JOURNAL OF TEXTILE RESEARCH ›› 2013, Vol. 34 ›› Issue (12): 37-0.

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Transverse nonlinear-vibration of axially moving yarn strand

  

  • Received:2013-01-04 Revised:2013-08-01 Online:2013-12-15 Published:2013-12-16
  • Contact: GAO Xiao-Ping E-mail:gaoxp@imut.edu.cn

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Abstract: It is essential to develop the dynamic vibration model of yarn strand and its influence during tufting process for controlling vibration amplitude of yarn tension and improve the carpet quality. The three-parameter constitutive relation was used for charactering the viscoelasticity of yarn strand, a partial differential equation governing the transverse vibration was derived from the Newton’s second law, in which geometric nonlinearity and material nonlinearity were all taken into account. The first-order Galerkin method was used for separating time variable from space variable, the nonlinear dynamics for transverse motion of axially moving yarn strand was developed. The effect of transport speed, amplitude of the tension perturbation, and the damping coefficient on the dynamic vibration behavior could be analyzed by applying the fourth order Runge-Kutta method in next paper. Based on above analysis, we can conclude that the main method for decreasing amplitude of vibration and vibration of tension is increasing damping coefficient, for example, increasing friction coefficient of jacquard roller.

Key words: transverse vibration, geometric nonlinearity, constitutive relation, tension fluctuation

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