Forced Oscillations of a Horizontal Continuous Rotor with Geometric Nonlinearity. Combination and Supercombination Resonances and Internal Resonance.

Abstract

Combination and supercombination resonances in a continuous rotating shaft with distributed mass are discussed. The restoring force of the shaft has geometric stiffening nonlinearity due to the extension of the shaft center line. It is considered that a distributed lateral force works. The possibility of their occurrences, the shapes of resonance curves, and internal resonance phenomena are investigated.