in applications requiring high hardness and abrasion resistance. The bearing steels are

working under dynamic loads in service conditions and their toughness properties become important. In order to provide the desired

mechanical properties, various heat treatments (austenizing, quenching and tempering) are usually applied. In this study, AISI 52100

bearing steel samples were austenized at 900°C for ½ h and water quenched to room temperature. Then tempering was carried out at

795°C, 400°C and 200°C for ½ h. In order to investigate the effect of heat treatment conditions on wear behavior, dry friction tests were

performed according to ASTM G99-05 Standard with a ‘ball-on-disk’ type tribometer. The samples were tested against steel and ceramic

counterparts using the parameters of 100 m distance and 30 N load and 0.063 m/s rotational speed. After wear test, the surface

characterization was carried out using microscopy. Wear loss values were calculated using a novel optical method on both flat and

counterpart specimens.

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Authors and Affiliations

E. Türedi
M. Yilmaz
V. Senol
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Abstract

Additional motor vibrations are the result of a faulty bearing. They are reflected in the harmonic content of stator currents. The object of the investigation presented in the paper are measurements related to diagnostics of induction motors, especially damages caused to bearings. Due to the fact that the amplitude of the network voltage basic harmonic in the current spectrum is high in comparison with components responsible for damages of bearings, preliminary elimination of this component from the analog current signal has been proposed.

The problem with interpretation of diagnostic measurements in present systems is the difference between measurement results of characteristic frequencies and theoretical calculations.

In the proposed measurement system this problem was solved in such a way that the value of the angular speed and of the supply frequency is calculated on the basis of appropriate components in the very same current spectrum that is further used in the search for diagnostic components.

The paper presents also the measuring system and provides results of the investigations carried out on a motor encumbered with a specially prepared defect.

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Authors and Affiliations

Leon Swędrowski
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Abstract

The paper presents the method of probabilistic optimisation of load bearing capacity and reliability of statically indeterminate bar structures, and of coupling of members in kinematically admissible failure mechanisms (KAFM), which contain minimal critical sets of elements (MCSE). The latter are characterised by the fact that if only a single element is operational, the whole set is operational too. A method of increasing load bearing capacity and reliability of KAFM built from bars dimensioned in accordance with the code is presented. The paper also shows estimation of load bearing capacity and reliability of KAFM of the optimised structures containing elastic-plastic bars with quasi-brittle connections with nodes. The necessity of increasing connection of load bearing capacity and reliability in relation to bar reliability in order to prevent bars from being excluded from MCSE due to connection fracture is estimated.

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Authors and Affiliations

Z. Kowal

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