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A variable step size discretization method for cycloidal gear tooth profile curve

A technology of cycloidal gear and variable step length, which is applied to components with teeth, belts/chains/gears, hoisting devices, etc., which can solve the problems of low interpolation efficiency, slow calculation speed, and high approximation accuracy, and achieve improved The effect of processing efficiency, fast calculation speed and high approximation accuracy

Active Publication Date: 2018-10-02
CRRC QISHUYAN INSTITUTE CO LTD
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

The equal distance method has high processing efficiency, but the fitting error is large; the equal step method has low interpolation efficiency in the part of the curve with small curvature; the equal error method has high approximation accuracy but the algorithm is complicated and the calculation speed is slow

Method used

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  • A variable step size discretization method for cycloidal gear tooth profile curve
  • A variable step size discretization method for cycloidal gear tooth profile curve
  • A variable step size discretization method for cycloidal gear tooth profile curve

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Embodiment 1

[0071] The invention discloses a variable step size discrete method for a cycloidal gear tooth profile, which comprises the following steps:

[0072] S1. Set the parameters of the cycloidal gear tooth profile curve: the radius of the needle tooth distribution circle R z =76.5mm, pin tooth radius r z =3mm, eccentric distance A=1.5mm, cycloid gear teeth number Z a =39, number of pins Z b =40, short amplitude coefficient K 1 = AZ b / R z =0.784;

[0073] S2. Deduce the cycloidal gear tooth profile curve equation

[0074] Such as figure 1 As shown, assuming that the base circle is fixed, take the center O of the base circle a is the origin of the X-Y rectangular coordinates, when the rolling circle r rolls from point C to point B on the base circle R, its center O revolves around the center O of the base circle a The angle of rotation is ψ, and the absolute rotation angle of rounding r is θ a , the relative rotation angle of the rolling circle r is θ b , then the coordin...

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Abstract

The invention discloses a cycloidal gear tooth curve variable step size discretization method, which comprises the following steps of S1, setting a cycloidal gear tooth curve parameter; S2, deriving out a cycloidal gear tooth curve equation; S3, deriving out a formula of the curvature radius Rho of the practical tooth curve of a cycloidal gear; S4, deriving out an equation of phi relevant to a pressure angle alpha; S5, deriving out an inflexion equation of the cycloidal gear tooth curve; S6, giving the curve linear interpolation initial step size discretization method. The discretization errors and given errors are compared for automatically regulating the closing step size, so that the maximum step size smaller than the closing errors can be obtained; on the premise of meeting the precision requirements, the number of cutting feeding times is reduced; the processing efficiency is improved. The cycloidal gear tooth curve variable step size discretization method provided by the invention has the advantage that the good integral index is realized in the aspects of closing precision, discretization efficiency and calculation speed.

Description

technical field [0001] The invention relates to a discrete method of a cycloidal curve, in particular to a variable-step-length discrete method of a cycloidal gear tooth profile curve. Background technique [0002] RV reducer is one of the key components of industrial robots. The robot RV reducer has the advantages of small size, light weight, stable transmission, no impact, no noise, high motion precision, large transmission ratio, high bearing capacity, etc., and is widely used in electronics, aerospace, robotics and other industries. The robot RV reducer has a complex structure, including a pinion housing, a planetary gear carrier, three crankshafts, a cycloidal wheel, and three pairs of tapered needle roller bearings installed between the crankshaft and the planetary gear carrier, and eccentrically mounted on the crankshaft The three pairs of bearings between the wheel and the cycloidal wheel, and the two pairs of bearings installed between the pinion housing and the pl...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50F16H55/17
CPCF16H55/17G06F30/17G06F30/20
Inventor 王起梁叶小芬姚宇超孟永帅宫峰方翁武李威锋
Owner CRRC QISHUYAN INSTITUTE CO LTD
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