Two-to-one parametric resonance in transverse vibration of an axially accelerating viscoelastic string with geometric nonlinearity is investigated. The transport speed is assumed to be a constant mean speed with small harmonic variations. The nonlinear partial differential equation that governs transverse vibration of the string is derived from Newton’s second law. The method of multiple scales...

Abstract. If a fluid enters an axially rotating pipe, it receives a tangential component of velocity from the moving wall, and the flow pattern change according to the rotational speed. A flow relaminarization is set up by an increase in the rotational speed of the pipe. It will be shown that the tangentialand the axial velocity distribution adopt a quite universal shape in the case of fully de...

Eyelets, capstans and cylindrical surfaces are often used in thread, fiber and paper handling machinery to guide the axially moving element. In addition to providing positional control, these “guides” introduce dry friction forces that alter the vibration and stability characteristics of the system. This paper examines the lateral response of a string that slides through an elastically supporte...