Abstract

The dynamics model of cylindrical roller bearing (CRB) in aeroengine main shaft was promoted and solved by Hilber–Hughes–Taylor (HHT) integer algorithm with variable step in combination with symmetric multiprocessing (SMP) parallel solving technology, and a finite element model of roller to cage contact was built. The dynamic characteristics of CRB at the stage of start-up and stop were analyzed firstly, and then, the collision forces between rollers and cage were used as the boundary conditions of the finite element model to discuss the influences of working conditions, structural parameters, and materials on the stress distribution and safety characteristic of cage at the stage of start-up and stop. The findings will provide the theoretical basis for the designing of CRB in aeroengine main shaft.

Highlights

  • Tijm qijmSubscript {i, o} represent inner raceway and outer raceway, respectively; Nij, Noj are the normal force between the jth roller and raceways; Tij, Toj are the oil drag force between the jth roller and raceways; MiNj, MoNj are the additional moment due to Nij and Noj; MiTj, MoTj are the additional moment due to Tij and Toj; Qcj, Fcj are the normal force and tangential friction force between the jth roller and cage’s cross beam; Mcj is the additional moment due to Fcj; Frj is the centrifugal force of the jth roller; qijm, qojm are the collision forces between the mth slice and raceways; Tijm, Tojm are the oil drag forces between the mth slice and raceways; Qcjm, Fcjm are the normal force and tangential friction force between the mth slice and cage’s cross beam. e detailed expresses of symbols in Figure 2 refer to [26]

  • Introduction e failures ofcylindrical roller bearing (CRB) in aeroengine main shaft happen more frequently at the stage of start-up and stop, due to a sudden change in rotating speed and load

  • Fatigue failure of cage always emerges at the connection of crossbeam and side beam, which coincides with the same findings in [13]. erefore, this study focuses on von Mises stress at the connection of crossbeam and side beam. e safety factor Fs of fatigue failure is used to evaluate the safety

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Summary

Tijm qijm

Subscript {i, o} represent inner raceway and outer raceway, respectively; Nij, Noj are the normal force between the jth roller and raceways; Tij, Toj are the oil drag force between the jth roller and raceways; MiNj, MoNj are the additional moment due to Nij and Noj; MiTj, MoTj are the additional moment due to Tij and Toj; Qcj, Fcj are the normal force and tangential friction force between the jth roller and cage’s cross beam; Mcj is the additional moment due to Fcj; Frj is the centrifugal force of the jth roller; qijm, qojm are the collision forces between the mth slice and raceways; Tijm, Tojm are the oil drag forces between the mth slice and raceways; Qcjm, Fcjm are the normal force and tangential friction force between the mth slice and cage’s cross beam. e detailed expresses of symbols in Figure 2 refer to [26]. Nonlinear dynamics differential equations of the jth roller are shown as follows:. When CRB is working, cage is simultaneously acted by collision force of rollers, guiding force of outer ring and combined resistance of oil/air mixture to cage’s surfaces. Nonlinear dynamics differential equations of cage are shown as follows:. In (4), mc is cage mass; Gc is cage gravity; y€c, z€c are displacement accelerations of cage’s mass center in {O; X, Y, Z}; Jcx, Jcy, Jcz are moments of inertia of cage in {O; X, Y, Z}; ω_ cx, ω_ cy, ω_ cz are angular accelerations of cage in {O; X, Y, Z}; RN is the number of rollers

Qcj z
Acceleration Deceleration
Conclusions
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