Abstract
A very long elastic beam, which is a general model of a long optical fiber, inserted into a long spatially curved tube by means of vibration is investigated. Analytical models and equations are established for the forced transversal movement, the axial movement and the flying motion of the continuous wave beam. A kind of recurrence strategy is successfully developed for the forced transversal vibration problem of a very long beam floating on a vibrating surface. The detailed motion behavior of the whole response, called the "subperiodic motion", and the phenomena of changing tension force and different wavelengths are revealed through numerical solutions. Fundamental effects of some basic parameters on the motions of the system are discussed. Appropriate ranges for both the frequency and the amplitude of vibration are discovered to be very narrow. The reasons for the troublesome "stopping-up" phenomenon are clarified. Experimental studies confirmed the theoretical analyses presented.
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