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Because the main shaft system of the carpet tufting machine is composed of several slender shafts and several groups of linkage mechanisms, the easy deformation characteristics of the slender shaft and the eccentricity of the linkage mechanism are coupled together, which makes this shaft system work at high speed. Dynamic imbalance and vibration become serious, which limits the high speed of the spindle system. Therefore, studying the unbalanced response of the main shaft system of the carpet tufting machine and designing a spindle system with good dynamic balance is of great significance to the high-speed of the carpet tufting machine. At present, the dynamic balance design of the main shaft system of the carpet tufting machine is mainly concentrated in foreign companies, such as Card-Monroe Corp, Cobble, etc. The main methods can be summarized as follows: The structural form of changing the slave shaft to the multi-segment short slave shaft flashes; (2) Add a sub-spindle to the main shaft system of the (1) technical solution, and make the rotation direction of the adjacent short slave shafts be opposite to the old one; (3) By analyzing the influence mechanism of the dynamic unbalance of the main shaft system, the combined transmission of the belt wheel and the reversing wheel is used to replace the linkage mechanism, and the overall length of the slave shaft is changed to the form of multiple short slave shafts to make the rotation direction of the adjacent short slave shafts. On the contrary ⑷. It can be seen that by changing the structure and configuration of the main shaft system of the carpet tufting machine, and then changing the load mode of the main shaft, the main shaft system can have a good dynamic balance effect, but the structural design is more complicated)

The engine crankshaft system is similar to the carpet tufting machine in terms of structure and unbalanced working conditions, and the balance shaft technology has been better applied in solving the dynamic imbalance of the engine crankshaft system. The eccentric balance shaft is designed to improve The imbalance of the handle slider mechanism in the crankshaft system due to its own inertial force makes the crankshaft system achieve a better dynamic balance effect when it runs at high speed. Synthesize the above-mentioned literature research and the general carpet tufting machine spindle

The structural design analysis of the system, this paper applies the balance shaft technology to the design of the main shaft system of the carpet tufting machine under the principle of minimizing structural changes, and proposes a new type of main shaft system structure. Then use the transfer matrix method to establish the mathematical model of the main shaft system, and analyze the dynamic balance performance of the main shaft system of the carpet tufting machine by using Matlab software to simulate and calculate the unbalance and vibration response.

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