For the sake of convenience, we study the radius of a point at the graduation circle. The radius of deformation also refers to the radius of a point at the index circle. It can be seen that when the wave generator is continuously running, the radial deformation of any point of the flex wheel is The variable of the corner change. If the point on the flexible wheel is not deformed, the radius is set to the radius of the circle of the rigid wheel. The curve with the change is called the soft wheel deformation waveform. When the wave generator moves to the point, the point is completely disengaged, and the point changes from the maximum radius to the minimum radius. The difference between the two is called the deformation wave height 2, which is twice the maximum deformation of the flexible wheel. That is to say, we have an important guiding significance for us to properly design the harmonic gear parameters and select the appropriate soft wheel material to improve the fatigue resistance of the soft wheel.
As mentioned above, when the waveform generator is inserted into the inner circle of the flexible wheel, the flexible wheel is forced to deform, the flexible wheel is elliptical, and the short semi-axis diameter of the ellipse is used, and the above equation is replaced by polar coordinates. When the waveform generator turns a corner, the radius of the point becomes. The calculated value of the radial deformation amount can be roughly seen as the change trend, and the maximum positive, negative and zero deformation amounts respectively, and their values ​​are respectively. Then use computer programming (take more points) to draw.
The curve is as follows. P. Conclusion From the graph M curve, it can be seen that in the one rotation of the waveform generator Q, the number of times of the same deformation of each point of the flex wheel is M, which is called the wave number, which is expressed by the number of teeth of the rigid wheel and the flexible wheel. Poor, this harmonic gear is called a dual-wave harmonic gear. From the above inference and calculation results and the plotted curve, the radial deformation amount # of any point of the flex wheel is expressed as a function of the rotation angle $ as shown in the formula (B). The waveform is very similar to a standard sinusoid, but not a standard sinusoidal relationship. If the wheel is fixed, the wave generator rotates counterclockwise. When it rotates for one round, the flexible wheel must rotate two teeth clockwise with respect to the rigid wheel, so that the arc lengths of the contact during the meshing process can be equal. When the flexible wheel makes one turn, the wave generator must circle. Therefore, when the rigid wheel is fixed and the drive wheel is the working principle of the harmonic gear 1 transmission, the variation of the radial deformation of the flexible wheel at any point in the double-wave harmonic gear with the rotation angle is analyzed. Function relational expressions, using the computer as a tool to make a relationship curve between the two.

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