
Aeronautical and Space-Rocket Engineering
Аuthors
1*, 1**, 2***, 1****, 2*****1. Samara State Technical University,
2. “Kuznetsov”, 29, Zavodskoye shosse, Samara, 443009, Russia
*e-mail: adigorev@gmail.com
**e-mail: jklebanov@mail.ru
***e-mail: aa.sokolov@uec-kuznetsov.ru
****e-mail: garry_c@rambler.ru
*****e-mail: ag.petruhin@uec-kuznetsov.ru
Abstract
This article deals with the issues of analysis and optimization of multi-point ball bearing designs operating under high speeds, significant combined axial, radial, and moment loads, elevated temperatures, and other extreme external conditions typical for aerospace engines. Despite considerable operational advantages of these bearings, there is quite limited number of studies associated with their geometry improving and optimal loading conditions determining.
The presented work employs two computational models, namely a multi-mass dynamic model with account for the hydrodynamic friction and a quasi-static one based on the d'Alembert’s principle and accounts for contact deformations. The dynamic model enables detailed study of the bearing operational characteristics, while the quasi-static model facilitates rapid analysis of numerous computational cases. Both approaches are being applied for determining the number of contact points between the balls and raceways, as well as assessing the margin of the balls exiting on the rib. Besides, the dynamic analysis allows assessing the probability of the seizure and smoothness of bearing operation. Its results are being used while the cage multi-cycle fatigue strength computing.
These studies were conducted for the two design options of the type 126130 bearing employed in the intermediate support of the NK-36ST gas turbine engine. The authors considered various combinations of the internal geometry parameters, including the radial internal clearance and the misalignment angle of the bearing rings.
The esteems of the of contact points number by various models matched almost in all cases. The primary cause of three-point contact is the bearing rings misalignment. Regardless of other parameters, at the misalignment angles less than five arcminutes, only two-point contact originates; the three-point contact is being observed for misalignment angles greater than five arcminutes. At the misalignment angle of five arcminutes, either two-point or three-point contact may be the case.
Misalignment of the bearing rings exerts critical impact on the margin against ball escape over the bearing edge, with a misalignment of 12 arc minutes being particularly hazardous.
The cage strength is one of the primary factors affecting operational characteristics of the high-speed rolling bearings. The laws governing variation of the forces and accelerations acting on the cage were being determined by the dynamic analysis results. The dynamic stress fields’ evolution within the cage was being computed by these results, and its fatigue life under multi-cyclic loading was assessed.
Optimal internal geometry parameters were selected for each option of the design, and their performance characteristics were analyzed under typical operational conditions. The results revealed that the option with a larger ball diameter and fewer balls exhibits better operational performance. For further design improvement, recommendations were issued regarding the key internal geometry parameters, including the raceway profiles radii, radial clearance, inner raceway profile offset, cage float clearance and thickness.
Keywords:
multi-point contact bearing, ball escape onto the shoulder, ball and cage dynamics, bearing ring misalignment, operating radial clearance, cage fatigue endurance, internal geometry parametersReferences
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