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1 International Journal of Applied Mechanics and Engineering

1 2007

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Nonlinear dynamic analysis of a rotor bearing system due to distributed defects using factorial design of experiments

Harsha S. P., Nataraj C.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 2

379-399

This paper focuses on accurate performance prediction which is essential to the design of high performance rotor bearing system. It considers distributed defects such as internal radial clearance and surface waviness of the bearing components. In the analytical formulation the contacts between the rolling elements and the races are considered as nonlinear springs, whose stiffnesses are obtained by using Hertzian elastic contact deformation theory. The governing differenlial equations of motion are obtained by using Lagrange's equations. In terms of the feature that the nonlinear bearing forces act on the system, a reduction method and corresponding integration technique is used to increase the numerical stability and decrease computer time for system analysis. Poincare maps are used to elucidate and to iIIustrate the diversity of the system behavior. For investigating the nonlinear behavior of a rotor bearing system, effects of distributed defects are considered simultaneously. lt is shown that the system dynamic behavior is sensitive to small variations of distributed defects.