走行するベルトの有限要素固有値解析(機械力学,計測,自動制御)

概要

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Eigenvalue analysis is necessary to determine the stability of an axially moving belt. It is, however, complicated and difficult to calculate eigenvalues and eigenmodes analytically. In this report, a finite element eigenvalue analysis is applied to this problem. The axially moving belt is modeled as a tensioned traveling beam. The equation of motion is discretized to a finite element model using the weighted residual method, and cast in first-order form for eigenvalue analysis. Calculated complex eigenvalues are in good agreement with the exact ones for simply supported belt. Critical transport speed, at which zero eigenvalues exist, can be determined as a point where the determinant of the stiffness matrix becomes zero. Furthermore, the effect of damping, which is proportional to transverse velocity of a belt, is examined, and it shows that this damping has no effect on the critical speed.
2008-01-25