Vibration of two axially translating media interconnected by Winkler elastic foundation
Abstract
Transverse vibrations of two translating strings interconnected by a Winkler elastic foundation, and subjected to axial loading are investigated. The natural frequencies are composed of two infinite sets, representing in-phase and out-of-phase vibrations of the two strings. The effects of the axial tension ratios of the two continuous media, as well as the effects of the elastic foundation stiffness are investigated. In general, it is found that the natural frequencies increase with increasing foundation stiffness. Different mass and tension ratios between the stings alter the critical translation speed, in contrast to presence of the elastic foundation.
Citation
Gaith, M., & Muftu, S. (2007, June). Vibration of two axially translating media interconnected by Winkler elastic foundation. Paper presented at the Ninth International Conference on Web Handling (IWEB), Stillwater, OK.