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.
- Design Engineering Division and Computers and Information in Engineering Division
Modal Spectral Element for the Transverse Vibrations of Axially Moving Wide-Band Strips
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Lee, U, & Kim, J. "Modal Spectral Element for the Transverse Vibrations of Axially Moving Wide-Band Strips." Proceedings of the ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 22nd Computers and Information in Engineering Conference. Montreal, Quebec, Canada. September 29–October 2, 2002. pp. 501-508. ASME. https://doi.org/10.1115/DETC2002/CIE-34469
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