《Table 3 Spindle system equivalent parameters》

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《High Speed of Tufting Machine Based on Transfer Matrix Method》

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The spindle system is simplified into a lumped parameter model.In the simplification of the spindle system，an equivalent model is required for each module of the tufting machine spindle system and then spliced together to form a simplified overall model.According to the principle of kinetic energy equality and center of mass theorem，the crank and rod mechanism is simplified into two equivalent discs and elastic fixing.They are respectively assigned to the main shaft and the slave shaft.The hook linkage mechanism simplifies it into a single degree of freedom equivalent wheel，and the spindle and slave shaft are simplified into a number of concentrated mass points and massless shaft segments.The rocker slider mechanism is a single degree of freedom equivalent disc according to the principle of equal kinetic energy and the principle of center of mass theorem.In addition，the pulley equates it into an equivalent disc，which is simplified by the bearing into an elastic support.Therefore，the lumped parameter model of the spindle system of tufting machine is shown in Fig.5，and the simplified parameters are shown in Table 3.