Asymptotic analysis of the forced vibrations of a one-disc rotor on a non-linear flexible base

作者：Avramov K V^*

来源：Proceedings of the Institution of Mechanical Engineers - Part C: Journal of Mechanical Engineering Science , 2010, 224(C8): 1593-1604.

DOI：10.1243/09544062JMES1929

• one-disc rotor
• non-linear flexible base
• multiple scales method
• modulation equations

Equations of motion for a four-degree-of-freedom dynamical system describing the vibrations of a one-disc elastic rotor taking into account gyroscopic moments on a non-linear flexural base are derived. A new version of the multiple scales method is developed and applied to analyse the non-linear dynamics of such a system for different resonances. The steady motions of the rotor are analysed. From the asymptotic analysis, it is shown that out-of-plane motions of the disc exist in the symmetric rotor.

• 出版日期2010