The lateral vibrations of winding tapes are investigated by using a second order linear model, where lateral indicates the direction parallel to the reel rotation axis. A boundary condition describing the winding of tapes on the reel considering a perfect reel-tape adhesion is applied. This condition imposes zero lateral velocity of the string as measured by a fixed observer and has a significant damping effect on the lateral vibrations. Both natural and forced vibrations are investigated. A boundary excitation is assumed in the forced vibration analysis. Numerical results show the effect of the parameters on the system dynamics. The present model is applicable to a class of tapes travelling in manufacturing machines. [S0739-3717(00)00901-6]
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Garziera et al. (1999) studied this question.
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