Method of measuring bevels with a sine protractor

Abstract

The embodiment of the application provides a sine rule measurement method of an inclined surface, and relates to the field of special-shaped part sine rule measurement. The method aims to improve the problems of difficult positioning and difficult detection of size precision in the case of no right angle of the special-shaped part. The sine rule measurement method of the inclined surface comprises the following steps: supporting a workpiece to be measured on a sine rule by using a first measuring rod and / or a first measuring block, and supporting the sine rule by using a second measuring block, so as to convert the inclined surface of the workpiece to be measured into a plane; obtaining a theoretical height AB from a lowest point of the workpiece to be measured to a corner point of the sine rule according to a diameter of the first measuring rod and / or a thickness delta of the first measuring block and a theoretical value alpha of an angle to be measured of the workpiece; obtaining a theoretical height H of the plane of the workpiece to be measured to a flat plate according to the theoretical height AB from the lowest point of the workpiece to be measured to the corner point of the sine rule, a theoretical height H2 of the corner point of the sine rule to the flat plate and a height H3 of the workpiece to be measured. The combination of the measuring block and the measuring rod is used, and the measurement method of the special-shaped part without right angle is provided.

Description

Technical Field

[0001] This invention relates to the field of sine bar measurement of irregularly shaped parts, and more specifically, to a method for measuring inclined planes with a sine bar. Background Technology

[0002] This describes the use of a sine bar to measure the taper of a cone. In a right-angled triangular piece, sinα = H / L, where H is the height dimension of the gauge block set, L is the center distance of the sine bar, and α is the cone angle of the cone being measured. Based on the formula sinα = H / L, the value of the gauge block set H can be calculated. The error of the measured angle can be obtained by measuring the difference between the two ends of the cone using a torsion spring micrometer. When fitters participate in skill competitions or upgrade their skill levels, or when tool fitters make patterns, they often encounter irregularly shaped parts such as dovetails, triangular pieces, and pentagonal pieces. Using traditional measurement methods and manufacturing techniques not only makes it difficult to guarantee measurement accuracy, but also fails to guarantee the dimensional accuracy, flatness, and symmetry of the manufactured workpieces. How to manufacture workpieces that meet the required precision and ensure measurement accuracy has become an urgent problem to be solved. Summary of the Invention

[0003] The present invention aims to provide, for example, a method for measuring inclined planes using a sine bar, which can improve the problems of difficult positioning and dimensional accuracy detection when irregularly shaped parts lack right angles.

[0004] The embodiments of the present invention can be implemented as follows:

[0005] An embodiment of the present invention provides a method for measuring an inclined plane using a sine bar, comprising:

[0006] The workpiece to be measured is supported on the sine gauge using the first gauge bar and / or the first gauge block, and the sine gauge is supported using the second gauge block, so as to transform the inclined surface of the workpiece to be measured into a plane.

[0007] Based on the diameter of the first measuring rod And / or the thickness δ of the first gauge block, and the theoretical value α of the measured angle of the workpiece, to obtain the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge.

[0008] Based on the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge, the theoretical height H2 from the corner point of the sine gauge to the plate, and the height H3 of the workpiece, the theoretical height H of the plane of the workpiece to the plate is obtained.

[0009] In addition, the method for measuring inclined planes using a sine bar provided in the embodiments of the present invention may also have the following additional technical features:

[0010] Optionally, the workpiece to be measured is a triangular piece with rounded corners; the first inclined surface of the triangular piece is in contact with the auxiliary baffle of the sine gauge, and the first gauge block supports the first gauge bar so that the first gauge bar is tangent to the second inclined surface of the triangular piece;

[0011] The diameter of the first measuring bar is used as a reference. The formula for calculating the theoretical height AB from the lowest point of the workpiece to the sine gauge angle point, using the thickness δ of the first gauge block and / or the theoretical value α of the measured angle of the workpiece, includes:

[0012] According to the formula: The theoretical height AB from the lowest point of the workpiece to be measured to the corner point of the sine gauge is obtained;

[0013] The formula for calculating the theoretical height H of the plane of the workpiece from the plate to the plate, based on the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge, the theoretical height H2 from the corner point of the sine gauge to the plate, and the height H3 of the workpiece, includes:

[0014] According to the formula: Obtain the theoretical height H from the plane of the triangular piece to the flat plate.

[0015] Optionally, the formula is as follows: The formulas for calculating the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge include:

[0016] According to the formula: Obtain the height OD from the center of the first round bar to the corner point of the sine compass; where, draw an auxiliary height line OD from the center O of the first round bar to the corner point of the sine compass, and compare it with the surface line of the sine compass at point E. OE is the height from the center O of the first round bar to point E; DE is the height from point E to the corner point of the sine compass.

[0017] According to the formula: The auxiliary elevation line OD is compared with the first circular bar at point G;

[0018] According to the formula: The theoretical height AB from the lowest point of the workpiece to be measured to the corner point of the sine gauge is obtained.

[0019] Optionally, the diameter of the first measuring rod The formula for calculating the thickness δ of the first gauge block includes:

[0020] Where r is the radius of the arc of the triangular piece, and R is the radius of the inscribed circle of the triangular piece.

[0021] Optionally, the workpiece to be measured is a triangular piece, the first inclined surface of the triangular piece is in contact with the auxiliary baffle of the sine gauge, and the first measuring rod is tangent to the second inclined surface of the triangular piece.

[0022] Optionally, the workpiece to be measured is a pentagonal piece; the first measuring bar is supported between the auxiliary baffle of the sine gauge and the pentagonal piece, the first measuring bar is tangent to the auxiliary baffle of the sine gauge and tangent to the inclined surface of the pentagonal piece;

[0023] The diameter of the first measuring bar is used as a reference. The formula for calculating the theoretical height AB from the lowest point of the workpiece to the sine gauge angle point, using the thickness δ of the first gauge block and / or the theoretical value α of the measured angle of the workpiece, includes:

[0024] According to the formula: The theoretical height AB from the lowest point of the workpiece to be measured to the corner point of the sine gauge is obtained;

[0025] The formula for calculating the theoretical height H of the plane of the workpiece from the plate to the plate, based on the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge, the theoretical height H2 from the corner point of the sine gauge to the plate, and the height H3 of the workpiece, includes:

[0026] According to the formula: Obtain the theoretical height H from the plane of the pentagonal piece to the flat plate.

[0027] Optionally, the formula is as follows: The formulas for calculating the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge include:

[0028] According to the formula: get The distance B1D1 from the corner point B1 of the sine compass to the lowest point D1 of the pentagonal piece is obtained; a perpendicular line is drawn from the center O1 of the first round bar to the surface of the sine compass, intersecting at point C1. B1 is the corner point of the sine compass, and D1 is the lowest point of the pentagonal piece.

[0029] Optionally, the diameter of the first measuring rod The calculation formulas include:

[0030] Where R1 is the radius of the inscribed circle of the pentagonal piece.

[0031] Optionally, the calculation steps for the theoretical height H2 from the sine bar corner point to the flat plate include:

[0032] The second measuring rod is placed on the sine gauge, and the second measuring rod is tangent to the auxiliary baffle and the surface of the sine gauge respectively;

[0033] Based on the measured distance A2M from the highest point of the second measuring rod to the flat plate, the theoretical value α1 of the first angle to be measured, and the diameter of the second measuring rod... The theoretical height H2 from the sine bar corner point to the flat plate is obtained.

[0034] Optionally, the measurement distance A2M from the highest point of the second measuring rod to the flat plate, the theoretical value α1 of the first angle to be measured, and the diameter of the first measuring rod are used. The formula for calculating the theoretical height H2 from the sine bar corner point to the plate includes:

[0035] According to the formula: O2J=O2I×sin(45°+α1), we can obtain O2J; where, we draw the altitude line O2J from the center O2 of the second round rod to the sine compass corner point, and I is the sine compass corner point;

[0036] According to the formula:

[0037] The beneficial effects of the sine bar method for measuring inclined planes according to embodiments of the present invention include, for example:

[0038] A method for measuring an inclined plane using a sine bar includes supporting the workpiece to be measured on the sine bar using a first gauge bar and / or a first gauge block, and supporting the sine bar using a second gauge block to transform the inclined plane of the workpiece into a plane; based on the diameter of the first gauge bar... Using the thickness δ of the first gauge block and the theoretical value α of the measured angle of the workpiece, the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge is obtained; based on the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge, the theoretical height H2 from the corner point of the sine gauge to the plate, and the height H3 of the workpiece, the theoretical height H from the plane of the workpiece to the plate is obtained.

[0039] By using a combination of gauge blocks and gauge bars, a measurement method is provided for measuring irregularly shaped parts such as dovetails, triangular parts, and pentagonal parts. This method ensures the dimensional accuracy, flatness, and symmetry of the measured workpieces and solves the problem of difficult positioning when there are no right angles on irregularly shaped parts such as triangular parts and pentagonal parts. Attached Figure Description

[0040] To more clearly illustrate the technical solutions of the embodiments of the present invention, the accompanying drawings used in the embodiments will be briefly introduced below. It should be understood that the following drawings only show some embodiments of the present invention and should not be regarded as a limitation on the scope. For those skilled in the art, other related drawings can be obtained based on these drawings without creative effort.

[0041] Figure 1 A schematic diagram illustrating the measurement of the theoretical height H2 from the corner point of the sine bar to the flat plate in the method for measuring an inclined plane using a sine bar according to an embodiment of the present invention;

[0042] Figure 2 A schematic diagram of the measurement of the inclined plane using a triangular component in the method for measuring an inclined plane with a sine bar provided in an embodiment of the present invention;

[0043] Figure 3 A schematic diagram illustrating the dimensional constraints of the first gauge bar and the first gauge block in the method for measuring inclined planes with a sine bar provided in an embodiment of the present invention;

[0044] Figure 4 A schematic diagram of the measurement of the pentagonal inclined plane in the method for measuring an inclined plane using a sine bar provided in an embodiment of the present invention;

[0045] Figure 5 This is a schematic diagram illustrating the dimension limitation of the first measuring rod in the pentagonal inclined plane measurement method provided in this embodiment of the invention.

[0046] Figure 6 A flowchart illustrating the steps of a method for measuring an inclined plane using a sine bar, as provided in an embodiment of the present invention.

[0047] Icons: 100 - Sine gauge; 110 - Auxiliary baffle; 120 - Surface; 210 - First gauge bar; 211 - Second gauge bar; 200 - First gauge block; 220 - Second gauge block; 230 - Third gauge block; 300 - First gauge block group; 310 - Second gauge block group; 400 - Lever dial indicator. Detailed Implementation

[0048] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. The components of the embodiments of the present invention described and shown in the accompanying drawings can generally be arranged and designed in various different configurations.

[0049] Therefore, the following detailed description of the embodiments of the invention provided in the accompanying drawings is not intended to limit the scope of the claimed invention, but merely to illustrate selected embodiments of the invention. All other embodiments obtained by those skilled in the art based on the embodiments of the invention without inventive effort are within the scope of protection of the invention.

[0050] It should be noted that similar labels and letters in the following figures indicate similar items. Therefore, once an item is defined in one figure, it does not need to be further defined and explained in subsequent figures.

[0051] In the description of this invention, it should be noted that if terms such as "upper," "lower," "inner," or "outer" are used to indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings, or the orientation or positional relationship in which the product of this invention is usually placed, they are only for the convenience of describing this invention and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation, and therefore should not be construed as a limitation of this invention.

[0052] Furthermore, the terms "first" and "second" are used only to distinguish descriptions and should not be interpreted as indicating or implying relative importance.

[0053] It should be noted that, where there is no conflict, the features in the embodiments of the present invention can be combined with each other.

[0054] The following is combined Figures 1 to 6 The method for measuring inclined planes using the sine gauge 100 provided in this embodiment will be described in detail.

[0055] Please refer to Figure 1 This embodiment provides a method for measuring an inclined plane using a sine bar 100. The calculation steps for the theoretical height H2 from the corner point of the sine bar to the flat plate include: placing a second measuring rod 211 on the sine bar 100, with the second measuring rod 211 tangent to the auxiliary baffle 110 and the surface 120 of the sine bar 100 respectively; and calculating the theoretical height H2 from the highest point of the second measuring rod 211 to the flat plate based on the measured distance A2M, the theoretical value α1 of the first angle to be measured, and the diameter of the second measuring rod 211. The theoretical height H2 from the sine bar corner point to the flat plate is obtained.

[0056] With a diameter of The second gauge bar 211 is placed on the sine bar 100. A height gauge is then used to measure the distance from the highest point of the second gauge bar 211 to the flat plate. Based on this value, gauge blocks are used to assemble the combined height of the gauge block group. A dial indicator 400 is then used to measure the combined height of the gauge block group and the highest point of the second gauge bar 211. If the two readings are consistent (error is zero), the combined height of the gauge block group is the distance A2M from the highest point of the second gauge bar 211 to the flat plate. If the two readings are inconsistent, the combined height of the gauge blocks needs to be readjusted until the two readings are consistent (error is zero).

[0057] The theoretical value α1 of the first angle to be measured and the diameter of the second measuring rod 211 The measured distance A2M from the highest point of the second measuring rod 211 to the plate and the theoretical height H2 from the corner point of the sine gauge to the plate are different. The obtained H2 can be used to calculate the "theoretical height H from the plane of the workpiece to be measured to the plate" mentioned below.

[0058] Reference Figure 1In this embodiment, the measurement distance A2M from the highest point of the second measuring rod 211 to the flat plate, the theoretical value α1 of the first angle to be measured, and the diameter of the first measuring rod 210 are used as the basis for the measurement. The formula for calculating the theoretical height H2 from the sine bar corner point to the plate includes:

[0059] According to the formula: O2J=O2I×sin(45°+α1), we can obtain O2J; where, we draw the altitude line O2J from the center O2 of the second round rod to the sine compass corner point, and I is the sine compass corner point;

[0060] According to the formula:

[0061] Specifically, the diameter is Place the second gauge bar 211 on the sine gauge 100, try to assemble the gauge blocks to increase the height, and use a lever dial indicator 400 to measure the height of the gauge block group and the distance A2M from the highest point of the second gauge bar 211 to the plate, so that the readings on both sides of the lever dial indicator 400 are consistent. At this time, the value of the combined height of the two groups is the distance A2M from the highest point of the gauge bar to the plate.

[0062] In the right-angled triangle △JIN, ∠JIN = α1;

[0063] In the right-angled triangle △IO2P, ∠O2IP=45°;

[0064] according to We obtain ∠O2IJ = 45° + α1;

[0065] In the right-angled triangle △O2IJ, O2J=O2I×sin(45°+α1);

[0066] From this, the height H2, the distance from the corner point of the sine bar to the precision plate, can be calculated:

[0067] Continuing from the above, by using the combination of a sine bar 100, a lever dial indicator 400, a second gauge bar 211, and a third gauge block 230, through measurement and formula: The distance H2 from the corner point of the sine gauge to the precision plate is calculated.

[0068] Reference Figures 2 to 6 This embodiment provides a method for measuring an inclined plane using a sine bar 100, including:

[0069] Step S1: Use the first gauge bar 210 and / or the first gauge block 200 to support the workpiece to be measured on the sine gauge 100, and use the second gauge block 220 to support the sine gauge 100, so as to transform the inclined surface of the workpiece to be measured into a plane.

[0070] Step S2, based on the diameter of the first measuring rod 210 The theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge is obtained by taking the thickness δ of the first gauge block 200 and / or the theoretical value α of the measured angle of the workpiece.

[0071] Step S3: Based on the theoretical height AB from the lowest point of the workpiece to be measured to the corner point of the sine gauge, the theoretical height H2 from the corner point of the sine gauge to the plate, and the height H3 of the workpiece to be measured, obtain the theoretical height H of the plane of the workpiece to be measured to the plate.

[0072] "First gauge bar 210 and / or first gauge block 200" means that, depending on the workpiece to be measured, the first gauge bar 210 can be used alone, or the first gauge block 200 can be used alone, or the first gauge bar 210 and the first gauge block 200 can be used together, with the purpose of transforming the inclined surface of the workpiece to be measured into a plane.

[0073] Based on the theoretical value α of the angle to be measured on the workpiece, the height of the second gauge block 220 is obtained. After raising the sine gauge 100, the workpiece to be measured is placed on the sine gauge 100 using the first gauge bar 210 and / or the first gauge block 200. According to steps S1 to S3, the theoretical height H from the plane to the plate of the workpiece to be measured is calculated, along with the height marked by the lever dial indicator 400 and the height of the first gauge block group 300.

[0074] Use a 400 dial indicator to measure whether the height of the plane of the workpiece to be measured is consistent with the reading of the first gauge block group 300. If they are consistent, it means that the size and angle of the workpiece to be measured meet the machining accuracy requirements.

[0075] By using a combination of gauge blocks and gauge bars, a measurement method is provided for measuring irregularly shaped parts such as dovetails, triangular parts, and pentagonal parts. This method ensures the dimensional accuracy, flatness, and symmetry of the measured workpieces and solves the problem of difficult positioning when there are no right angles on irregularly shaped parts such as triangular parts and pentagonal parts.

[0076] In this embodiment, the workpiece to be measured is a triangular piece with rounded corners; the first inclined surface of the triangular piece is in contact with the auxiliary baffle 110 of the sine gauge 100, and the first gauge block 200 supports the first gauge bar 210 so that the first gauge bar 210 is tangent to the second inclined surface of the triangular piece.

[0077] Based on the diameter of the first measuring rod 210 The formula for calculating the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge, using the thickness δ of the first gauge block 200 and / or the theoretical value α of the measured angle of the workpiece, includes:

[0078] According to the formula: The theoretical height AB from the lowest point of the workpiece to be measured to the corner point of the sine gauge is obtained;

[0079] Based on the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge, the theoretical height H2 from the corner point of the sine gauge to the plate, and the height H3 of the workpiece, the formula for calculating the theoretical height H of the plane of the workpiece to the plate includes:

[0080] According to the formula: Obtain the theoretical height H from the plane of the triangular piece to the flat plate.

[0081] Specifically,

[0082] like Figure 2 As shown, a sine bar 100 is used to measure the angles and dimensions of a triangular piece with rounded corners. First, the height H of the first gauge block group 300 is calculated according to the formula H = Lsinα, and the sine bar 100 is positioned. Because the triangular piece has rounded corners and no right angles, the first gauge rod 210 is used to assist in the measurement. At the same time, a first gauge block 200 needs to be placed between the first gauge rod 210 and the sine bar 100 baffle. This is to ensure that the point of tangency between the first gauge rod 210 and the second inclined surface of the triangular piece is on the straight edge of the triangular piece, and also to increase stability.

[0083] H1 = H2 + AB; H2 is the theoretical height from the sine compass corner point to the flat plate; H3 is the height of the equilateral triangle piece. Therefore, the height marked by the 400 lever dial indicator and the height of the gauge block group are: H1 + H3.

[0084] Indirect measurement method is used: Use a 400mm dial indicator to measure whether the dimension of the entire side of the triangular piece is consistent with the reading of the assembled gauge block set. If they are consistent, it means that the dimension and angle of the entire side of the triangular piece meet the machining accuracy requirements. Then, rotate the workpiece 120° and measure again using the same method. The error of the measurement value must be controlled within 0.01mm. In this way, the angle, symmetry and dimensional accuracy of the entire triangular piece can be guaranteed.

[0085] If the triangular piece does not have rounded corners, the first measuring rod 210 can be directly used as a shim, without the need for the first measuring block 200. The size of the first measuring rod 210 and the thickness of the first measuring block 200 are selected according to the size of the triangular piece to be measured. In other embodiments, the workpiece to be measured is a triangular piece, the first inclined surface of the triangular piece is in contact with the auxiliary baffle 110 of the sine gauge 100, and the first measuring rod 210 is tangent to the second inclined surface of the triangular piece. Even if the triangular piece does not have rounded corners, AB can still be calculated, and then the theoretical height H from the plane of the triangular piece to the flat plate can be obtained according to H = AB + H2 + H3.

[0086] Reference Figure 2 In this embodiment, according to the formula: The formulas for calculating the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge include:

[0087] According to the formula: Obtain the height OD from the center of the first round bar to the corner point of the sine compass; wherein, draw an auxiliary height line OD from the center O of the first round bar to the corner point of the sine compass, and compare it with the 120 line on the 100 surface of the sine compass at point E, OE is the height from the center O of the first round bar to point E; DE is the height from point E to the corner point of the sine compass.

[0088] According to the formula: The auxiliary elevation line OD is compared with the first circular bar at point G;

[0089] According to the formula: The theoretical height AB from the lowest point of the workpiece to be measured to the corner point of the sine gauge is obtained.

[0090] Specifically, assuming the radius of the gauge rod is R and the thickness of the shim is δ, then:

[0091] Therefore, we know that: H = AB + H2 + H3; H2 is the theoretical height from the sine compass corner point to the flat plate; H3 is the height of the equilateral triangle piece. Therefore, the height marked by the 400 lever dial indicator and the height of the gauge block group are H.

[0092] Reference Figure 3 In this embodiment, the diameter of the first measuring rod 210 is... The formula for calculating the thickness δ of the first gauge block 200 includes:

[0093] Where r is the radius of the arc of the triangular piece, and R is the radius of the inscribed circle of the triangular piece.

[0094] Specifically, assuming the diameter of the first measuring rod 210 is... The thickness of the first gauge block 200 is δ, the radius of the inscribed circle of the triangular piece is R, and the radius of the arc of the triangular piece is r. The point of tangency between the arc and the triangular piece is C3, and the distance from the point of tangency C3 to the baffle of the sine gauge 100 is A3B3; the intersection point of the first gauge bar 210 and the side of the triangular piece is D3, and the distance from the intersection point D3 to the baffle of the sine gauge 100 is E3F3; the midpoint of the side of the triangular piece is M3, and the distance from the midpoint M3 to the baffle of the sine gauge 100 is E3G3.

[0095] To ensure the accuracy of the measurement results and the stability of the triangular pieces, the intersection point D3 must be between the tangent point C3 and the midpoint M3, i.e., A3B3 < E3F3 < E3G3. Therefore, A3B3 = 1.5r. E3G3 = 1.5R; This yields... This measurement method can accurately measure the shape and angle of triangular parts, solving the problem of positioning difficulties when there are no right angles, and also provides a reference for the measurement of similar polygonal parts such as pentagonal and hexagonal parts.

[0096] Reference Figure 4 In this embodiment, the workpiece to be measured is a pentagonal piece; the first measuring rod 210 is supported between the auxiliary baffle 110 of the sine gauge 100 and the pentagonal piece, the first measuring rod 210 is tangent to the auxiliary baffle 110 of the sine gauge 100 and tangent to the inclined surface of the pentagonal piece;

[0097] Based on the diameter of the first measuring rod 210 The formula for calculating the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge, using the thickness δ of the first gauge block 200 and / or the theoretical value α of the measured angle of the workpiece, includes:

[0098] According to the formula: The theoretical height AB from the lowest point of the workpiece to be measured to the corner point of the sine gauge is obtained;

[0099] Based on the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge, the theoretical height H2 from the corner point of the sine gauge to the plate, and the height H3 of the workpiece, the formula for calculating the theoretical height H of the plane of the workpiece to the plate includes:

[0100] According to the formula: Obtain the theoretical height H from the plane of the pentagonal piece to the flat plate.

[0101] Specifically, according to the formula: H3=R1+R1 / cos36°, the height H3 of the regular pentagon is obtained, where R1 is the radius of the inscribed circle of the pentagon.

[0102] To measure the angles and dimensions of a pentagonal piece using a sine gauge 100, first, calculate the height H of the second gauge block group 310 according to the formula H = Lsinα. Position the sine gauge 100. Since the workpiece to be measured is a pentagonal piece, α is 36°. Because a pentagonal piece does not have right angles, the first gauge rod 210 is used for auxiliary measurement. The size of the first gauge rod 210 is selected according to the size of the pentagonal piece to be measured. Then, the pentagonal piece is... Figure 4 Placement method.

[0103] Specifically,

[0104]

[0105] Reference Figure 4 In this embodiment, according to the formula: The formulas for calculating the theoretical height AB from the lowest point of the workpiece to the corner point of the sine gauge include:

[0106] According to the formula: get The distance B1D1 from the corner point B1 of the sine compass to the lowest point D1 of the pentagonal piece is obtained; a perpendicular line is drawn from the center O1 of the first round bar to the surface 120 of the sine compass 100, intersecting at point C1, where B1 is the corner point of the sine compass and D1 is the lowest point of the pentagonal piece.

[0107] Indirect measurement method is used: Use a 400mm dial indicator to measure whether the dimension of the entire side of the pentagonal piece matches the reading of the assembled second gauge block set 310. If they match, it means that the dimension and angle of the entire side of the pentagonal piece meet the machining accuracy requirements. Then, rotate the workpiece 72° and measure again using the same method, ensuring that the error of the measurement value is controlled within 0.01mm. This will guarantee the angle, symmetry, and dimensional accuracy of the entire pentagonal piece.

[0108] Reference Figure 5 In this embodiment, the diameter of the first measuring rod 210 is... The calculation formulas include: Where R1 is the radius of the inscribed circle of the pentagonal piece.

[0109] Specifically, the minimum diameter of the first measuring rod 210 must not allow the corner of the pentagonal piece to contact the auxiliary baffle 110 of the sine gauge 100, nor can it exceed 2 / 3 of the side length of the pentagonal piece.

[0110] Assuming the radius of the inscribed circle of the pentagonal piece is R1, then:

[0111] The side length A4C4 of the pentagonal piece is: A4C4=2×R·tan36°=1.453R;

[0112] In the right triangle △A4B4C4, B4C4=A4C4·sin36°=0.449R;

[0113] In the right-angled triangle △O4D4C4, the radius of the measuring rod is O4D4=C4D4·tan36°=0.19R1, therefore the range of choices for the measuring rod is:

[0114] The method for measuring inclined planes using a sine bar 100 provided in this embodiment has at least the following advantages:

[0115] Breaking away from the conventional use of the 100mm sine gauge, this method utilizes a combination of the 100mm sine gauge, a 400mm lever dial indicator, gauge bars, and gauge blocks. By deriving corresponding formulas, it provides a measurement method for irregularly shaped parts such as triangular and pentagonal components, ensuring dimensional accuracy, flatness, and symmetry. The combination of gauge blocks and gauge bars solves the problem of difficult positioning for irregularly shaped parts like triangular and pentagonal components that lack right angles.

[0116] The above are merely specific embodiments of the present invention, but the scope of protection of the present invention is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in the present invention should be included within the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be determined by the scope of the claims.

Claims

1. A method of measuring a bevel with a sine bar, characterized by, The utility model relates to a sine protractor (100) and a method for measuring the angle of a workpiece (300) with a circular arc corner, comprising: a first angle bar (210) and a first angle block (200) are used to support the workpiece to be measured on the sine protractor (100), and a second angle block (220) is used to support the sine protractor (100) to convert the inclined surface of the workpiece to be measured into a plane, wherein the workpiece to be measured is a triangular workpiece with a circular arc corner; a first inclined surface of the triangular workpiece is attached to an auxiliary baffle (110) of the sine protractor (100), and the first angle block (200) supports the first angle bar (210) to make the first angle bar (210) tangent to a second inclined surface of the triangular workpiece; According to the diameter of the first weight bar (210) and the thickness δ of the first weight block (200), and the theoretical angle value α of the workpiece to be measured, the theoretical height AB from the lowest point of the workpiece to be measured to the sine rule angle point is obtained, wherein the calculation formula of the theoretical height AB from the lowest point of the workpiece to be measured to the sine rule angle point includes: According to the formula: AB = ( / 2)×{1 / cosα+(1-tanα)sinα-1}+δsinα, to obtain the theoretical height AB from the lowest point of the workpiece to be measured to the corner point of the sine gauge; a theoretical height H of the plane of the workpiece to be measured to the flat plate is obtained according to a theoretical height AB of the lowest point of the workpiece to be measured to the sine protractor corner point, a theoretical height H2 of the sine protractor corner point to the flat plate and a height H3 of the workpiece to be measured, wherein the calculation formula of the theoretical height H of the plane of the workpiece to be measured to the flat plate comprises: According to the formula: H=AB+H2+H3= ( / 2) x {1 / cos a + (1-tan a) sin a -1} + δ sin a + H2+H3, the theoretical height H of the triangular piece to the flat plate is obtained.

2. The method of sine bar measuring bevels of claim 1, wherein, The formula for calculating the theoretical height AB of the lowest point of the workpiece to the sine rule angle point is obtained according to the formula: / 2) x {1 / cos a + (1-tan a) sin a - 1} + delta sin a. According to the formula: OD = OE + DE = ( / 2)×{1 / cosα+(1-tanα)sinα}+δsinα, to obtain the height OD from the center of the first round bar to the corner point of the sine compass; where, an auxiliary height line OD is drawn from the center O of the first round bar to the corner point of the sine compass, and compared with the line (120) on the surface of the sine compass (100) at point E, OE is the height from the center O of the first round bar to point E; DE is the height from point E to the corner point of the sine compass; According to the formula: OG= / 2, the auxiliary elevation line OD is compared with the first round bar at point G; According to the formula: AB = OD - OG = ( / 2)×{1 / cosα+(1-tanα)sinα-1}+δsinα, to obtain the theoretical height AB from the lowest point of the workpiece to be measured to the corner point of the sine gauge.

3. The method of sine bar measuring bevels of claim 1, wherein, The diameter of the first weight bar (210) The calculation formula of the thickness δ of the first weight block (200) includes: 1.5r < δ + 1 / 4 <1.5R; wherein, r is the arc radius of the circular arc of the triangular piece, and R is the inscribed circle radius of the triangular piece.

4. The method of sine bar measuring bevels according to any one of claims 1-3, wherein, the calculation steps of the theoretical height H2 of the sine protractor corner point to the flat plate comprise: a second angle bar (211) is placed on the sine protractor (100), and the second angle bar (211) is tangent to the auxiliary baffle (110) and the surface (120) of the sine protractor (100) respectively; According to the measured distance A2M from the highest point of the second measuring rod (211) to the flat plate, the first angle to be measured theoretical value α1, and the diameter of the second measuring rod (211) 1, get the theoretical height H2 of the sine rule angle point to the flat plate.

5. The method of sine bar measuring bevels of claim 4, wherein, The measurement distance A2M from the highest point of the second measuring rod (211) to the flat plate, the theoretical value α1 of the first angle to be measured, and the diameter of the second measuring rod (211) are used as the basis.

1. The formula for calculating the theoretical height H2 from the sine bar corner point to the plate includes: O2J is obtained according to the formula: O2J=O2I×sin(45°+alpha1), wherein a high line O2J is drawn from the center O2 of the second angle bar to the sine protractor corner point, and I is the sine protractor corner point; According to the formula: H2 = A2M- 1 / 2-O2J = A2M- 1 / 2- (A2M- 1 / 2) x sin(45° + α1).

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