By Hung Nguyen-Schäfer
This ebook comprehensively provides the computational layout of rolling bearings facing many interdisciplinary tricky operating fields. They surround elastohydrodynamics (EHD), Hertzian touch concept, oil-film thickness in elastohydrodynamic lubrication (EHL), bearing dynamics, tribology of floor textures, fatigue failure mechanisms, fatigue lifetimes of rolling bearings and lubricating greases, Weibull distribution, rotor balancing, and airborne noises (NVH) within the rolling bearings. moreover, the readers are supplied with hands-on crucial formulation in line with the updated DIN ISO norms and precious examples for computational layout of rolling bearings.
The subject matters are meant for undergraduate and graduate scholars in mechanical and fabric engineering, examine scientists, and training engineers who are looking to comprehend the interactions among those operating fields and to understand how one can layout the rolling bearings for car and lots of different industries.
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Additional info for Computational Design of Rolling Bearings
Bra¨ndlein, Eschmann, Hasbargen, and Weigand: Die Wa¨lzlagerpraxis (in German), 3. Auflage, Vereinigte Fachverlage GmbH (2009). 4. : Applied Tribology: Bearing Design and Lubrication, 2nd edn. Wiley, New York (2008) 5. DIN-Taschenbuch 24: Wa¨lzlager 1 (in German), Neunte Auflage, Verlag Beuth (2012). 6. : Grease Lubrication in Rolling Bearings (Tribology Series). 1 Design Rule of Rolling Bearings To design bearings for rotating machines, such as electric machines, turbochargers, and aircraft turbojets, the following development steps should be carried out: Step 1: Determining the Radial and Thrust Loads Acting Upon Gears or Pulleys Gears and pulleys are the transmitting elements between the rotating machine and driving axis.
1 to 1 at ε ¼ 0, as shown in Fig. 12. The following MATLAB program used with the program Simpson_JrJa in Appendix C plots the computational results that are shown in Figs. 13. 8 Load Distribution on Balls Under Combined Loads 43 Fig. 1 0 -1 10 0 10 Parameter ε Fig. 1 0 -1 10 0 1 10 Parameter ε 10 Fig. 8 Fig. 8 Load Distribution on Balls Under Combined Loads %======================================================== % MATLAB Plots of Jr, Ja, Fr*tan(alpha)/Fa %======================================================== figure(1) % s.
4 Curvatures of Bearings 15 Substituting Eqs. 21a into Eq. 22, the curvature difference of the roller and inner raceway results as À 1 Á 2 2 Dw AÀ1 Fr=IR ðρÞ ¼ þ À A Á¼1 Dw D2w AÀ1 ð1:24aÞ Similarly, substituting Eqs. 21b into Eq. 2, where the parameter A is defined in Eq. 527, and α ¼ 10 . The factor A for the ball bearing is calculated using Eq. 20 as A¼ Dpw 44:6 ¼ % 4:388 Dw cos α 10:32 Â cos 10 Using Eqs. 5 Bearing Speeds The speed number of bearings is defined as A ¼ N Á Dpw ð1:25Þ where N is the rotor speed in rpm and Dpw is the pitch diameter in mm and A in mm/min.