A self-made standard rod general modeling method for laser calibration

Abstract

The application belongs to the field of standard rod modeling analysis, and particularly relates to a self-made standard rod general modeling method for laser calibration. The self-made standard rod general modeling method provided by the application comprehensively considers two types of eccentricity errors of the standard tool on a tool handle, and therefore, the self-made standard rod modeling method provided by the application has good applicability and universal usability. A parameter model of the standard rod is gradually constructed based on a homogeneous coordinate transformation method, so that the model has high precision. The self-made standard rod modeling method provided by the application only needs to measure the geometric data of the standard rod by rotation on a tool pre-adjustment instrument to determine the parameter information in the model, and the operation is simple and fast.

Description

TECHNICAL FIELD

[0001] The application belongs to the field of standard rod modeling analysis, and particularly relates to a self-made standard rod general modeling method for laser calibration. BACKGROUND

[0002] The standard rod is a measuring device for calibrating a laser tool setting instrument in a numerical control machine tool. After the laser tool setting instrument is installed, the standard rod is used to calibrate the laser tool setting instrument first, so as to ensure that the laser tool setting instrument occupies a correct position in the machine tool. Before calibration, the size and geometric parameters of the standard rod must be completely known.

[0003] In an actual calibration scene, since the price of a commercial standard rod is high, an enterprise cannot equip each laser tool setting instrument with a standard rod, so an operator usually reverses a milling cutter on a tool holder to use it as a standard rod to perform calibration. The standard rod is not clear in size and geometric parameter information due to assembly errors between the cutter and the tool holder, thereby affecting the calibration result of the laser tool setting instrument. Therefore, the application provides a self-made standard rod general modeling method for laser calibration, which can establish an accurate geometric parameter model of the standard rod. SUMMARY

[0004] The application aims to provide a self-made standard rod general modeling method for laser calibration, which solves the problem that the calibration result of the laser tool setting instrument is inaccurate due to eccentricity of the standard rod used to calibrate the laser tool setting instrument in the prior art.

[0005] The application provides a self-made standard rod general modeling method for laser calibration, which is based on a self-made standard rod composed of a hard alloy rod and a tool holder coaxially assembled, and the method comprises the following steps:

[0006] establishing a tool holder coordinate system (O th X th Y th Z th ) with a coordinate origin of a reference point of the tool holder, and establishing a standard rod bottom surface coordinate system (O b X b Y b Z b ) with a coordinate origin of a center point of a bottom surface of the hard alloy rod;

[0007] converting a parametric equation of a bottom surface edge of the hard alloy rod in the standard rod bottom surface coordinate system into a parametric equation in the tool holder coordinate system;

[0008] solving an eccentricity parameter in the parametric equation of the bottom surface edge of the hard alloy rod in the tool holder coordinate system by using the tool pre-adjustment instrument.

[0009] As a preferred embodiment, the step of converting the parametric equation of the bottom edge of the hard metal rod in the standard rod bottom coordinate system into a parametric equation in the tool holder coordinate system comprises:

[0010] establishing an intermediate coordinate system (O1X1Y1Z1) and a tool holder end surface coordinate system (O h X h Y h Z h );

[0011] based on the tool holder coordinate system (O th X th Y th Z th ), the intermediate coordinate system (O1X1Y1Z1) and the tool holder end surface coordinate system (O h X h Y h Z h ), the parametric equation of the bottom edge of the hard metal rod in the standard rod bottom coordinate system is converted into a parametric equation in the tool holder coordinate system;

[0012] The eccentricity parameter in the parametric equation of the bottom edge of the hard metal rod in the tool holder coordinate system includes:

[0013] the tilt angle τ between the hard metal rod and the tool holder axis;

[0014] the tilt azimuth angle φ between the intermediate coordinate system and the X axis of the tool holder end surface coordinate system;

[0015] the offset distance ρ between the intermediate coordinate system and the origin of the tool holder end surface coordinate system;

[0016] the offset azimuth angle λ between the straight line connecting the origins of the intermediate coordinate system and the tool holder end surface coordinate system and the X axis of the tool holder end surface coordinate system.

[0017] As a preferred embodiment, the parametric equation of the bottom edge of the hard metal rod in the tool holder coordinate system (O th X th Y th Z th ) is:

[0018]

[0019] t∈(0,2π)

[0020] where L represents the length of the hard metal rod, and is the distance between the standard rod bottom coordinate system and the origin of the intermediate coordinate system, i.e. L th represents the length of the tool holder, and is the distance between the tool holder end surface coordinate system and the origin of the tool holder coordinate system.

[0021] As a preferred embodiment, the step of using the tool pre-adjustment device to solve the eccentricity parameter in the parametric equation of the bottom edge of the cemented carbide rod in the tool holder coordinate system includes:

[0022] Establish the coordinate system of the tool pre-adjustment instrument (O) ts X ts Y ts Z ts );

[0023] Install the self-made standard bar on the tool presetting device, so that the tool holder coordinate system (O) th X th Y th Z th The origin O of the coordinate system th With the tool pre-adjustment coordinate system (O) ts X ts Y ts Z ts Origin of coordinates ts Overlap, Z th With Z ts Coincident axis; denote the X-axis of the tool holder coordinate system. th X-axis and tool pre-setting coordinate system ts The angle between the axes is θ;

[0024] In the tool pre-setting coordinate system (O) ts X ts Y ts Z ts Under these conditions, determine the parametric equations for the bottom edge of the cemented carbide rod;

[0025] When measuring a self-made standard rod using a tool pre-adjustment device, the measurement point should be selected at the bottom edge of the cemented carbide rod within the X-axis. ts Z ts Find the leftmost point of the planar projection profile; determine the X coordinate of the tool holder coordinate system. th X-axis and tool pre-setting coordinate system ts When the angle between the axes is θ, the left limit point of the bottom edge of the cemented carbide rod is at X. ts Z ts The coordinates of the plane are used as the measurement results of the tool pre-adjustment instrument; the x-coordinate of the measurement results is the radius value, and the z-coordinate is the height value;

[0026] On the tool pre-adjustment device, a position at a preset height from the end face of the tool holder is selected for measurement, and this position is recorded as the first position; the offset distance ρ and offset azimuth angle λ are calculated based on the radius value of the measurement result of the first position;

[0027] measuring the edge of the bottom surface of the carbide rod on the tool presetter, and recording this position as the second position; and determining the tilt angle τ based on the radius value and the height value of the measurement results of the first position and the second position.

[0028] As a preferred embodiment, when the X th axis of the tool shank coordinate system forms an angle θ with the X ts axis of the tool presetter coordinate system, the left limit point of the edge of the bottom surface of the carbide rod on the X ts Z ts plane has the coordinates:

[0029] x tp = ρcos(θ+λ) + (Lsinτ+rcostcosτ)cos(θ+φ) - rsintsin(θ+φ)

[0030] z tp = L th +Lcosτ-rcostsinτ

[0031] wherein, x tp is taken as the value when x

[0032] As a preferred embodiment, the step of solving the offset distance ρ and the offset azimuth angle λ based on the radius value of the measurement result of the first position comprises:

[0033] on the tool presetter, rotating the self-made standard rod around the Z ts axis to change the value of θ within a preset range;

[0034] when θ takes θ max , the maximum radius x max is measured at the first position; when θ takes θ min , the minimum radius x min is measured at the first position;

[0035] The offset distance ρ is determined by the following formula:

[0036]

[0037] The offset azimuth angle λ is determined by the following formula:

[0038]

[0039] As a preferred embodiment, the step of solving the offset azimuth angle based on the radius value of the measurement result of the first position and the second position comprises:

[0040] During the rotation of the self-made standard rod, there is an angle θ n When the self-made standard rod rotates to θ n , the axis of the self-made standard rod is parallel to Y ts Z ts plane, the projection of the axis of the self-made standard rod on the X ts Z ts plane is parallel to Z ts axis; when the self-made standard rod rotates to θ n , the radius value measured at the first position is recorded as x1, and the radius value measured at the second position is recorded as x2, and x1=x2;

[0041] Solving x1=x2, we get:

[0042]

[0043] wherein,

[0044] As a preferred embodiment, the step of determining the inclination angle τ based on the radius value and the height value measured at the first position and the second position comprises:

[0045] On the basis of θ n , the self-made standard rod continues to rotate counterclockwise by 90 degrees, and at this time the rotation angle is θ The radius value measured at the first position is recorded as x'1, and the height value is z'1; the radius value measured at the second position is recorded as x'2, and the height value is z'2;

[0046] The inclination angle τ is calculated by:

[0047]

[0048] As a preferred embodiment, the tool holder coordinate system (O th X th Y th Z th ), with the reference point of the tool holder as the coordinate origin O th , the axis of the tool holder as the Z th axis, the upward direction as the positive direction; the middle plane of the tool holder key groove as the X th axis, the outward direction of the tool holder as the positive direction; the Y th axis is determined by the Cartesian right-hand rule;

[0049] The standard rod bottom surface coordinate system (O b X b Y b Z b ), with the center point of the bottom surface of the hard alloy rod as the coordinate origin O b , the axis of the hard alloy rod as the Zb axis, upward is positive direction; the horizontal moving direction of the measuring arm is X b axis, upward is positive direction; the horizontal moving direction of the measuring arm is X b axis; Y b axis is determined by the Cartesian right-hand rule.

[0050] The intermediate coordinate system (O1X1Y1Z1) takes the intersection of the axis of the cemented carbide rod and the tool shank end face as the coordinate origin O1 of the intermediate coordinate system, and the X1Y1Z1 axes are all the same as the X b Y b Z b axis direction.

[0051] The tool shank end face coordinate system (O h X h Y h Z h ) takes the intersection of the axis of the tool shank and the tool shank end face as the coordinate origin O h of the tool shank end face coordinate system, and the X h Y h Z h axis directions are all the same as the X th Y th Z th axis directions.

[0052] The tool pre-adjustment instrument coordinate system (O ts X ts Y ts Z ts ) takes the tool holder reference point of the tool pre-adjustment instrument as the coordinate origin O ts , and the axis of the tool holder is the Z ts axis, upward is positive direction; the horizontal moving direction of the measuring arm is X ts axis, the direction close to the tool holder is positive direction; Y ts axis is determined by the Cartesian right-hand rule.

[0053] Compared with the prior art, the self-made standard rod universal modeling method has the following beneficial effects: the self-made standard rod universal modeling method considers two types of eccentricity errors of the standard tool on the tool shank, so that the self-made standard rod universal modeling method has good applicability and universality. The parameter model of the standard rod is gradually constructed based on the homogeneous coordinate transformation method, so that the model has high precision. The self-made standard rod universal modeling method only needs to rotate the geometric data of the standard rod on the tool pre-adjustment instrument to determine the parameter information in the model, so that the operation is simple and fast. BRIEF DESCRIPTION OF DRAWINGS

[0054] Figure 1 is a schematic diagram of the self-made standard rod in the application;

[0055] Figure 2 is the schematic diagram of the tool pre-adjustment instrument and its coordinate system in the application;

[0056] Figure 3 is the schematic diagram of measuring the self-made standard rod using the tool pre-adjustment instrument in the application;

[0057] Figure 4 is the schematic diagram of the protractor in the application;

[0058] Figure 5 is the comparison diagram of simulation and test results of the X coordinate value of the self-made standard rod in the application;

[0059] Figure 6 is the comparison diagram of simulation and test results of the Z coordinate value of the self-made standard rod in the application;

[0060] 1, hard alloy rod; 2, tool handle; 3, tool holder; 4, measuring arm; 5, tool pre-adjustment instrument; 6, protractor. DETAILED DESCRIPTION

[0061] In the description of the application, it should be understood that the orientations or positional relationships indicated by the terms "center", "longitudinal", "transverse", "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer" and the like are based on the orientations or positional relationships shown in the drawings, and are only for the convenience of describing the application and simplifying the description, and therefore cannot be understood as indicating or implying that the devices or elements indicated must have a particular orientation, be constructed and operated in a particular orientation, and therefore cannot be understood as limiting the application. In addition, the terms "first", "second", and the like are only for description purposes and cannot be understood as indicating or implying relative importance or implicitly indicating the number of the technical features indicated. Therefore, the features limited by "first", "second", and the like can explicitly or implicitly include one or more of the features. In the description of the application, unless otherwise specified, the meaning of "multiple" is two or more. In the description of the application, it should be noted that, unless otherwise specified and limited, the terms "mounting", "connection", "connection" should be understood broadly, for example, it can be fixedly connected, or it can be detachably connected, or integrally connected; it can be mechanically connected, or it can be electrically connected; it can be directly connected, or it can be indirectly connected through an intermediate medium, or it can be the communication between two elements. For those skilled in the art, the specific meaning of the above terms in the application can be understood through specific circumstances.

[0062] The application will be further described below in conjunction with the drawings. The following examples are only used to more clearly illustrate the technical solutions of the application, and cannot be used to limit the protection scope of the application.

[0063] Example 1

[0064] In order to make the purpose, technical solutions and advantages of the present application more clear, the technical solutions in the present application will be described clearly and completely below in combination with the drawings in the present application. The self-made standard rod is composed of a hard alloy rod 1 and a tool holder 2. Since there is an assembly error between the hard alloy rod 1 and the tool holder 2, the axis of the hard alloy rod 1 does not coincide with the axis of the tool holder 2, resulting in two types of eccentric errors, i.e. inclination and offset between the axes. In order to accurately construct the parameter model of the self-made standard rod, the two types of eccentric errors are comprehensively considered. First, a tool holder coordinate system (O th X th Y th Z th ) is established, with the reference point of the tool holder 2 as the coordinate origin O th , the axis of the tool holder 2 as the Z th axis, the upward direction as the positive direction; the middle plane of the tool holder key groove as the X th axis, the outward direction of the tool holder 2 as the positive direction; and the Y th axis is determined by the Cartesian right-hand rule. Further, a standard rod bottom surface coordinate system (O b X b Y b Z b ) is established, with the center point of the bottom surface of the hard alloy rod 1 as the coordinate origin O b , the axis of the hard alloy rod 1 as the Z b axis, the upward direction as the positive direction; the axis formed along the inclination direction of the rod axis from the O b point as the X b axis; and the Y b axis is determined by the Cartesian right-hand rule. See Figure 1 .

[0065] At this time, the homogeneous coordinate parameter equation of the bottom surface edge of the hard alloy rod 1 in the standard rod bottom surface coordinate system (O b X b Y b Z b ) is:

[0066]

[0067] In order to obtain the parameter equation of the bottom surface edge of the hard alloy rod 1 in the tool holder coordinate system (O th X th Y th Z th ), a middle coordinate system (O1X1Y1Z1) and a tool holder end surface coordinate system (O h X h Y h Z hThe origin O1 of the intermediate coordinate system is the intersection of the axis of the carbide rod 1 and the end face of the tool holder 2. Its X1Y1Z1 axes are all perpendicular to the X... b Y b Z b The axes are in the same direction. The origin O of the coordinate system for the tool holder end face is the intersection of the axis of tool holder 2 and the end face of tool holder 2. h , its X h Y h Z h The axial direction is the same as X th Y th Z th The axes are in the same direction. From the coordinate system of the base surface of the standard bar (O... b X b Y b Z b The homogeneous transformation matrix for transforming to the intermediate coordinate system (O1X1Y1Z1) is:

[0068]

[0069] Where L represents the distance between the coordinate system of the bottom surface of the standard bar and the origin of the intermediate coordinate system, that is, the length of the cemented carbide bar.

[0070] Tool holder end face coordinate system (O) h X h Y h Z h Transform to toolholder coordinate system (O) th X th Y th Z th The homogeneous transformation matrix of ) is:

[0071]

[0072] Among them, L th This represents the distance between the coordinate system of the tool holder end face and the origin of the tool holder coordinate system, i.e., the length of the tool holder.

[0073] Transform from the intermediate coordinate system (O1X1Y1Z1) to the tool holder end face coordinate system (O h X h Y h Z h The homogeneous transformation matrix of ) is:

[0074]

[0075] Wherein, τ is the angle between the axis of the cemented carbide rod 1 and the axis of the tool holder 2, i.e., the tilt angle;

[0076] φ is the angle between the X-axis of the intermediate coordinate system and the coordinate system of the tool holder end face, i.e., the tilt azimuth angle;

[0077] p is the distance between the origin of the intermediate coordinate system and the origin of the tool holder end face coordinate system, i.e. the offset distance;

[0078] λ is the angle between the straight line connecting the origins of the intermediate coordinate system and the tool holder end face coordinate system and the X axis of the tool holder end face coordinate system, i.e. the offset azimuth.

[0079] In summary, the parametric equation of the bottom edge of the hard alloy rod 1 in the tool holder coordinate system (O th X th Y th Z th ) is:

[0080]

[0081] Further, the eccentricity parameter contained in the equation is solved. The specific method is to establish a tool presetting instrument coordinate system (O ts X ts Y ts Z ts ) based on the tool presetting instrument, taking the reference point of the tool holder 3 of the tool presetting instrument as the coordinate origin O ts , and the axis of the tool holder 3 as the Z ts axis, with the upward direction as the positive direction; the horizontal movement direction of the measuring arm 4 as the X ts axis, with the direction close to the tool holder as the positive direction; and the Y ts axis determined by the Cartesian right-hand rule. See Figure 2 . Install the self-made standard rod on the tool presetting instrument. At this time, the coordinate origin O th of the tool holder coordinate system (O th X th Y th Z th ) coincides with the coordinate origin O ts of the tool presetting instrument coordinate system (O ts X ts Y ts Z ts ), and the Z th axis coincides with the Z ts axis. See Figure 3 . When the self-made standard rod is installed on the tool presetting instrument, the X th axis of the tool holder coordinate system will form an angle with the X ts axis of the tool presetting instrument coordinate system, denoted as θ. Then the homogeneous transformation matrix of the coordinate system from the tool holder coordinate system (O th X th Y th Z th ) to the tool presetting instrument (O ts X ts Y ts Z ts ) coordinate system is:

[0082]

[0083] In the coordinate system of the tool presetter, the parametric equation of the bottom edge of the cemented carbide rod 1 is:

[0084]

[0085] When measuring the self-made standard rod using the tool presetter, the measurement points are selected from the bottom edge of the cemented carbide rod 1 in the X ts Z ts plane of the tool presetter coordinate system. The projection matrix of the leftmost point of the plane profile is: ts Z ts

[0086]

[0087] The parametric equation of the projection curve of the bottom edge of the cemented carbide rod 1 in the X ts Z ts plane of the tool presetter coordinate system is:

[0088]

[0089] In order to obtain the limit point of the projection curve in the X ts axis direction, let From equation (9), we can get

[0090] Then when the angle between the X th axis of the tool holder coordinate system and the X ts axis of the tool presetter coordinate system is θ, the measurement result of the left limit point of the bottom edge of the cemented carbide rod 1 on the tool presetter is:

[0091]

[0092] Wherein, Take the value of x tp when x tp is less than 0.

[0093] After installing the self-made standard rod on the tool presetter, the angle θ can be changed around the Z th axis of the tool holder coordinate system. At the same time, in order to accurately express the size of the angle θ, the protractor 6 is installed on the tool holder 3, and the 0 scale line of the protractor 6 is aligned with the positive direction of the X ts axis of the tool presetter coordinate system. See Figure 3 and Figure 4 . By rotating to change the size of θ, the tool presetter can be used to accurately measure the geometric data of each position point on the bottom edge of the cemented carbide rod 1.

[0094] Further, the position of 1mm height from the end face of the tool holder is selected on the tool presetter for measurement, and the position is recorded as the first position. Since the first position is close to the end face of the tool holder, the inclination of the hard alloy rod 1 on the tool holder can be ignored, and the main error is the offset error. On the tool presetter, the self-made standard rod is rotated around the Z ts axis to change the value of θ. When θ takes θ max , the maximum radius x max at the first position is measured; when θ takes θ min , the minimum radius x min at the first position is measured.

[0095] The offset distance ρ can be determined by the following formula:

[0096]

[0097] The offset azimuth angle λ is:

[0098]

[0099] Further, the edge of the bottom surface of the hard alloy rod 1 is selected for measurement, and the position is recorded as the second position. During the rotation of the self-made standard rod, there is a division angle θ n , when the measurement rod is rotated to θ n , the axis is parallel to the Y ts Z ts plane, the projection of the axis of the self-made standard rod on the X ts Z ts plane is parallel to the Z ts axis. At this time, the radius value measured at the first position is recorded as x1; the radius value measured at the second position is recorded as x2, and x1=x2. Then, formula (10) is obtained:

[0100]

[0101] Since the first position and the second position are at different heights, L1 and L2 are the distances from the first position and the second position to the top surface of the hard alloy rod, respectively, and L1 and L2 are different in size, and because x1=x2, the relationship between the offset azimuth angle φ and θ n is:

[0102]

[0103] wherein,

[0104] Further, on the basis of θ n , the self-made standard rod is further rotated counterclockwise by 90 degrees, and the angle is θ The radius value measured at the first position is x1', and the height is z1'. The radius value measured at the second position is x'2, and the height is z'2.

[0105] The coordinate values at the two positions can be obtained from formula (10):

[0106]

[0107] The tilt angle τ can be determined by the following formula:

[0108]

[0109] In order to verify the correctness of the model established by the present application, MATLAB and SolidWorks are used for simulation comparison test. First, a set of self-made standard rod geometric dimensions and eccentric parameters are given, and the model is constructed in SolidWorks. By rotating the self-made standard rod, the θ angle is continuously changed, and the measuring function is used to measure the bottom edge of the hard alloy rod 1 in the tool pre-adjustment instrument coordinate system X ts Z ts The coordinate value of the left limit point (X ts axis direction) of the in-plane projection curve, the measured results are compared with the MATLAB simulation calculation results, and the results are as follows: Figure 5 and Figure 6 It can be seen that with the change of the angle θ, the two groups of results still maintain a high consistency. Among them, the maximum relative error of the X coordinate value is about 1.5%, and the maximum relative error of the Z coordinate value is 0.023%. It is proved that the model established by the present application has high precision and stability.

[0110] The above is only the preferred embodiment of the present application, it should be pointed out that, for the ordinary skilled in the art, without departing from the technical principles of the present application, can make a number of improvements and deformation, these improvements and deformation should also be considered as the protection scope of the present application.

Claims

1. A general modeling method for self-made standard rods for laser calibration, characterized in that, The method, based on a self-made standard bar coaxially assembled from a carbide rod and a tool holder, includes: Establish a tool holder coordinate system (O) with the origin of the reference point of the tool holder. th X th Y th Z th A standard rod bottom surface coordinate system (O) is established with the center point of the bottom surface of the cemented carbide rod as the origin. b X b Y b Z b ); The parametric equations of the bottom edge of the cemented carbide rod in the standard rod bottom coordinate system are converted into parametric equations in the tool holder coordinate system. The eccentricity parameter in the parametric equation of the bottom edge of the cemented carbide rod in the tool holder coordinate system is solved using a tool pre-adjustment device. The step of converting the parametric equation of the bottom edge of the cemented carbide rod in the standard rod bottom coordinate system into the parametric equation in the tool holder coordinate system includes: Establish an intermediate coordinate system (O1X1Y1Z1) and a tool holder end face coordinate system (O1X1Y1Z1). h X h Y h Z h ); Based on the tool holder coordinate system (O) th X th Y th Z th ), intermediate coordinate system (O1X1Y1Z1) and tool holder end face coordinate system (O h X h Y h Z h The parametric equations of the bottom edge of the cemented carbide bar in the standard bar bottom coordinate system are converted into parametric equations in the tool holder coordinate system. The eccentricity parameters in the parametric equation of the bottom edge of the cemented carbide rod in the tool holder coordinate system include: Tilt angle, the angle between the carbide bar and the axis of the tool holder τ ; The tilt azimuth angle, the angle between the X-axis of the intermediate coordinate system and the tool holder end face coordinate system. φ ; Offset distance, the distance between the origin of the intermediate coordinate system and the origin of the tool holder end face coordinate system. ρ ; Offset azimuth angle, the angle between the straight line connecting the two origins of the intermediate coordinate system and the tool holder end face coordinate system and the X-axis of the tool holder end face coordinate system. λ; The bottom edge of the carbide rod is in the tool holder coordinate system (O) th X th Y th Z th The parametric equations under () are: in, L The length of the cemented carbide rod is the distance between the origin of the coordinate system at the bottom of the standard rod and the origin of the intermediate coordinate system. L th The length of the tool holder is the distance between the coordinate system of the tool holder end face and the origin of the tool holder coordinate system.

2. The general modeling method for self-made standard rods for laser calibration according to claim 1, characterized in that, The steps for solving the eccentricity parameter in the parametric equation of the bottom edge of the cemented carbide rod in the tool holder coordinate system using the tool pre-adjustment device include: Establish the coordinate system of the tool pre-adjustment instrument (O) ts X ts Y ts Z ts ); Install the self-made standard bar on the tool presetting device, so that the tool holder coordinate system (O) th X th Y th Z th The origin O of the coordinate system th With the tool pre-adjustment coordinate system (O) ts X ts Y ts Z ts Origin of coordinates ts Overlap, Z th With Z ts Coincident axis; denote the X-axis of the tool holder coordinate system. th X-axis and tool pre-setting coordinate system ts The angle between the axes is θ ; In the tool pre-setting coordinate system (O) ts X ts Y ts Z ts Under these conditions, determine the parametric equations for the bottom edge of the cemented carbide rod; When measuring a self-made standard rod using a tool pre-adjustment device, the measurement point should be selected at the bottom edge of the cemented carbide rod within the X-axis. ts Z ts Find the leftmost point of the planar projection profile; determine the X coordinate of the tool holder coordinate system. th X-axis and tool pre-setting coordinate system ts The angle between the axes is θ At that time, the left limit point of the bottom edge of the cemented carbide rod is at X. ts Z ts The coordinates of the plane are used as the measurement results of the tool pre-adjustment instrument; the x-coordinate of the measurement results is the radius value, and the z-coordinate is the height value; A measurement is taken at a preset height from the end face of the tool holder on the tool pre-adjustment device, and this position is recorded as the first position; the offset distance is calculated based on the radius value of the measurement result at the first position. ρ and offset azimuth angle λ; The edge of the bottom surface of the carbide rod is selected on the tool pre-adjustment device for measurement, and this position is recorded as the second position; the offset azimuth angle is calculated based on the radius values ​​of the measurement results of the first and second positions. φ The tilt angle is determined based on the radius and height values ​​measured at the first and second positions. τ .

3. The general modeling method for self-made standard rods for laser calibration according to claim 2, characterized in that, When the X of the tool holder coordinate system th X-axis and tool pre-setting coordinate system ts The angle between the axes is θ At that time, the left limit point of the bottom edge of the cemented carbide rod is at X. ts Z ts Coordinates of the plane: in, ,Pick x tp The value when it is less than 0.

4. The general modeling method for self-made standard rods for laser calibration according to claim 2, characterized in that, The offset distance is calculated based on the radius value of the measurement result at the first position. ρ and offset azimuth angle λ The steps include: On the tool presetter, around Z ts A self-made standard bar is rotated along an axis to change within a preset range. θ value; when θ Pick θ max At that time, the maximum radius was measured at the first position. x max ;when θ Pick θ min At that time, the minimum radius was measured at the first position. x min ; The offset distance ρ Determined by the following formula: The offset azimuth angle λ is determined by the following formula: 。 5. The general modeling method for self-made standard rods for laser calibration according to claim 2, characterized in that, The offset azimuth angle is calculated by using the radius value based on the measurement results of the first and second positions. φ The steps include: The homemade standard bar has a division angle during rotation. θ n When the homemade standard rod rotates to θ n At that time, the axis of the self-made standard bar was parallel to Y. ts Z ts Plane, the axis of the homemade standard bar is in the X ts Z ts Projection of a plane and Z ts The axis is parallel; the self-made standard bar is rotated to... θ n At that time, the radius value measured at the first position is recorded as . x 1; The radius value measured at the second location is recorded as x 2, and x 1= x 2; Depend on x 1= x 2. Solving for the answer, we get: in, .

6. The general modeling method for self-made standard rods for laser calibration according to claim 5, characterized in that, The tilt angle is determined based on the radius and height values ​​measured at the first and second positions. τ The steps include: In the θ n Based on this, the self-made standard rod is rotated 90 degrees counterclockwise. At this point, the rotation angle is... Record the radius measured at the first position as . The height value is The radius measured at the second location is [value missing]. The height value is ; The tilt angle τ Calculated by the following formula: 。 7. The general modeling method for self-made standard rods for laser calibration according to claim 2, characterized in that, The tool holder coordinate system (O) th X th Y th Z th (The reference point of the tool holder is taken as the origin O of the coordinate system.) th The axis of the tool holder is Z. th The axis is upward, with the positive direction being upward; the middle plane of the tool holder keyway is X. th The axis, with the positive direction being towards the outside of the tool holder; Y th The axis is determined using Cartesian right-hand rule; The coordinate system of the bottom surface of the standard bar (O) b X b Y b Z b The origin O is defined by the center point of the bottom surface of the cemented carbide rod. b The axis of the cemented carbide rod is Z. b The axis, with upward as the positive direction; from O b Starting from point X, the axis formed along the inclined direction of the bar stock axis is taken as X. b Axis; Y b The axis is determined using Cartesian right-hand rule; The intermediate coordinate system (O1X1Y1Z1) takes the intersection of the axis of the carbide rod and the end face of the tool holder as its origin O1, and its X1Y1Z1 axes are all perpendicular to the X... b Y b Z b The axes are in the same direction; The coordinate system of the end face of the tool holder (O) h X h Y h Z h The origin O of the coordinate system for the tool holder end face is the intersection of the tool holder axis and the tool holder end face. h , its X h Y h Z h The axial direction is the same as X th Y th Z th The axes are in the same direction; The tool pre-adjustment coordinate system (O) ts X ts Y ts Z ts The origin O is set to the tool holder reference point of the tool pre-setting device. ts The axis of the tool holder is Z. ts The axis is upward, with the positive direction being upward; the horizontal movement direction of the measuring arm is X. ts The axis, with the direction closest to the tool holder being the positive direction; Y ts The axis is determined using the Cartesian right-hand rule.

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