A Linear Model for Bending Dynamics of Externally Forced Thin Steel Plate and Its Application Limit

Abstract

Recently, magnetic levitation systems which suspend thin steel plates are widely discussed for demands on high quality steel production. The noncontact suspension has a possibility for producing nondamaged plates. Steel plates have the continuously distributed structure. Then it is difficult to arrange discrete magnets without an appropriate model of the bending dyanamics. In this paper, the Bernoulli-Euler model of a thin steel plate is proposed. The dynamical characteristics of a steel plate under vibration are discussed based on the model and experimental results. As results, it is clarified that the model has a limit of application to describe the bending behavior of a steel plate. The model may give us the information to decide the arrangement of electric magnets in the levitation system.