Analysis on the management method of open gear transmission equipment
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In theory, according to the principle of gear external meshing and installation conditions, the correctness of the installation conditions can be proved, and they are verified in practice. Installation condition 3 can be used as the basis for the design of the open gear transmission. In addition, the installation conditions of the open gear transmission mechanism with more gears can be derived by referring to the installation conditions.
The calculation method is known from the mounting conditions. For the illustrated four-gear open gear transmission mechanism, if the number of teeth Z1, Z2, Z3, the modulus m, and the notch width b are given, a different positive integer n can be obtained, that is, a group solution can be obtained. For the six-gear open gear transmission mechanism shown, if the number of teeth Z1, Z2, Z3, Z4, and the gap width b are given, different A and B are obtained, and different positive integers n can be obtained, that is, one set of solutions can be obtained. . Formula calculation based on Microsoft Excel spreadsheet can set the step size, automatic calculation, and the advantages of combining charts. It is recommended to use Excel spreadsheet to calculate when calculating.
Open gear transmission, input the number of teeth, modulus, opening width b and the corresponding calculation formula in the Execl spreadsheet. As long as A is given, the results of n, 2O1O3-d1-d3, O2O2c-d2 and H-2A can be obtained. Thereby determining whether the installation condition is satisfied. Of course, the minimum and maximum values ​​of A can be determined first according to the installation condition 3. When the tooth tips of the two idler gears Z2 are in contact, A has a minimum value, and there is Amin1=arcsinda2d3 d2, where da2 is the diameter of the addendum circle of the gear Z2, mm; d3 and d2 are the points of the gears Z3 and Z2. Degree circle diameter, mm. According to H<2A, another minimum value of A can be obtained. At this time, there is Amin2=arcsinbd3, where b is the gap width and mm. At this time, Amin takes a large value in Amin1 and Amin2. When the gear Z1 is in contact with the tooth tip of the notch gear Z3, A has a maximum value, and there is Amax=arccosda1 da32 d2 d32-d1 d2da1 da32d2 d32, where d1 is the index circle diameter of the gear Z1, mm; da1 and Da3 is the tip diameter of the gears Z1 and Z3, mm. In this way, A calculates the value between Amin and Amax, and a set of n can be obtained. Then, according to other constraints, the appropriate n is determined, and the installation position of the four gears can be determined. In the same way, the installation position of the six-gear open gear transmission shown can be introduced.
The installation conditions of the four-gear open gear mechanism and the six-gear open gear mechanism given by the installation conditions are not only theoretically established, but also verified in practice and can be used as a design basis. In addition, in the open gear transmission mechanism with a larger number of gears, it can be used as a reference. Based on the superiority of formula calculation based on Microsoft Excel spreadsheet, it is recommended to use Excel spreadsheet to calculate the installation conditions of the open gear mechanism.