A Parameter Study of Leakage-Flow-Induced Vibrations

The stability of thin plate able to execute translational or rotational vibration in a one dimensional narrow passage is studied, and critical flow rates are obtained theoretically. The effect of pivot point of rotational system is considered. In the case of single-degree-of-freedom rotational system, the pivot position greatly influences stability. Instability can occur when the passage is divergent in the case of translational vibration. When the pivot of rotational vibration is at the entrance of the passage, the region of negative fluid-dynamic damping can become very small, and flutter can hardly occur. When the pivot is at the slightly behind the center of the passage, the instability region can become large, and even if the passage shape is convergent, instability can occur.