Host: The Japan Society of Mechanical Engineers
Name : Dynamics and Design Conference 2023
Date : August 28, 2023 - August 31, 2023
In recent years, air floating systems are used to transport a steel plate in factories. However, a self-excited vibration occurs under specific conditions, so the plate quality and productivity are lost. Therefore, it is important to confirm the occurrence conditions of self-excited vibration. This paper presents an analysis of the self-excited vibration of an air floating system. Two analytical models which the shapes of the air supply are one slit and multi-hole are constructed respectively. Equation of motion and flow equation are separated into steady equations and unsteady equations by method of perturbation. The Laplace transformation is carried out for transient equations. The characteristic equation is derived from transient equations. In the analysis of one slit model, the region of occurrence of the self-excited vibration is confirmed for changing the value of flow coefficient. In the analysis of multi-hole model, to reduce analysis time keeping the accuracy of analysis, modeling of multi-hole plate is carried out by Darcy-Forchheimer’s law. The analysis of slit model resulted in the occurrence conditions of self-excited vibration more accurate than the previous research. The analysis of multi-hole model resulted that Darcy-Forchheimer’s law can shorten the analysis time with the effective results for design of air floating systems.
