Investigation of a rotor- bearing system with bearing clearances and hertz contact by using a harmonic balance method

Cristiano Viana Serra Villa , Jean-Jacques Sinou (1) , Fabrice Thouverez (1)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

This work is about the steady state vibration of a rotor bearing system. The rolling bearings are modeled as two degrees of freedom elements where the kinematics of the rolling elements is considered, so are the internal clearance and the Hertz contact nonlinearity. The steady state solution of the system is achieved by the harmonic balance method, validated by a numerical integration using a three-point-centered finite difference scheme. The number of harmonics employed in the harmonic balance method is examined to find the satisfactory quantity of harmonics that can describe the system dynamics. The contact regimes in the rolling elements are also explored.

Mots clés: rolling bearings; harmonic balance method; bearing clearance; Hertz contact

Domaines: Vibrations [physics.class-ph]; Vibrations [physics.class-ph]; Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]

Cristiano Viana Serra Villa, Jean-Jacques Sinou, Fabrice Thouverez. Investigation of a rotor- bearing system with bearing clearances and hertz contact by using a harmonic balance method. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2007, 29 (1), pp.14-20. ⟨10.1590/S1678-58782007000100003⟩. ⟨hal-00324165⟩