Dynamic Stability of an Axially Moving Yarn with Time-Dependent Tension

Abstract:

In this paper the nonlinear transversal vibration of axially moving yarn with time-dependent tension is investigated. Yarn material is modeled as Kelvin element. A partial differential equation governing the transversal vibration is derived from Newtons second law. Galerkin method is used to truncate the governing nonlinear differential equation, and thus first-order ordinary differential equation is obtained. The periodic vibration equation and the natural frequency of moving yarn are received by applying homotopy perturbation method. As a result, the condition which should be avoided in the weaving process for resonance is obtained.

• Periodical: Advanced Materials Research (Volume 900)
• Pages: 753-756
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.900.753
• Online since: February 2014
• Authors: You Guo Li
• Keywords: Axially Moving, Driving Mechanism, Dynamic Stability, Time-Dependent Tension

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