An inverse involute function solving slide rule and its working method

Abstract

The present invention relates to an involute function solving slide rule, which comprises a support plate. A rack for reciprocating translational motion is arranged on the front surface of the support plate. A rotating gear is meshed with the tooth side of the rack. The axle at the center of the gear is fixed on the front surface of the support plate. A pressure angle dial is fixed on the side of the axle. A rotating pointer is arranged on the axle. A sliding sleeve is sleeved on the area outside the scale indicated by the pointer. The sliding sleeve is hinged to the indexing line position of the rack through a spindle. Scale lines with a range of 0 to 360° are arranged on the gear, representing the involute angle value. Scale lines with a range of 0 to 90° are arranged on the pressure angle dial, representing the involute pressure angle value. If the involute angle is given and the involute pressure angle is to be obtained, by rotating the gear, the involute pressure angle can be read on the pressure angle dial according to the indicated value of the pointer. Its advantages are simple structure, providing a simple implementation method for obtaining the involute function pressure angle.

Description

Technical Field

[0001] The present invention relates to an involute function solving slide rule and its working method, belonging to the field of engineering applications. Background Art

[0002] Involutes are widely used in the mechanical industry, especially in the tooth profiles of gears. From the involute function,

[0003] θ k = tan α k - α k

[0004] In the formula: α k -- involute pressure angle, θ k -- involute development angle

[0005] Given the involute pressure angle α k the involute development angle θ k can be obtained. However, for the inverse involute function, that is,

[0006] α k = f ( θ k )

[0007] If the involute development angle θ k is known, it is very difficult to find the pressure angle α k At present, the commonly used method is to use the exploration method to set a macro in Excel to solve the inverse involute function, and this process is rather cumbersome. There is also a method of using programming software to write a program to output the involute pressure angle according to the input involute development angle value, and this method requires a certain programming foundation. Currently, there is a lack of an invention design that can simply obtain the pressure angle of the inverse involute function.

[0008] From the formation principle of the involute, its working mode is that the generating line makes pure rolling on the base circle, and the normal line at any point on the involute must be tangent to the base circle. The working mode of the gear rack is also pure rolling. Therefore, an involute function solving slide rule designed by the present invention can read the involute pressure angle and development angle values through the indication value of the pointer by rotating the gear. Compared with consulting the involute function table, the process is simplified, and the pressure angle corresponding to the involute development angle can be quickly read. It provides a simple implementation method for obtaining the pressure angle of the inverse involute function. Summary of the Invention

[0009] In view of the deficiencies of the prior art, the technical problem to be solved by the present invention is to provide an involute function inverse solving slide rule and its working method.

[0010] To solve the above technical problem, the technical solution of the present invention is: an involute function inverse solving slide rule, including a support plate, on the front surface of the support plate there is a rack for reciprocating translational movement, the tooth side of the rack meshes with a rotating gear, the axle of the gear center is fixed on the front surface of the support plate, a pressure angle scale is fixed on the side of the axle, there is a rotating pointer on the axle, a sliding sleeve is sleeved on the area where the pointer indicates outside the scale, the sliding sleeve is articulated at the indexing line position of the rack through a pin shaft, on the gear there are scale lines in the range of 0 to 360°, representing the involute angle value, and on the pressure angle scale there are scale lines in the range of 0 to 90°, representing the involute pressure angle value.

[0011] Preferably, a slide rail is fixed on the front surface of the support plate, a slide rail groove is provided on the back surface of the rack, and the slide rail groove cooperates with the slide rail on the front surface of the support plate to achieve reciprocating translation.

[0012] Preferably, both the axle and the pin shaft are arranged perpendicular to the support plate.

[0013] Preferably, the pressure angle scale is fixed in the upper left corner side area of the axle.

[0014] Preferably, the tail end of the pointer is sleeved on the axle for rotation.

[0015] Preferably, on the area where the pointer indicates the scale, there are a first notch and a second notch for reading, the first notch is opened along the center line of the pointer to one side, the second notch is opened along the center line of the pointer to the other opposite side, the first notch aligns with the scale line area in the range of 0 to 90°, and the second notch aligns with the scale line area in the range of 0 to 360°.

[0016] Preferably, both the first notch and the second notch are rectangular notches, and the inner long sides of the rectangular notches are the center lines of the pointer.

[0017] Preferably, in the initial state of this involute function inverse solving slide rule, the scale lines in the range of 0 to 90° are located in the upper left corner area of the axle, the pointer is located at the connection of the upper left corner and the upper right corner, and both point to the 0° position of the scale lines in the range of 0 to 90° and 0 to 360°.

[0018] A working method of an involute function solving slide rule is carried out according to the following steps: If the given involute angle is a°, and now the involute pressure angle value is to be obtained: Rotate the gear counterclockwise. When the middle position of the pointer indicates the scale value a° on the gear, that is, the involute angle is equal to a°, stop rotating. Now read the value on the pressure angle dial. The scale value read on the pressure angle dial through the middle position of the pointer is b°, that is, the involute pressure angle is equal to b°.

[0019] Compared with the prior art, the present invention has the following beneficial effects: Rotating the gear drives the rack to slide, and the rack drives the pointer to rotate through the sliding sleeve. The pointer will slide relative to the sliding sleeve to achieve extension and rotation. According to the given involute angle value, when the gear is rotated to a certain position and then stopped, at this time, looking directly at the position of the pointer, the scale value on the gear can be read, which is the involute angle value, and then the scale value on the fixed pressure angle dial is read, which is the involute pressure angle. The structure design of the present invention is simple and convenient to use, providing a simple implementation method for obtaining the involute function pressure angle.

[0020] The following further describes the present invention in detail with reference to the drawings and specific embodiments. Description of the Drawings

[0021] Figure 1 It is a schematic structural diagram of an embodiment of the present invention.

[0022] Figure 2 It is a schematic diagram of the initial position of an embodiment of the present invention.

[0023] Figure 3 It is an example diagram of an embodiment of the present invention.

[0024] Figure 4 is Figure 2 a partial enlarged view of. Specific Embodiments

[0025] The following further describes the present invention with reference to the drawings and embodiments.

[0026] It should be noted that the following detailed description is exemplary and is intended to provide further explanation of the present application. Unless otherwise specified, all technical and scientific terms used herein have the same meaning as commonly understood by those of ordinary skill in the technical field to which this application belongs.

[0027] It should be noted that the terms used herein are only for describing specific embodiments and are not intended to limit the exemplary embodiments according to the present application. As used herein, unless the context clearly indicates otherwise, the singular forms are also intended to include the plural forms. In addition, it should be understood that when the terms "comprising" and / or "including" are used in this specification, they indicate the presence of features, steps, operations, devices, components, and / or combinations thereof.

[0028] As shown Figures 1 to 4 in the figure, this embodiment provides an involute function solving slide rule, which includes a support plate 1. A rack 2 for reciprocating translational motion is arranged on the front surface of the support plate. A rotating gear 3 is meshed with the tooth side of the rack. A wheel shaft 4 at the center of the gear is fixed on the front surface of the support plate. A pressure angle scale 5 is fixed on the side of the wheel shaft. A rotating pointer 6 is arranged on the wheel shaft. A sliding sleeve 7 is sleeved on the area outside the scale indicated by the pointer. The sliding sleeve is hinged at the indexing line position of the rack through a pin shaft 8. Scale lines with a range of 0-360° are arranged on the gear, representing the involute angle value. Scale lines with a range of 0-90° are arranged on the pressure angle scale, representing the involute pressure angle value. The pin shaft is located at the indexing line position of the rack. The gear and the rack cooperate to simulate the pure rolling motion of the involute base circle and the generating line.

[0029] In the embodiment of the present invention, a slide rail 9 is fixed on the front surface of the support plate. A slide rail groove is arranged on the back surface of the rack. The slide rail groove cooperates with the slide rail on the front surface of the support plate. The slide rail groove is a dovetail groove. The shape of the slide rail is adapted to the shape of the dovetail groove and is inserted into the slide rail groove to realize the reciprocating translation of the support plate along the slide rail.

[0030] In the embodiment of the present invention, both the wheel shaft and the pin shaft are arranged perpendicular to the support plate.

[0031] In the embodiment of the present invention, the pressure angle scale is fixed in the upper left corner side area of the wheel shaft.

[0032] In the embodiment of the present invention, the tail end of the pointer is sleeved on the wheel shaft for rotation.

[0033] In the embodiment of the present invention, a first notch 10 and a second notch 11 for reading are arranged in the area where the pointer indicates the scale. The first notch is opened along the center line of the pointer to one side. The second notch is opened along the center line of the pointer to the other opposite side. The first notch aligns with the scale line area of 0-90°. The second notch aligns with the scale line area of 0-360°.

[0034] In the embodiment of the present invention, both the first notch and the second notch are rectangular notches. The inner long sides of the rectangular notches are the center lines of the pointer. So as to accurately read the two scale values at the middle position of the pointer.

[0035] In the embodiment of the present invention, in the initial state of this involute function solving slide rule, the scale lines of 0-90° are located in the upper left corner area of the wheel shaft. The pointer is located at the connection between the upper left corner and the upper right corner and points to the 0° position of the 0-90° scale line and the 0-360° scale line.

[0036] A working method of an involute function solving slide rule is carried out according to the following steps: If the involute angle a° is given and the involute pressure angle value is to be found now: Rotate the gear counterclockwise. When the middle position of the pointer indicates the scale value a° on the gear, that is, the involute angle is equal to a°, stop rotating. Now read the value on the pressure angle dial. The scale value read on the pressure angle dial through the middle position of the pointer is b°, that is, the involute pressure angle is equal to b°.

[0037] That is, if the involute angle is given and the involute pressure angle is to be found, by rotating the gear, the involute pressure angle can be read on the pressure angle dial according to the indication value of the pointer. Its advantage lies in the simple structure, providing a simple implementation method for obtaining the involute function pressure angle.

[0038] Specific implementation process: Example 1: If the involute angle 20° is given and the involute pressure angle value is to be found now: Rotate the gear counterclockwise. When the middle position of the pointer indicates the scale value 20° on the gear, that is, the involute angle is equal to 20°, stop rotating. Now read the value on the pressure angle dial. The scale value read on the pressure angle dial through the middle position of the pointer is 51°, that is, the involute pressure angle is equal to 51°. After verification by the involute function θ k = tan α k -α k verification, the equation holds.

[0039] The above is only a preferred embodiment of the present invention, and it is not a limitation of the present invention in other forms. Any person skilled in the art may use the disclosed technical content to make changes or modifications into equivalent embodiments with equivalent changes. However, any simple modifications, equivalent changes and modifications made to the above embodiments based on the technical essence of the present invention without departing from the technical solution content of the present invention still fall within the protection scope of the technical solution of the present invention.

Claims

1. An inverse involute function solving slide rule, characterized in that: It includes a support plate. On the front of the support plate, there is a rack for reciprocating translational motion. The tooth side of the rack meshes with a rotating gear. The axle at the center of the gear is fixed on the front of the support plate. A pressure angle dial is fixed on the side of the axle. There is a rotating pointer on the axle. A sliding sleeve is sleeved on the area outside the scale indicated by the pointer. The sliding sleeve is hinged at the pitch line position of the rack through a pin shaft. The gear is provided with scale lines in the range of 0 - 360°, representing the involute angle value. The pressure angle dial is provided with scale lines in the range of 0 - 90°, representing the involute pressure angle value.

2. The anti-involute function solving slide rule according to claim 1, characterized in that: On the front of the support plate, a slide rail is fixed. On the back of the rack, there is a slide rail groove. The slide rail groove cooperates with the slide rail on the front of the support plate to achieve reciprocating translation.

3. The anti-involute function solving slide rule according to claim 1, characterized in that: Both the axle and the pin shaft are arranged perpendicular to the support plate.

4. The inverse involute function solving slide rule according to claim 1, wherein: The pressure angle dial is fixed in the upper left corner side area of the axle.

5. The anti-involute function solving slide rule according to claim 1, wherein: The tail end of the pointer is sleeved on the axle for rotation.

6. The inverse involute function solving slide rule according to claim 1, characterized in that: On the area where the pointer is used to indicate the scale, there are a first notch and a second notch for reading. The first notch is opened along the middle line of the pointer to one side. The second notch is opened along the middle line of the pointer to the other opposite side. The first notch aligns with the scale line area in the range of 0 - 90°. The second notch aligns with the scale line area in the range of 0 - 360°.

7. The inverse involute function solving slide rule according to claim 6, wherein: Both the first notch and the second notch are rectangular notches. The inner long sides of the rectangular notches are the middle line of the pointer.

8. The inverse involute function solving slide rule according to claim 1, characterized in that: In the initial state of this involute function solving slide rule, the scale lines in the range of 0 - 90° are located in the upper left corner area of the axle. The pointer is located at the junction of the upper left corner and the upper right corner and points to the 0° position of the 0 - 90° scale line and the 0 - 360° scale line.

9. A working method of an involute function solving slide rule as described in any one of claims 1-8, characterized in that, Proceed as follows: If the given involute angle is a°, now find the involute pressure angle value: Rotate the gear counterclockwise. When the middle position of the pointer indicates the scale value a° on the gear, that is, the involute angle is equal to a°, stop rotating. Now read the value on the pressure angle dial. The scale value read on the pressure angle dial through the middle position of the pointer is b°, that is, the involute pressure angle is equal to b°.

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