Spectral Element Model for the Vibration of an Axially Moving Timoshenko Beam

초록

The use of frequency-dependent spectral element matrix (or exact dynamic stiffness matrix) in struc-tural dynamics is known to provide very accurate solutions, while reducing the number of degrees-of-freedom to resolve the computational and cost prob-lems. Thus, in the present paper, the spectral element model is formulated for the axially moving Ti-moshenko beam under a uniform axial tension. The high accuracy of the present spectral element is then verified by comparing its solutions with the conven-tional finite element solutions and exact analytical solutions. The effects of the moving speed and axial tension on the vibration characteristics, the disper-sion relation, and the stability of a moving Timo- shenko beam are analytically and numerically inves-tigated.