Warp is a nonlinear viscoelastic material. The loom efficiency was reduced considerably by the increase of the frequency of weak places in the warp. Warp should vibrate with low-frequency to reduce the friction times....Warp is a nonlinear viscoelastic material. The loom efficiency was reduced considerably by the increase of the frequency of weak places in the warp. Warp should vibrate with low-frequency to reduce the friction times. The objective of this research was to establish the transverse/longitudinal vibration differential equations of warp and analyze the fluctuation process of warp movement by nonlinear method. Based on variable separation method, the time variable was separated from space variable, and the numerical solutions of vibration equations were obtained by the fourth-order Runge-Kutta method. Finally, the influencing factors and variable trends on warp vibration were discussed. The methods on control warp vibration were introduced, which could guide the engineering practice. The most important way to reduce warp vibration is quick adjustment of warp tension.展开更多
基金Natural Science Foundation of Shaanxi Province,China(No. 09JK456)
文摘Warp is a nonlinear viscoelastic material. The loom efficiency was reduced considerably by the increase of the frequency of weak places in the warp. Warp should vibrate with low-frequency to reduce the friction times. The objective of this research was to establish the transverse/longitudinal vibration differential equations of warp and analyze the fluctuation process of warp movement by nonlinear method. Based on variable separation method, the time variable was separated from space variable, and the numerical solutions of vibration equations were obtained by the fourth-order Runge-Kutta method. Finally, the influencing factors and variable trends on warp vibration were discussed. The methods on control warp vibration were introduced, which could guide the engineering practice. The most important way to reduce warp vibration is quick adjustment of warp tension.
