By Hung Nguyen-Schäfer

This ebook comprehensively provides the computational layout of rolling bearings facing many interdisciplinary tough 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 invaluable examples for computational layout of rolling bearings.

The issues are meant for undergraduate and graduate scholars in mechanical and fabric engineering, study scientists, and training engineers who are looking to comprehend the interactions among those operating fields and to understand the way to layout the rolling bearings for car and plenty of different industries.

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Additional resources for Computational Design of Rolling Bearings

Example text

11, the nominal contact angle results as α0 ¼ cos À1  e 1À 2ρ0  Using Eqs. 20, the normal load P0,a acting upon the ball is calculated as P0, a ¼ Cδ δ3=2 ; Dw1=2 Cδ ¼ ðCδ, i þ Cδ, o Þ3=2 ð2:37Þ Substituting Eq. 36 into Eq. 3=2 qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ cos 2 α0 þ ð sin α0 þ ρa Þ2 À 1 ð2:38Þ The operating contact angle of the bearing is calculated using the triangular IMOMI* in Fig. 7 as ρ0 sin α0 þ δa ρ sin α0 þ ρa ¼ qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ cos 2 α0 þ ð sin α0 þ ρa Þ2 sin α ¼ ð2:39Þ Substituting Eqs.

Chap. 8). Therefore, the bearing lifetime is strongly reduced due to the pre-damage of the bearing [2, 3]. The limiting Hertzian pressure of the rolling bearings is given in Chap. 3. Step 5: Computing the Oil-Film Thickness in the Contact Area The minimum oil-film thickness in the bearing depends on the bearing load, rotor speed, oil viscosity, oil temperature, and bearing materials. The minimum oil-film thickness closely relates to the lubrication regime in the bearing. At a very thin oil-film thickness between the balls and raceways, the bearing operating condition occurs in the mixed or boundary lubrication regime in the Stribeck diagram.

Step 2: Computing the Radial and Thrust Loads Acting Upon the Bearings The loads acting upon the bearing result from the radial and thrust loads of the gear or pulley and other loads acting on the rotor, such as unbalance force, UMP forces (unbalanced magnetic pull forces), rotor weight, etc. [1, 2]. Step 3: Checking Reference and Limiting Speeds of the Chosen Bearings The reference and limiting speeds are given in the catalogue of bearing suppliers. If the rotor speed exceeds the reference speed in a long operating time interval, the bearing lifetime is reduced due to increase of oil temperature in the bearing.