阅读说明：本技术 锥形孔深度检测方法 (Method for detecting depth of tapered hole ) 是由 成钢 杨阳 罗军 张湘林 于 2019-10-18 设计创作，主要内容包括：本发明公开了一种锥形孔深度检测方法,包括以下步骤：建立锥形孔深度检测模型,即在锥形孔中放入钢球；推导锥形孔深度的计算公式；选取钢球,将钢球放在锥形孔中,确定钢球半径、锥形孔锥半角；测量钢球顶部到锥形孔所在平面的距离；计算钢球中心到锥形孔所在平面的距离；根据测量的钢球半径、锥形孔锥半角、钢球顶部到锥形孔所在平面的距离、钢球中心到锥形孔所在平面的距离计算出锥形孔深度；判断锥形孔深度是否合格。本发明通过推论出数学公式和间接检测方法实现阀芯定位锥形孔的深度检测,用检出间接尺寸判定锥形孔深度的实际尺寸在极限尺寸范围内,以判断加工是否合格,此方法适应任何锥形孔锥半角的锥形孔深度的实际尺寸检测。(The invention discloses a method for detecting the depth of a conical hole, which comprises the following steps: establishing a taper hole depth detection model, namely putting a steel ball into the taper hole; deducing a calculation formula of the depth of the conical hole; selecting a steel ball, placing the steel ball in the conical hole, and determining the radius of the steel ball and the conical half angle of the conical hole; measuring the distance from the top of the steel ball to the plane of the conical hole; calculating the distance from the center of the steel ball to the plane of the conical hole; calculating the depth of the conical hole according to the measured radius of the steel ball, the cone half angle of the conical hole, the distance from the top of the steel ball to the plane of the conical hole and the distance from the center of the steel ball to the plane of the conical hole; and judging whether the depth of the conical hole is qualified or not. The depth detection of the valve core positioning conical hole is realized by deducing a mathematical formula and an indirect detection method, and the detected indirect size is used for judging whether the actual size of the conical hole depth is in the limit size range so as to judge whether the machining is qualified.)

1. A taper hole depth detection method comprises the following steps:

1) establishing a taper hole depth detection model, namely putting a steel ball into the taper hole;

2) deducing a calculation formula of the depth of the conical hole according to the detection model;

3) selecting a steel ball, placing the steel ball in the conical hole, and determining the radius R of the steel ball and the cone half angle alpha of the conical hole;

4) measuring the distance h from the top of the steel ball to the plane of the conical hole;

5) calculating the distance delta from the center of the steel ball to the plane of the conical hole according to the measured distance h from the top of the steel ball to the plane of the conical hole;

6) calculating the depth H of the conical hole according to the measured radius R of the steel ball, the cone half angle alpha of the conical hole, the distance H from the top of the steel ball to the plane of the conical hole and the distance delta from the center of the steel ball to the plane of the conical hole;

7) and judging whether the depth H of the taper hole is qualified or not.

2. The taper hole depth detection method according to claim 1, wherein in the step 2), the derivation process of the taper hole depth calculation formula is:

the steel ball is tangent to the conical surface of the conical hole, and the following can be obtained according to the geometric principle:

δ＝h-R (1)

R＝(H+δ)Sinα (2)

wherein delta is the distance from the center of the steel ball to the plane of the conical hole, H is the distance from the top of the steel ball to the plane of the conical hole, R is the radius of the steel ball, H is the depth of the conical hole, and alpha is the conical half angle of the conical hole;

the following equations (1) and (2) can be obtained:

R/ Sinα＝ H+h-R (3)

H ＝R(1+1/ Sinα)- h (4)。

3. the tapered hole depth detection method according to claim 2, wherein in the step 7), the criterion for judging the tapered hole depth H as being qualified is that the value H is between Hmax and Hmin, Hmax is the maximum value of the tapered hole depth, and Hmin is the minimum value of the tapered hole depth.

4. The tapered hole depth detection method according to claim 3, further comprising the step of calculating Hmax and Hmin from Hmax and Hmin:

transforming equation (4) can obtain:

h ＝R(1+1/ Sinα)- H (5)

substituting the H-Hmax and the H-Hmin into a formula (5) respectively to obtain Hmax and Hmin, wherein Hmax is the maximum value of the distance from the top of the steel ball to the plane of the tapered hole, and Hmin is the minimum value of the distance from the top of the steel ball to the plane of the tapered hole; h is detected through the steel ball and the vernier caliper, whether the actual size of the depth of the conical hole is qualified or not is judged according to whether the value of h is between hmax and hmin, if yes, the actual size is qualified, and if not, the actual size is not qualified.

5. The taper hole depth detection method according to claim 3, wherein in the step 3), the radius R of the selected steel ball meets the following requirement: r is more than or equal to H/(1+1/sin alpha).

Technical Field

The invention relates to a method for detecting depth of a tapered hole.

Background

In machining a valve core positioning taper hole of a hydraulic component in the mechanical industry, the depth H of the valve core positioning taper hole is very inconvenient to detect due to the fact that the taper hole is formed in a point, for example, in the figure 1, A in the figure 1 is the valve core positioning taper hole. This state can cause the positioning steel ball and the valve core positioning taper hole to fail to realize the positioning function normally, as shown in fig. 2, B in fig. 2 is the positioning steel ball, and the positioning instability can be caused to generate displacement, so it must be solved by other methods.

Disclosure of Invention

In order to solve the technical problems, the invention provides a method for detecting the depth of the conical hole, which has the advantages of simple algorithm and convenience in detection.

The technical scheme for solving the problems is as follows: a taper hole depth detection method comprises the following steps:

1) establishing a taper hole depth detection model, namely putting a steel ball into the taper hole;

2) deducing a calculation formula of the depth of the conical hole according to the detection model;

3) selecting a steel ball, placing the steel ball in the conical hole, and determining the radius R of the steel ball and the cone half angle alpha of the conical hole;

4) measuring the distance h from the top of the steel ball to the plane of the conical hole;

5) calculating the distance delta from the center of the steel ball to the plane of the conical hole according to the measured distance h from the top of the steel ball to the plane of the conical hole;

6) calculating the depth H of the conical hole according to the measured radius R of the steel ball, the cone half angle alpha of the conical hole, the distance H from the top of the steel ball to the plane of the conical hole and the distance delta from the center of the steel ball to the plane of the conical hole;

7) and judging whether the depth H of the taper hole is qualified or not.

In the above method for detecting the depth of the tapered hole, in the step 2), the derivation process of the calculation formula of the depth of the tapered hole is as follows:

the steel ball is tangent to the conical surface of the conical hole, and the following can be obtained according to the geometric principle:

δ＝h-R (1)

R＝(H+δ)Sinα (2)

wherein delta is the distance from the center of the steel ball to the plane of the conical hole, H is the distance from the top of the steel ball to the plane of the conical hole, R is the radius of the steel ball, H is the depth of the conical hole, and alpha is the conical half angle of the conical hole;

the following equations (1) and (2) can be obtained:

R/Sinα＝H+h-R (3)

H＝R(1+1/Sinα)-h (4)。

in the above method for detecting the depth of the tapered hole, in the step 7), the criterion for judging that the depth H of the tapered hole is qualified is that the H value is between Hmax and Hmin, Hmax is the maximum value of the depth of the tapered hole, and Hmin is the minimum value of the depth of the tapered hole.

The method for detecting the depth of the taper hole further comprises the following steps of calculating Hmax and Hmin through Hmax and Hmin:

transforming equation (4) can obtain:

h＝R(1+1/Sinα)-H (5)

substituting the H-Hmax and the H-Hmin into a formula (5) respectively to obtain Hmax and Hmin, wherein Hmax is the maximum value of the distance from the top of the steel ball to the plane of the tapered hole, and Hmin is the minimum value of the distance from the top of the steel ball to the plane of the tapered hole; h is detected through the steel ball and the vernier caliper, whether the actual size of the depth of the conical hole is qualified or not is judged according to whether the value of h is between hmax and hmin, if yes, the actual size is qualified, and if not, the actual size is not qualified.

In the method for detecting the depth of the tapered hole, in the step 3), the radius R of the selected steel ball meets the following requirements: r is more than or equal to H/(1+1/sin alpha).

The invention has the beneficial effects that: the depth H detection of the valve core positioning taper hole is realized by deducing a mathematical formula and an indirect detection method, the indirect size H is detected by a steel ball and a depth vernier caliper, the detected indirect size is used for judging whether the actual size of the taper hole depth is in the range of Hmax and Hmin so as to judge whether the machining is qualified, and the method is suitable for the actual size detection of the taper hole depth of any taper hole taper half angle alpha.

Drawings

FIG. 1 is a schematic view of a valve core positioning tapered bore.

Fig. 2 is a schematic diagram of the case positioning taper hole being unable to be positioned normally.

FIG. 3 is a flow chart of the present invention.

Fig. 4 is a schematic view of the extreme dimensions of the depth of the tapered hole in the present invention.

FIG. 5 is a schematic diagram of a detection model according to the present invention.

FIG. 6 is a schematic diagram of the detection of h by the steel ball and the vernier caliper in the present invention.

Detailed Description

The invention is further described below with reference to the figures and examples.

As shown in fig. 3 to 6, a method for detecting the depth of a tapered hole includes the following steps:

1) and (3) establishing a taper hole depth detection model, namely putting a steel ball into the taper hole, wherein the model is shown in figure 5.

2) And deducing a calculation formula of the depth of the conical hole according to the detection model. The derivation process of the calculation formula of the depth of the taper hole is as follows:

the steel ball is tangent to the conical surface of the conical hole, and the following can be obtained according to the geometric principle:

δ＝h-R (1)

R＝(H+δ)Sinα (2)

wherein delta is the distance from the center of the steel ball to the plane of the conical hole, H is the distance from the top of the steel ball to the plane of the conical hole, R is the radius of the steel ball, H is the depth of the conical hole, and alpha is the conical half angle of the conical hole;

the following equations (1) and (2) can be obtained:

R/Sinα＝H+h-R (3)

H＝R(1+1/Sinα)-h (4)。

3) selecting a steel ball, placing the steel ball in the conical hole, and determining the radius R of the steel ball and the cone half angle alpha of the conical hole.

4) And measuring the distance h from the top of the steel ball to the plane of the conical hole.

5) And calculating the distance delta from the center of the steel ball to the plane of the tapered hole according to the measured distance h from the top of the steel ball to the plane of the tapered hole.

6) And calculating the depth H of the tapered hole according to the measured radius R of the steel ball, the taper half angle alpha of the tapered hole, the distance H from the top of the steel ball to the plane of the tapered hole and the distance delta from the center of the steel ball to the plane of the tapered hole.

7) And judging whether the depth H of the taper hole is qualified or not. The criterion for determining the qualified depth H of the tapered hole is that the H value is between Hmax and Hmin, Hmax is the maximum value of the depth of the tapered hole, and Hmin is the minimum value of the depth of the tapered hole, as shown in fig. 4.

And (3) calculating Hmax and Hmin through Hmax and Hmin:

transforming equation (4) can obtain:

h＝R(1+1/Sinα)-H (5)

substituting the H-Hmax and the H-Hmin into a formula (5) respectively to obtain Hmax and Hmin, wherein Hmax is the maximum value of the distance from the top of the steel ball to the plane of the tapered hole, and Hmin is the minimum value of the distance from the top of the steel ball to the plane of the tapered hole; as shown in fig. 6, h is detected by the steel ball and the vernier caliper, whether the actual size of the depth of the conical hole is qualified is judged by judging whether the h value is between hmax and hmin, if yes, the actual size is qualified, and if not, the actual size is not qualified.

Selecting the radius R of the steel ball:

by h ≧ R + δ ≧ 0

(δ+H)sinα＝R→δ＝R/sinα-H

Deducing R + R/sin alpha-H ≧ 0 → R ≧ H/(1+1/sin alpha)

The radius R of the selected steel ball meets the following requirements: r is more than or equal to H/(1+1/sin alpha).

By verification, the design can basically meet the actual use requirement and the design target. The taper hole processing is formed by a special taper hole drill.