Inside engaged gear tooth form design method based on B-spline engaging line

A technology of internal meshing gears and meshing lines, which is applied in belts/chains/gears, calculations, mechanical equipment, etc., and can solve problems such as design parameters with limited scope of application

Active Publication Date: 2016-10-12
刘晓雁
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  • Abstract
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  • Application Information

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Problems solved by technology

The traditional involute tooth shape and cycloid tooth shape are designed with a fixed tooth shape, and the meshing performance of the gear is changed by changing the design parameters. The scope of application is limited by the design parameters. In o

Method used

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  • Inside engaged gear tooth form design method based on B-spline engaging line
  • Inside engaged gear tooth form design method based on B-spline engaging line
  • Inside engaged gear tooth form design method based on B-spline engaging line

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Embodiment Construction

[0024] The implementation of the method of the present invention will be described in detail below in conjunction with the accompanying drawings.

[0025] The flow chart of a method for designing the tooth shape of a large coincidence degree internal meshing gear based on the circular meshing line of the present invention is as follows figure 1 As shown, including (1) using non-uniform B-splines to construct the meshing line of internal gears; (2) establishment of the corresponding relationship between the conjugate gear tooth profile curve and the meshing line satisfying the B-spline meshing line and the analysis of the meshing properties; ( 3) Construct the conjugate tooth profile curve of the internal meshing gear that satisfies the cubic non-uniform B-spline meshing line; (4) Establish the objective function based on the smoothness requirements of the tooth profile curve and the optimal meshing performance of the conjugate gear. (5) Interference check of the conjugate toot...

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Abstract

The invention discloses an inside engaged gear tooth form design method based on a B-spline engaging line. According to the method, an inside engaged gear engaging line is constructed by using b-splines according to the freedom and flexibility of b-spline curves constructing complex curves; according to the gear engagement principle, an inside engaged internal and external gear conjugate tooth profile curve satisfying the engaging line is constructed, and the engagement performance of the inside engaged internal and external gear conjugate tooth profile curve is analyzed; with the goal of the smoothness of the engaging line and the engagement performance of the conjugate tooth profile, optimized design of the conjugate tooth profile is carried out; and a tooth root transition circular curve from the tooth profile curve to a root circle is constructed, and the overall tooth design of an inside engaged gear is completed. Through the engaging line designed through the method, the engagement performance of the constructed conjugate tooth profile can be solved before construction of the conjugate tooth profile. According to the method, the engaging line constructed by the B-splines is utilized, and the shape of the engaging line can be adjusted conveniently by changing position coordinates of a control vortex. Thus, the method has great freedom in geometrical shape design and the engagement performance design of the inside engaged gear conjugate tooth profile.

Description

technical field [0001] The invention belongs to the technical field of transmission gear design, and relates to a method for designing the tooth shape of an internal meshing gear based on a B-spline meshing line. Background technique [0002] Internal gear transmission is an important form of transmission. It is composed of internal and external gears, which can transmit motion and power in the same direction. Compared with external gear transmission, it has a more compact structure, stronger load-bearing capacity, and can reduce the conjugate tooth profile. The power loss caused by the relative sliding of the curve, so the transmission efficiency is higher, and it has a wide range of applications in vehicle transmission, rotary arm joints, medical machinery and other transmission systems. At present, the tooth shape of the internal meshing gear is mainly an involute tooth shape, which has the advantages of easy processing and manufacturing, and low sensitivity to installati...

Claims

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Application Information

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IPC IPC(8): F16H55/08F16H55/17G06F17/50
CPCF16H55/0806F16H55/0826F16H55/17F16H2055/176G06F30/17
Inventor 王延忠李圆赵鹏坤任少英
Owner 刘晓雁
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