Natural Oscillations of Yarn Balloons in Ring Spinning

Abstract Ring spinning is the most relevant production process for high quality short staple yarn. Recent technological advances using a twisting system involving frictionless superconducting magnetic bearings motivate a renewed interest in the dynamics of the process. A new deduction of the equations of motion for stationary and oscillatory movement is presented using Hamilton’s Principle of Least Action, taking into account axial transport, air drag and boundary conditions at the bearing. By application of Ritz’s method, system matrices are defined to enable the study of natural frequencies and mode shapes. These are validated by comparing to experimental results from literature, and case studies for industrially relevant parameter variations are performed.