Digital enveloping method for determining profile of worm grinding wheel in grinding of modified cycloidal gear

Abstract

The invention discloses a digital enveloping method for determining a profile of a worm grinding wheel in grinding of a modified cycloidal gear. The digital enveloping method for determining the profile of the worm grinding wheel in grinding of the modified cycloidal gear comprises the steps that the profile of a standard cycloidal gear is dispersed into a series of points and forms a profile point tangent vector with a tangent vector at a profile, and the profile point tangent vector of the profile of the modified cycloidal gear is calculated according to a modified curve; meanwhile, a forming enveloping track and a generating enveloping track are dispersed into a series of points, the profile point tangent vector is used as a profile point tangent vector family of a forming space of forming enveloping motion and generating enveloping motion, and then, the profile point tangent vector family is switched through coordinate transformation and projection; and the digital enveloping method of a plane profile point tangent vector family is established, the dimensionality of a secondary enveloping profile point tangent vector family is reduced to a first enveloping profile point tangentvector family, worm grinding wheel profile points are obtained by using the digital enveloping method, and a worm grinding wheel profile is obtained through fitting. The method is simple and convenient to calculate, the worm grinding wheel profile can be rapidly obtained, and cycloidal gear profile points correspond to the worm grinding wheel profile points in a one-to-one mode.

Description

technical field [0001] The invention relates to the technical field of precision grinding and manufacturing of cycloidal gears, in particular to a digital envelope method for determining the sand profile of a worm in generative grinding of a modified cycloidal gear. Background technique [0002] With the development of industrial technology, especially the rapid development of robotics, aerospace and defense industries, higher requirements are placed on the quality and quantity of precision mechanical transmission. The cycloidal reducer has the advantages of large transmission ratio, compact structure, high transmission efficiency, stable operation, low noise, long life, etc., and can well solve the high requirements for precision mechanical transmission devices in the current industrial development. Therefore, cycloidal gears are used in The application of precision mechanical transmission will become more and more extensive. [0003] At present, the tool profile is genera...

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Problems solved by technology

[0005] In view of the non-standard profile similar to the modified cycloidal gear, the conjugate axis method based on analytical calculation has problems such as complex profile representation and difficult solution. The purpose of the present invention is to provide a modified cycloidal gear generative grinding The digital envelope method to determine the profile of the worm sand in order to achieve a more convenient and fast calculation of the profile of the worm sand, and the method has good geometric versatility and does not need to perform multiple complex calculations. During the calculation process, the cycloidal tooth profile There is also a one-to-one correspondence between the shape points and the worm sand profile shape points

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