# Analysis of the solution result of forging forming force of spiral bevel gear

As shown in the table, the forging deformation force of open die forging and non flash die forging of spiral bevel gear obtained by using the combination method of principal stress and upper limit, deformation work method and empirical formula method.

From the calculation results in the table, it can be seen that the forging deformation force of spiral bevel gear obtained by three methods is different. Because the empirical formula is put forward on the basis of ensuring the selection of sufficient tonnage spiral bevel gear forging equipment, the result will be too large; The deformation work method is based on the assumption that the deformed body has a continuous velocity field, which leads to the neglect of the shear deformation work caused by the discontinuous velocity of spiral bevel gear forming, so the calculation result is too small; When using the combined method of principal stress and upper bound, the plastic deformation power, friction power and shear power consumed by plastic deformation are comprehensively considered, and then the deformation force required for the whole gear forming is obtained. The strain velocity field in each deformation zone is optimized according to the principle of minimum work, The minimum upper bound solution is obtained on the premise that it is greater than the actual forging deformation force of spiral bevel gear, and the calculation result is relatively accurate.

Although the calculation results of the three methods are different, on the whole, the calculation results obtained by the three methods are basically the same. According to the forging deformation force of spiral bevel gear obtained by the three analysis methods, the forging deformation force of spiral bevel gear without flash forging is 60% lower than that of open die forging, The forming of spiral bevel gear by precision forging without flash can greatly improve the production efficiency and reduce the production cost.

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