CN104036072A - Shaft-type part multi-arc chamfer designing method - Google Patents

Abstract

The invention provides a shaft-type part multi-arc chamfer designing method. The method comprises the steps that (1) a shaft-type part is provided, and three-dimensional drawing software is used for conducting three-dimensional CAD modeling on the shaft-type part; (2) multi-arc parametric modeling is conducted at the positions of two perpendicular edges at the shaft step position of a small-diameter section and the shaft step position of a large-diameter section. When the multi-arc chamfer designing method is applied to step chamfer structural design of a general industrial shaft-type part, the stress level at the position of a step chamfer of the shaft-type part is lowered; the service life of the shaft-type part is prolonged; the service efficiency of materials of the shaft-type part is improved.

Description

Many circular arc chamferings of axial workpiece method for designing

Technical field:

The present invention relates to a kind of many circular arc chamferings of axial workpiece method for designing, it relates generally to the step chamfer design method of general industry axial workpiece.

Background technology:

Axial workpiece is widely used in, in the industry-by-industry in mechanical industry, comprising the national economy mainstay industries such as Aero-Space, boats and ships, automobile, machining.All can there is step in the axial workpiece of general practical application, and the step place stress dangerous position of axial workpiece often.In 19th century, engineers is concentrated in order to solve pillow block rank place stress, is increased axial workpiece serviceable life, has designed single circular arc rounding and bevelling two schemes at step place.This two schemes successful, obtain generally promoting and using in 20th century and 21 century, but how reduce the stress level at chamfering place, pillow block rank the today of day by day reforming in engineering more effectively, become technological difficulties the serviceable life of more effectively improving axle.

Therefore, the necessary deficiency of prior art being improved to solve prior art.

Summary of the invention:

The invention provides a kind of many circular arc chamferings of axial workpiece method for designing, it can effectively reduce the stress level at chamfering place, pillow block rank, and can effectively improve the serviceable life of axle.

The present invention adopts following technical scheme: a kind of many circular arc chamferings of axial workpiece method for designing, it comprises the steps:

Step 1). axial workpiece is provided, uses three-dimensional graphics software to carry out three-dimensional CAD modeling to axial workpiece, described axial workpiece comprises the reduced diameter section in left side and the enlarged diameter section on right side, and wherein the junction of reduced diameter section and enlarged diameter section is pillow block rank places;

Step 2). two sections of perpendicular edge places at the pillow block rank place of reduced diameter section and enlarged diameter section carry out many circular parametersization modeling, and described enlarged diameter section limit is vertical edge y axle, and reduced diameter section limit is horizontal edge x axle; Have n section circular arc, arc radius is from R ₁to R _nbecome gradually large, minimum circular arc R ₁tangent with enlarged diameter section limit, maximum circular arc R _ntangent with reduced diameter section limit; Require circular arc R simultaneously ₁, R ₂tangent, circular arc R ₂, R ₃tangent ... circular arc R _n-2, R _n-1tangent, circular arc R _n-1, R _ntangent, total 2n-1 independent design parameters R ₁, R ₂r _n-1, R _n; L ₂, L ₃... L _n-2, L _n-1; L is center of circle O _nhorizontal ordinate;

Central coordinate of circle: O ₁: (x ₁, y ₁);

$\left\{\begin{array}{c}{x}_1=R_1\\ y_1=y_1\end{array}\right.$

O ₂：(x ₂，y ₂)；

$\left\{\begin{array}{c}{x}_2=L_2\\ y_2=y_2\end{array}\right.$

……；

O _n-1：(x _n-1，y _n-1)；

$\left\{\begin{array}{c}{x}_{n-1}=L_{n-1}\\ y_{n-1}=y_{n-1}\end{array}\right.$

O _n：(x _n，y _n)；

$\left\{\begin{array}{c}{x}_n=L\\ y_n=R_n\end{array}\right.$

Geometric relationship:

$\left\{\begin{array}{c}{(R_n-R_{n-1})}^2={(L-L_{n-1})}^2+{(R_n-y_{n-1})}^2\\ {(R_{n-1}-R_{n-2})}^2={(L_{n-1}-L_{n-2})}^2+{(y_{n-1}-y_{n-2})}^2\\ ......\\ {(R_3-R_2)}^2={(L_3-L_2)}^2+{(y_3-y_2)}^2\\ {(R_2-R_1)}^2={(L_2-R_1)}^2+{(y_2-y_1)}^2\end{array}\right.$

Determine design parameter R ₁, R ₂r _n-1, R _n; L ₂, L ₃... L _n-2, L _n-1; L, can obtain unique n section circular arc chamfering structure.

Further, the n value in described n section circular arc is 2 or 3.

The present invention has following beneficial effect:

1). in same axle part, adopt many circular arc chamferings method for designing to compare traditional single circular arc chamfering method for designing, it has reduced the stress level at axial workpiece step chamfering place, in the serviceable life of having improved axial workpiece, has improved the service efficiency of shaft parts material.

2). many circular arc chamferings of axial workpiece method for designing of the present invention, at chamfering or the step place of the non-axial workpiece of other common mechanical parts, all can adopt similar many designed arc-shaped appearances method.

Brief description of the drawings:

Fig. 1 is provide a certain axial workpiece with step chamfering, and the axle left side is reduced diameter section, and the right is enlarged diameter section.

Fig. 2 is many circular arc chamferings structural design at step place.

Embodiment:

Below in conjunction with drawings and Examples, the invention will be further described.

Please refer to shown in Fig. 1 and Fig. 2, many circular arc chamferings of axial workpiece method for designing of the present invention, it comprises the steps:

Step 1). axial workpiece is provided, uses three-dimensional graphics software to carry out three-dimensional CAD modeling to axial workpiece, this axial workpiece comprises the reduced diameter section in left side and the enlarged diameter section on right side, and wherein the junction of reduced diameter section and enlarged diameter section is pillow block rank places;

Step 2). two sections of perpendicular edge places at the pillow block rank place of reduced diameter section and enlarged diameter section carry out many circular parametersization modeling, have n section circular arc, and arc radius is from R ₁to R _nbecome gradually large, minimum circular arc R ₁tangent with the enlarged diameter section limit (vertical edge y axle in Fig. 2) of axial workpiece, maximum circular arc R _ntangent with the reduced diameter section limit (horizontal edge x axle in Fig. 2) of axial workpiece; Require circular arc R simultaneously ₁, R ₂tangent, circular arc R ₂, R ₃tangent ... circular arc R _n-2, R _n-1tangent, circular arc R _n-1, R _ntangent.Total 2n-1 independent design parameters R ₁, R ₂r _n-1, R _n; L ₂, L ₃... L _n-2, L _n-1; L (center of circle O _nhorizontal ordinate).

Central coordinate of circle: O ₁: (x ₁, y ₁);

$\left\{\begin{array}{c}{x}_1=R_1\\ y_1=y_1\end{array}\right.$

O ₂：(x ₂，y ₂)；

$\left\{\begin{array}{c}{x}_2=L_2\\ y_2=y_2\end{array}\right.$

……；

O _n-1：(x _n-1，y _n-1)；

$\left\{\begin{array}{c}{x}_{n-1}=L_{n-1}\\ y_{n-1}=y_{n-1}\end{array}\right.$

O _n：(x _n，y _n)；

$\left\{\begin{array}{c}{x}_n=L\\ y_n=R_n\end{array}\right.$

Geometric relationship:

$\left\{\begin{array}{c}{(R_n-R_{n-1})}^2={(L-L_{n-1})}^2+{(R_n-y_{n-1})}^2\\ {(R_{n-1}-R_{n-2})}^2={(L_{n-1}-L_{n-2})}^2+{(y_{n-1}-y_{n-2})}^2\\ ......\\ {(R_3-R_2)}^2={(L_3-L_2)}^2+{(y_3-y_2)}^2\\ {(R_2-R_1)}^2={(L_2-R_1)}^2+{(y_2-y_1)}^2\end{array}\right.$

Determine design parameter R ₁, R ₂r _n-1, R _n; L ₂, L ₃... L _n-2, L _n-1; L, can obtain unique n section circular arc chamfering structural design scheme.

Easily find, along with the increase of Circular Arc n, the value of independent design parameter L also can be along with increase, the axial length that is chamfering structure can increase, and in actual conditions, due to all restrictions, the axial length of chamfering can not infinitely increase, can there is a upper limit, the more difficulty of processing that also can correspondingly increase of circular arc number, in multi-section circular arc design process, to fully take into account these problems, general two designed arc-shaped appearances or three-arc design (be n value be 2 or 3) in the said n section designed arc-shaped appearance scheme scheme that adopts just can well reach desired design target.

In many circular arc chamferings of axial workpiece method for designing of the present invention, pass through to adjust the design variable (R of many arc structures ₁, R ₂r _n-1, R _n; L ₂, L ₃... L _n-2, L _n-1; L), finally can obtain desirable many circular arc chamferings structure.

The above is only the preferred embodiment of the present invention, it should be pointed out that for those skilled in the art, can also make under the premise without departing from the principles of the invention some improvement, and these improve and also should be considered as protection scope of the present invention.

Claims (2)

1. many circular arc chamferings of axial workpiece method for designing, is characterized in that: comprise the steps

Step 1). axial workpiece is provided, uses three-dimensional graphics software to carry out three-dimensional CAD modeling to axial workpiece, described axial workpiece comprises the reduced diameter section in left side and the enlarged diameter section on right side, and wherein the junction of reduced diameter section and enlarged diameter section is pillow block rank places;

Step 2). two sections of perpendicular edge places at the pillow block rank place of reduced diameter section and enlarged diameter section carry out many circular parametersization modeling, and described enlarged diameter section limit is vertical edge y axle, and reduced diameter section limit is horizontal edge x axle; Have n section circular arc, arc radius is from R ₁to R _nbecome gradually large, minimum circular arc R ₁tangent with enlarged diameter section limit, maximum circular arc R _ntangent with reduced diameter section limit; Require circular arc R simultaneously ₁, R ₂tangent, circular arc R ₂, R ₃tangent ... circular arc R _n-2, R _n-1tangent, circular arc R _n-1, R _ntangent, total 2n-1 independent design parameters R ₁, R ₂r _n-1, R _n; L ₂, L ₃... L _n-2, L _n-1; L is center of circle O _nhorizontal ordinate;

Central coordinate of circle: O ₁: (x ₁, y ₁);

$\left\{\begin{array}{c}{x}_1=R_1\\ y_1=y_1\end{array}\right.$

O ₂：(x ₂，y ₂)；

$\left\{\begin{array}{c}{x}_2=L_2\\ y_2=y_2\end{array}\right.$

……；

O _n-1：(x _n-1，y _n-1)；

$\left\{\begin{array}{c}{x}_{n-1}=L_{n-1}\\ y_{n-1}=y_{n-1}\end{array}\right.$

O _n：(x _n，y _n)；

$\left\{\begin{array}{c}{x}_n=L\\ y_n=R_n\end{array}\right.$

Geometric relationship:

$\left\{\begin{array}{c}{(R_n-R_{n-1})}^2={(L-L_{n-1})}^2+{(R_n-y_{n-1})}^2\\ {(R_{n-1}-R_{n-2})}^2={(L_{n-1}-L_{n-2})}^2+{(y_{n-1}-y_{n-2})}^2\\ ......\\ {(R_3-R_2)}^2={(L_3-L_2)}^2+{(y_3-y_2)}^2\\ {(R_2-R_1)}^2={(L_2-R_1)}^2+{(y_2-y_1)}^2\end{array}\right.$

Determine design parameter R ₁, R ₂r _n-1, R _n; L ₂, L ₃... L _n-2, L _n-1; L, can obtain unique n section circular arc chamfering structure.

2. many circular arc chamferings of axial workpiece method for designing as claimed in claim 1, is characterized in that: the n value in described n section circular arc is 2 or 3.