Method for shaping cylindrical gear

Abstract

The invention discloses a method for shaping a cylindrical gear, wherein the coordinate transformation matrix from an involute tooth profile curve of the gear to a default coordinate system XOY is shown in the description: the s 1 represents the involute, and the theta represents the included angle between the involute and the centerline of the base circle. The method has the beneficial effects that: generation of a plurality of tooth profile curves in the default coordinate system is realized by means of coordinate transformation matrix, and the number of parametric shaping characteristics is reduced; curve equation of spiral line is deduced, and redundant auxiliary curved surfaces are avoided; a straggling parameter is introduced, control for direction of the gear spiral is realized, and the quality of parametric shaping is improved; the structural design for circular arc profile, cycloidal profile and the like can be realized by means of replacing parameters in the tooth profile curve equation; key parameters of the gear are input and the gear model can be obtained, and the parametric shaping is realized.

Description

technical field [0001] The invention relates to a gear parametric modeling method, in particular to a cylindrical gear modeling method. Background technique [0002] Cylindrical gears include straight involute gears, helical involutes, shifting gears, etc. The parametric modeling process of the gear is actually the process of solving the modeling process of the helical gear with displacement. When the displacement coefficient is 0, it is a standard gear, and when the helix angle is 0, it is a spur gear. The difficulties in the parametric modeling of cylindrical gears are mainly the position transformation of the tooth profile curve (such as involute), the calculation of the tooth thickness of the shifted gear, the direction of rotation of the helical gear, and the generation of the helix. [0003] At present, Pro / E software is usually used to generate tooth profile curves. This software is a CAD / CAM / CAE integrated 3D software under the American Parametric Technology Corpora...

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Problems solved by technology

[0004] For the generation of multiple tooth profile curves, it is usually necessary to establish multiple coordinate systems and draw the curves in their respective coordinate systems. This method adds multiple redundant features and is not conducive to size parameterization; for helical gears For the helical problem, the left-handed and right-handed parametric models are usually established separately. This method cannot achieve full parameterization; the generation of the helix is ​​usually to create a slant line with an angle of the helix angle in the reference plane, and then The helix is ​​obtained by projecting onto the graduated circular surface. This method is cumbersome to create and introduces a redundant graduated circular surface. The quality of the model is not high, which is not conducive to CAE analysis.

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