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Optimization of operating conditions for a double-row tapered roller bearing

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Abstract

This paper proposes a methodology that combines the Finite Element Method and multiple response surface optimization to search for the optimal operating conditions of a double-row Tapered Roller Bearing (TRB) that has a Preload (P), radial load (Fr), axial load (Fa) and torque (T). Initially, FE models based on a double-row TRB are built and validated in the basis of experimental data and theoretical models. Three of the most important parameters used in the design of TRB were obtained from a simulation of the FE models with a combination of several operating conditions that were previously selected in accordance with a design of experiments. The design parameters are: contact stress radio for both rows of rollers (S1 and S2), maximum deformation of the outer raceway (αmax), and the difference between the gaps of the inner raceways (Δδ) or misalignment. Based on the results of the FE simulations, quadratic regressions models are generated that use the response surface method to predict the design parameters when new operating condition are applied. Then, a multi-response optimization study based on these models and using desirability functions is conducted. It is concluded that the accuracy of the results demonstrates that this methodology may be used to search for the optimal operating condition in a double-row TRB.

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Abbreviations

\( l_{t} \) :

Rollers’ effective length (mm)

\( d_{m} \) :

Mean diameter of tapered roller (mm)

\( D_{\hbox{max} } \) :

Diameter of tapered roller at large end (mm)

\( D_{\hbox{min} } \) :

Diameter of tapered roller at small end (mm)

\( D_{m} \) :

Bearing pitch diameter (mm)

\( D_{i} \) :

Bore diameter (mm)

\( D_{o} \) :

Outer diameter (mm)

L:

Longitude of the bearing (mm)

Z:

Number of rollers

\( b_{o} \) :

Semi minor axis of the projected contact ellipse (mm)

\( K_{n} \) :

Load deflection factor

\( \sigma \) :

Contact normal stress (MPa)

\( \alpha \) :

Contact angle (°)

\( \alpha_{i} \) :

Inner raceway-roller contact angle (°)

\( \alpha_{o} \) :

Free contact angle (°)

\( \alpha_{R} \) :

Tapered roller included angle (°)

\( \sum {\rho_{o} } \) :

Curvature sum (mm−1)

MAPE:

Mean Absolute Percentage Error

RMSE:

Root Mean Square Error

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Conflict of interests

The authors declare that there is no conflict of interests regarding the publication of this paper.

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Authors and Affiliations

  1. Mechanical Engineering Department, University of La Rioja, Logroño, Spain

    Ruben Lostado

  2. Built Environment and Engineering, Leeds Beckett University, Leeds, UK

    Ruben Escribano García

  3. Electrical Engineering Department, University of Basque Country UPV-EHU, Bilbao, Spain

    Roberto Fernandez Martinez

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  1. Ruben Lostado
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  2. Ruben Escribano García
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  3. Roberto Fernandez Martinez
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Correspondence to Ruben Lostado.

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Lostado, R., Escribano García, R. & Fernandez Martinez, R. Optimization of operating conditions for a double-row tapered roller bearing. Int J Mech Mater Des 12, 353–373 (2016). https://doi.org/10.1007/s10999-015-9311-4

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