Three-dimensional weaving capability parametric analysis based on vibration characteristics of variable length cantilever beam

The aim of this study is to parametrically analyze the vibration characteristics of weaving needles during the feeding motion, providing effective references for the selection of parameters in the three-dimensional weaving process. To control the degree of carbon fiber wear during the manufacturing process and maximize its maximum forming height, we have established a systematic dynamic model based on Hamilton's principle. The state equation was solved using the Runge-Kutta method. The influence of different weaving parameters on the weaving needle‘s free-end vibration response and equilibrium position of was studied. The results indicate that the weaving velocity and height of the cross-section have a significant impact on the vibration amplitude of the free end of the weaving needle and the deflection of the equilibrium position. Moreover, the increase in deflection exhibits a certain inhibitory effect on the amplitude.