The most basic geometrical parameters of harmonic gear transmission are the index circle diameter DR of the flex wheel and the wave height d (corresponding to the modulus m). The rest of the parameters can be obtained by simple calculation. At present, the general steps for designing DR and d are as follows: first find the required output torque T on the vertical axis of the harmonic gear transmission load capacity diagram, and then make a curve on the horizontal line intersection at several points; The intersection point is the vertical line of the horizontal axis, and the number of the circle diameter is obtained. Then the gear ratio is rounded according to the formula i=DR/d. If the calculated gear ratio i is smaller than the required gear ratio, the diameter of the index circle is increased. Until the requirements are met, it can be seen from the above steps that it has the following deficiencies:

(1) Inconvenient, sometimes it is necessary to repeatedly calculate;

(2) Inaccuracy, the error of the vertical line of the horizontal line, the error of the carrying capacity map itself, and the error of reading the value from the intersection point will affect the accuracy of the result;

(3) Subjective and random. For a given T, generally 56 sets of different DRs and ds are obtained according to the above method, and are inconsistent with the required i; in this case, the rounded gear ratio i is inevitably subjectively random;

(4) When the computer-aided optimization design of harmonic drive cannot be satisfied, the need for quantitative and accurate analysis and calculation is needed.

In view of this, using the stepwise regression method, through the analysis and calculation of a large amount of data, a set of reflections of the relationship between the circle diameter DR of the flexible wheel, the wave height d and the bearing capacity (output torque T), and the transmission ratio i are obtained. A set of empirical formulas. Using this set of formulas, the load carrying capacity of the harmonic drive can be quickly and accurately estimated in the case of the selected DR and d; the optimum DR can be designed and calculated given the output torque T and the transmission ratio i. And d; thus providing a more accurate, reliable and convenient way for the design of the main parameters of the harmonic gear transmission, and also creating conditions for the optimization design of the harmonic gear transmission.

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