The modeling of a slave spiral driven bevel gear in a heavy-duty vehicle is used as an example to verify the correctness of the above theoretical derivation. Based on the CATIA curve modeling method, the spiral bevel gear is established according to the above parameters. According to the shape of the cutting tool of the spiral bevel gear, the equation of the cutting edge of the tool and the equation of the front cone and the back cone of the bevel gear are established.
On the basis of the principle of meshing and the principle of the cutting gear of the spiral bevel gear, the key point equation of the bevel gear tooth surface under the machine tool coordinate is introduced by coordinate transformation, and then the key points are smoothly connected to obtain the three-dimensional solid model of the spiral bevel gear. Compared with the previous methods, the three-dimensional model of the spiral piston bevel gear of Shanghai sewage pump can be obtained without using the relevant mathematical software to collect the tooth surface data points, which is convenient for calculation and does not need to rely on CAD three-dimensional software, so it can be used for independent software development. . The proposed mathematical model and the established 3D solid model provide the basic conditions for the digital manufacturing, finite element analysis and TCA analysis of the spiral bevel gear.
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