Nonlinear Transversal Vibration Analysis of an Axially Moving Viscoelastic Yarn in Tufting Process |
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| Authors: | GAO Xiao-ping, SUN Yi-ze, CHEN Hong-xia |
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| Affiliation: | [1] College of Light Industry and Textile, Inner Mongolia University of Technology, Hohhot 010051, China;College of Mechanical Engineering, Donghua University, Shanghai 201620, China; [2] College of Mechanical Engineering, Donghua University, Shanghai 201620, China; [3] College of Light Industry and Textile, Inner Mongolia University of Technology, Hohhot 010051, China |
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| Abstract: | The nonlinear transversal vibration of axially moving yarn with time-dependent tension is investigated. Yarn material is modeled as Kelvin model. A partial differential equation governing the transversal vibration is derived from the Newton's second law.Galerkin method is used to truncate the governing nonlinear differential equation,and thus the 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 during the tufting process for resonance is obtained. |
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| Keywords: | nonlinear vibration transversal vibration yarn homotopy perturbation method |
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