Spectral Element Formulation for the Axially Moving Plates Subjected to In-plane Tension

초록

The use of frequency-dependent dynamic stiffness matrix (or spectral element matrix) in structural dy-namics may provide very accurate solutions, while it reduces the number of degrees-of-freedom to im-prove the computational efficiency and cost problems. Thus, this paper develops a spectral element model for the thin plates moving with constant speed under uniform in-plane tension. The concept of Kan-torovich method is used in the frequency-domain to formulate the dynamic stiffness matrix. The present spectral element model is evaluated by comparing its solutions with the exact analytical solutions. The effects of moving speed and in-plane tension on the flexural wave dispersion characteristics and natural frequencies of the plate are numerically investigated.