EXACT SOLUTIONS FOR A PARTIALLY LIQUID-FILLED ROTOR TO BE EXCITED LATERALLY
部分充液转子受侧向激励的精确解

In this paper, the turbulent forces imposing on a rotor partilly filled with a liquid are discussed when the rotor is subjected to lateral excitation. First, we verify that the turbulent flow is irrotational in the rotating coordinate system fixed with the rotor and then the whole flow is resolved into the stable flow with constant vorticity and the irrotational turbulent flow in analysis. The explicit expressions of free surface and resultant forces imposing on the rotor are obtained. It is known that there are two critical frequencies for a given fill ratio.