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Drawing the curve and determining the position of the gears Open the manufacturing engineer and enter the sketching work environment. First select the “front view†surface as the drawing reference plane, and use the “ellipse†command to input the long and short half axes. The shape of the elliptic curve. Since the teeth are evenly distributed on the pitch curve, the teeth divide the pitch curve equally, and because the tooth thickness on the pitch curve is equal to the tooth groove width, the pitch curve can be divided and the tooth profile of each tooth can be divided. The intersection with the knot curve can be determined, and the ellipse is equally divided by drawing the long points of the arc in the "point", and the section curve after the equal division is shown in Fig.
The tip height and root height of the elliptical gear of the tooth tip curve and the root curve should be plotted and measured in the normal direction of the section curve. Therefore, the tooth tip curve and the root curve of the gear are theoretically the normal equidistance lines of the pitch curve, and the normal distance between them and the pitch curve is the height of the crest and the height of the root. Use the "equal distance" command to select the section curve and enter the value of the tip height and the root height to obtain the tip curve and the root curve, as shown in Figure-.
Drawing the tooth profile of the elliptical gear of the tooth profile curve, strictly speaking, should be determined according to the analytical equation of the tooth profile curve. Using straight lines and arcs to fit the points on it, as long as the calculated points are large, the tooth profile obtained by this method is accurate enough. The disadvantage is that the equation is complicated, the calculation is large, and the time is cumbersome. Another method is to calculate the tooth shape, and calculate each tooth into the tooth shape of the equivalent circular gear. This method can be converted according to each tooth, and the obtained tooth shape can also achieve a certain degree of precision, and the method does not need A large number of calculations are simple, fast, and practical. With drawing, you only need to know the radius of curvature of each tooth.
Since the pitch curve of the elliptical gear is not a circle, the radius of curvature of each point on it is also different. If the section curve polar coordinate equation is. Indicates the calculation formula of the radius of curvature of each point above it. A complete tooth profile is obtained. The determination of other tooth shapes is similar. Finally, the excess lines in the crest and root curve are cut off, and the outline of the gear sketch is drawn. Then, the sketch ring is used to check whether the outline is closed until it is closed. Sketch outline, elliptical gear sketch outline.
In the sketching environment, the closed contour image required for feature modeling is first generated, which is the key and foundation of 3D modeling. As an auxiliary design tool, it provides a convenient and fast method for the creation of three-dimensional features of elliptical gears. On the basis of obtaining the three-dimensional characteristics of the elliptical gear, it can also perform analog wire cutting processing to generate the machining program code, which provides a quick method for further numerical control machining of the elliptical gear.
Multi-dimensional ergonomic components of curved gears and preset methods
The author uses the North Nauer series software as an auxiliary design tool to model the three-dimensional features of the elliptical gear. The most important task is to draw the two-dimensional contour of the elliptical gear in the sketch environment. The key to the drawing process is the drawing of the profile curve and the determination of the position of the teeth on the pitch curve.