Impacts of a 90 degree twist on lateral web dynamics

Abstract

Twists are sometimes used to turn or provide passive lateral control for narrow webs in those cases where space for a sufficient twist span length (to avoid a wrinkle) is achievable. This paper uses the finite element method to study the lateral dynamics of a web downstream of a 90 degree twist in response to an upstream lateral disturbance. A designed experiment of 46 different finite element runs was used to study the interactions among different material, geometry, and input variables. Specifically, the frequency response for downstream cross-direction position was modeled as a function of the disturbance frequency, disturbance amplitude, span length, wrap angle and material stiffness. Nominal strain was held constant. A composite Gaussian process model was fit to the resulting data to facilitate a deeper and more holistic interpretation. Excellent attenuation of the disturbance amplitude and interesting interactions with the applied frequency and twist span length were shown.