Identification of Tension Distribution of Thin Plate Using Vibration Characteristics

Abstract

A high-accuracy measurement technique for plate tension distribution on the process line would potentially lead to improved steel, aluminum and copper plate qualities. We propose an identification method by using natural frequencies and vibration modes, which are related to tension distributions of thin plate. In this paper, a new tension identification method in a thin plate using characteristics of vibration is investigated. We develop a simplified dynamic model of thin plate, and tension distribution is modeled by springs. A simplified model spring constants are obtained by the least-squares method to minimize the difference between a simplified model modal parameters and the given values. We apply the proposed identification method to a thin aluminum plate based on FEM analysis results. As a result, it is shown that identified tension distributions well corresponded to the FEM results.