Host: The Japan Society of Mechanical Engineers
Name : Dynamics and Design Conference 2022
Date : September 05, 2022 - September 08, 2022
In recent years, air floating systems are used in factories. However, a self-excited vibration occurs when supply flow rate or mass is increased. The self-excited vibration cause loss of safety and productivity. Several studies have been conducted on this issue. However, few researchers consider the elastic deformation of the floating body. Therefore, it is necessary to perform dynamic stability analysis considering the elastic deformation of the floating body. This paper builds an analytical model to investigate levitation characteristics and dynamic stability. The characteristic equations for vibration are derived from the equilibrium between the fluid force acting on the floating body and weight. The results of obtaining the root locus for each vibration mode with increasing flow rate are described. Furthermore, the instability condition of the self-excited vibration when changing the flow rate and mass weight was obtained. Finally, the stability of the system and phase velocity were obtained from the eigenvalues calculated by changing the wave number of the floating body.
