部分充液转子受侧向激励的精确解

本文讨论当部分充液转子受到侧向激励时,作用在转子上的扰动力。首先我们在和转子固连的旋转坐标系中证明了扰动流动是无旋的,然后在分析中把整个流动分解为常涡量的定常流动和无旋的扰动流动。求得了自由面和作用在转子上的合力的显式表达式。可见对于某一给定的充液比,存在两个临界频率。

EXACT SOLUTIONS FOR A PARTIALLY LIQUID-FILLED ROTOR TO BE EXCITED LATERALLY

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.