Roller-bearing energy model experimental verification for aircraft engines supporting nodes modeling. Part 1. Roller-bearing loading by radial force and lateral moment on the special test bench, preventing the rings bending

Dynamics, strength of machines, instruments and equipment


Sorokin F. D.1*, Zhang H. 1**, Popov V. V.1***, Ivannikov V. V.2****

1. Bauman Moscow State Technical University, MSTU, 5, bldg. 1, 2-nd Baumanskaya str., Moscow, 105005, Russia
2. Scientific and technical centre of rotor dynamic «Alfa-Tranzit», 1, Leningradskaya str., Khimky, Moscow region, 141400, Russia



A wide range of scientific contributions discloses various aspects of roller-bearings parts behavior and interaction [1-15]. De Mul [9] developed relatively simple but at the same time quite efficient model where each rolling element was discretized with a set of thin slices and the nonlinear static equations were constructed afterwards. The paper [10] significantly advances the de Mul’s ideas. It revealed that the use of energy conservation approach instead of equilibrium equations derivation was much more convenient. Once the deformation energy of the roller is constructed, the forces acting onto the rolling element (along with the corresponding tangent operators) are easily restored from the potential as the first order (or the second order for the tangent operators case) derivatives.

To verify the energy model of the roller bearing, a full-scale experiment was performed on the universal Zwick/Roell Z100 test machine. Roller bearing of the 12309KM type, fixed in a special device that secured the outer ring, was loaded by a radial force and bend moment through a rigid bar. Deformations of the parts, used for the bearing fastening and loading, were preliminary estimated by calculation using the FEM. The experimental data was processed by the of least squares method to approximate it by analytical relationships. Comparison of the experimental data with the numerical results obtained from the previously developed energy model revealed their good agreement. From the study, we can conclude that the energy model of the roller-bearing is rather accurate.


the roller-bearing energy model, test equipment, least squares method


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