Modal Spectral Element for the Transverse Vibrations of Axially Moving Wide-Band Strips

초록

The use of frequency-dependent spectral element matrix (or dynamic stiffness matrix) in structural dynamics is known to provide very accurate solutions, while reducing the number of degrees-of-freedom to resolve the computational and cost problems. Thus, in the present paper, the modal spectral element is formulated for thin plates moving with constant speed under a uniform in-plane axial tension. The concept of Kantorovich method is used to formulate the modal spectral element matrix in frequency-domain. The present modal spectral element is then evaluated by comparing its solutions with exact analytical solutions and FEM solutions. The effects of the moving speed and the in-plane tension on the dynamic characteristics of a moving plate are numerically investigated.