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In order to verify the dynamic balance effect of a spindle system with a balance shaft

As a result, the unbalanced response needs to be studied. The unbalanced response refers to the vibration generated by the shaft system under high-speed operation. For the unbalanced response, the maximum vibration displacement of the node on the main shaft can be used as the evaluation index. When the spindle system is running at high speed, the mechanism connected to the spindle will generate a dynamic reaction force on the spindle, and it will directly act on the spindle, thereby causing the spindle to produce longitudinal and lateral vibration displacement. Therefore, in order to obtain the maximum lateral and longitudinal vibration displacements of the nodes on the main shaft, it is necessary to calculate the dynamic reaction force on the nodes where the mechanism and the main shaft are connected. According to the design of the actual 4 m width carpet tufting machine, the relevant parameters are set and calculated as follows: the length of the crank & 1 in the needle linkage mechanism is 5.5 mm, the mass is 5.7, and the moment of inertia is 0.003 563kg・m2, connecting rod length is 320 mm, mass is 7.2 kg, moment of inertia is 0. 190 125 kg・m2, rocker & 3 length is 174 mm, mass is 7.2 kg, moment of inertia is 0. 054 495 kg • m2 o Aiming at the general spindle system shown in Figure 4, the proposed rod group method is used as a method to calculate the dynamic reaction force and combined

The above parameters can be calculated as the dynamic reaction forces generated at nodes 5 and 19. For a spindle system with a balance shaft as shown in Figure 5, you need to calculate

Calculate the dynamic reaction forces at nodes 5, 9, 15 and 19. Among them, the dynamic reaction forces at nodes 9 and 15 are generated by helical gear transmission, and the force analysis of helical gear transmission is shown in Figure 6.

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