OBJECT SURFACE EVALUATION METHOD, EVALUATION DEVICE, WORKPIECE MACHINING METHOD USING SAID EVALUATION METHOD, AND MACHINE TOOL
20200192333 ยท 2020-06-18
Inventors
- Ryuta SATO (Kobe-shi, Hyogo, JP)
- Takumi NAKANISHI (Kobe-shi, Hyogo, JP)
- Mitsunari ODA (Aiko-gun, Kanagawa, JP)
- Nobu NAKAYAMA (Aiko-gun, Kanagawa, JP)
Cpc classification
G05B19/401
PHYSICS
G01N21/8851
PHYSICS
G05B19/18
PHYSICS
Y02P90/02
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
International classification
G05B19/4093
PHYSICS
Abstract
A parameter indicating a surface property of an object surface is plotted on the horizontal axis, a normal direction change rate of the shape of the object surface is plotted on the vertical axis, the minimum normal direction change rate visible to a person is associated with the parameter indicating the surface property of the object surface to create a visible area map, the relationship between the parameter indicating the surface property of a machining surface of a workpiece, and the maximum value of the normal direction change rate of the shape of the machining surface of the workpiece is displayed on the visible area map, and the object surface is evaluated.
Claims
1. An object surface evaluation method for evaluating an object surface, characterized by the steps of: creating a visible area map by setting a parameter representing a surface property of the object surface as a first axis, setting a normal direction change rate of a shape of the object surface as a second axis, and relating a minimum normal direction change rate visible to a person with the parameter representing the surface property of the object surface, and displaying the relationship between the parameter representing the surface property of the object surface and a maximum value of the normal direction change rate of the object surface on the visible area map.
2. The method according to claim 1, wherein the parameter representing the surface property of the object surface is a root mean square slope.
3. The method according to claim 1, wherein the normal direction change rate of the shape of the object surface is obtained by extracting only spatial frequency components which are visually recognizable by a person from a geometric normal direction change rate of the shape of the object surface.
4. The method according to claim 1, wherein the object surface is a machined surface formed on a workpiece.
5. An object surface evaluation device for evaluating an object surface, comprising: a visible area map storage unit for storing a minimum normal direction change rate visible to a person in association with a parameter representing a surface property of the object surface, a normal direction change rate calculation unit for calculating a normal direction change rate across the entirety of a target evaluation surface based on data related to a shape of the target evaluation surface, a surface roughness parameter calculation unit for calculating a parameter representing the surface roughness across the entirety of the target evaluation surface based on the data related to the shape of the target evaluation surface, and a plotting unit for generating a visible area map representing the minimum normal direction change rate visible by a person stored in the visible area map storage unit by setting the parameter representing the surface property of the object surface as a first axis, and setting the normal direction change rate of the shape of the object surface as a second axis, and for plotting on the visible area map and displaying on a display unit a maximum value of the normal direction change rate and a parameter representing the surface roughness of a part of the object surface presenting the maximum value from calculation results of the normal direction change rate calculation unit and the surface roughness parameter calculation unit.
6. The device according to claim 5, wherein the surface roughness parameter is a root mean square slope.
7. The device according to claim 5, wherein the normal direction change rate of the shape of the object surface is obtained by extracting only spatial frequency components which are visually recognizable by a person from a geometric normal direction change rate of the shape of the object surface.
8. The device according to claim 5, wherein the object surface is a machined surface formed on a workpiece.
9. A method for machining a workpiece, comprising the steps of: creating a visible area map by setting a parameter representing a surface property of an object surface as a first axis, setting a normal direction change rate of a shape of the object surface as a second axis, and relating a minimum normal direction change rate visible to a person with the parameter representing the surface property of the object surface, displaying the relationship between a parameter representing a surface property of a machined surface of a workpiece and a maximum value of the normal direction change rate of the machined surface of the workpiece on the visible area map, and changing a tool condition, machining condition, or control parameter so as to change one or both of the parameter representing the surface property of the machined surface of the workpiece and the normal direction change rate of the shape of the object surface.
10. The method according to claim 9, wherein the parameter representing the surface property of the object surface is a root mean square slope.
11. The method according to claim 9, wherein the normal direction change rate of the shape of the object surface is obtained by extracting only spatial frequency components which are visually recognizable by a person from a geometric normal direction change rate of the shape of the object surface.
12. A machine tool which includes a feed device having at least three orthogonal axes, and which machines a workpiece by moving a tool mounted on a spindle and the workpiece relative to each other, the machine tool comprising: a visible area map storage unit for storing a minimum normal direction change rate visible by a person in association with a parameter representing a surface property of the object surface, a normal direction change rate calculation unit for calculating a normal direction change rate across the entirety of a target evaluation surface based on data related to a shape of the target evaluation surface, a surface roughness parameter calculation unit for calculating a parameter representing the surface roughness across the entirety of the target evaluation surface based on data related to the shape of the target evaluation surface, a plotting unit for generating a visible area map representing the minimum normal direction change rate visible to a person stored in the visible area map storage unit by setting the parameter representing the surface property of the object surface as a first axis, and setting the normal direction change rate of the shape of the object surface as a second axis, and plotting on the visible area map and displaying on a display unit a maximum value of the normal direction change rate and a parameter representing the surface roughness of a part of a machined surface of the workpiece presenting the maximum value from calculation results of the normal direction change rate calculation unit and the surface roughness parameter calculation unit, and a parameter change unit for changing a tool condition, a machining condition, or a control parameter so as to change one or both of a parameter representing a surface property of the machined surface of the workpiece and the normal direction change rage of the shape of the object surface.
13. The machine tool according to claim 12, wherein the parameter representing the surface property of the object surface is a root mean square slope.
14. The machine tool according to claim 12, wherein the normal direction change rate of the shape of the object surface is obtained by extracting only spatial frequency components which are visually recognizable by a person from a geometric normal direction change rate of the shape of the object surface.
Description
BRIEF DESCRIPTION OF DRAWINGS
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DESCRIPTION OF EMBODIMENTS
[0030] Preferred embodiments of the present invention will be described below with reference to the attached drawings.
[0031] With reference to
[0032] The machined surface evaluation device 10 can further comprise a parameter change unit 24 and an input device 26. The input device 26 can be, for example, a keyboard, a mouse, or can be the touch panel constituting the display unit 22. The parameter change unit 24 issues commands for changing parameters to the machined surface data generation unit 12 or the NC device 30 of the machine tool in accordance with commands input by the operator via the input device 26. Parameters for which change commands are issued to the machined surface data generation unit 12 include tool conditions such as tool type, tool diameter, and optimal cutting speed, and machining conditions such as pick feed amount, feed speed, and spindle rotation speed. Parameters for which change commands are issued to the NC device 30 include control parameters such as acceleration/deceleration time constants, backlash correction, and gain in feed shaft feedback control.
[0033] The machined surface data generation unit 12 generates data related to the shape of the machined surface of the workpiece after machining, and data related to the properties of the machined surface. The data related to the machined shape and the data related to the properties of the machined surface can be calculated by a calculation device such as a simulator based on a machining program from the CAM. Alternatively, a workpiece may be actually machined by a machine tool in accordance with the machining program, and data obtained by measuring the machined surface may be used as the data related to the machined shape and properties of the machined surface.
[0034] The surface roughness parameter calculation unit 14 calculates the property parameter of the machined surface (object surface), in particular, the surface roughness parameter of the machined surface (object surface), based on the data related to the properties of the machined surface (object surface) from the machined surface data generation unit 12. The root mean square slope R.sub.dq prescribed in, for example, JIS B0601, can be used as the surface roughness parameter.
[0035] The normal direction change rate calculation unit 16 calculates the normal direction change rate of the machined surface (object surface) based on the machined surface (object surface) data from the machined surface data generation unit 12. The normal direction change rate will be described with reference to
[0036] Set points 40 are set at predetermined intervals on the machined surface (object surface) of the workpiece W. Next, normal vectors n.sub.i are set perpendicular to the slope of the surface at the set points 40. The normal vector n.sub.i is the normal vector of the i.sup.th set point 40. The angle .sub.i of the normal direction is set for the normal vector n.sub.i. The angle with respect to the Z-axis is set as the angle .sub.i of the normal direction.
[0037] In
[0038] .sub.i is the angle of the normal direction the i.sup.th set point
[0039] The normal direction change rate calculation unit 16 calculates the normal direction change rate at the set point 40. The normal direction change rate is the change rate of the angle of the normal direction of mutually adjacent set points. An example thereof is the change rate of the angle .sub.i of the normal direction and the angle .sub.i+1 of the normal direction. The normal direction change rate can be calculated by the following formula (2). The following formula (2) represents the normal direction change rate of the i.sup.th set point 40 of the design shape. The normal direction change rate of the evaluation target shape can be calculated by the same method. Note that, it is geometrically clear that the change rate in the normal direction is the same as the change rate in the tangential direction of the machined surface.
[0040] d.sub.i/dx is the normal direction change rate.
[0041] The visible area map storage unit 18 stores the range of normal direction change rate in which the shape change of the machined surface (object surface) is visually recognizable in the form of a two-dimensional map (visible area map) in a relationship with the surface roughness parameter. The visible area map will be described.
[0042] A person recognizes the shape or texture of an object by sensing the intensity (luminance) of light reflected by the object surface.
[0043] The sum of the scattered light, the specularly reflected light, and the absorbed light cannot be greater than the total amount of incident light. In other words, when all of the light is reflected as scattered light, the reflected light is transmitted in all directions regardless of the direction or shape of the object surface, whereby the direction or shape of the object surface cannot be visually recognized. Conversely, if the component reflected as the scattered light is small and the amount of the specularly reflected component is large, it becomes easy to visually recognize the direction and shape of the object surface.
[0044] For example, in a surface which has been mechanically finished by cutting or the like, in many cases, the amplitude and/or wavelength of the surface roughness curve is larger than the wavelength of light. In such a case, light incident on the object surface is irregularly reflected by the unevenness of the surface. Such a case is schematically shown in
[0045] The angular distribution of reflected light can be geometrically calculated from the roughness curve of the object surface. An example in which a reflected light angular distribution is calculated from measurement of the roughness curve of a metal surface which has been finished by cutting is shown in
[0046] The relationship between the magnitude of the wavelength of a shape change and the visual recognition thereof can be roughly classified as follows, assuming observation by the naked eye of a person.
[0047] Wavelengths on the order of hundreds of nm or less.fwdarw.scattered light;
[0048] wavelengths on the order of hundreds of nm to hundreds of m.fwdarw.diffuse light; and
[0049] wavelengths on the order of hundreds of m or more.fwdarw.shape change.
[0050] In the present invention, shape change means an intentional or locally generated step or shape error, and surface roughness means a periodic unevenness of several hundred m or less in wavelength extending across the entirety or a certain range of an object surface.
[0051] A visible area map representing the state of the object surface according to the present invention is schematically shown in
[0052] In the visible area map of the present invention, the first axis or the horizontal axis represents the parameter representing surface roughness, and the second axis or the vertical axis represents the normal direction change rate of the shape. The first and second axes may be interchanged, and the vertical axis may represent the parameter representing surface roughness and the horizontal axis may represent the normal direction change rate. As described in Patent Literature 2, changes in the normal direction of the shape can be visually recognized by a person as changes in luminance. If the surface roughness is large, as shown in
[0053] In
[0054] An example of the method for determining the boundary line BL.sub.cv will be described below.
[0055] The relationship between the surface roughness of a machined surface (object surface) and the reflected angular distribution of the reflected light can be represented by a Beckmann distribution (formula (3)) as described in Non-Patent Literature 1.
[0056] D represents the reflected light intensity in accordance with angle, represents the direction of the machined surface (object surface), and m is the parameter representing the surface roughness of the machined surface (object surface). For example, the root mean square slope R.sub.dq determined in accordance with JIS B0601 can be used as m.
[0057]
[0058] The change rate of the direction of the machined surface (object surface) depending on position in formula (3) is equivalent to the normal direction change rate of the machined surface (object surface). As a result, the change rate of the reflection intensity D is equivalent to the change rate of the luminance of the machined surface (object surface) recognized by a person. From formula (3), the relationship between the normal direction change rate of the shape and the change rate of the luminance L of the reflected light can be derived as follows.
[0059] When the change rate of the luminance of the reflected light is constant, and formula (4) is rearranged as the relationship between the parameter m representing the surface roughness and the normal direction change rate of the shape of the machined surface (object surface), formula (5) is obtained. Formula 5 represents the normal direction change rate necessary for a constant luminance change rate to occur when the horizontal axis is the parameter m representing the surface roughness.
[0060] In formula (5), A and B are constants determined in accordance with the material of the evaluation target object (workpiece) and the state of the incident light. For example, A and B can be determined by creating workpieces for evaluation as shown in Patent Document 2 or Non-Patent Document 2, and determining the relationship between the normal direction change rate and the luminance change rate from the photographic results. When the normal direction change rate and luminance change rate at this time are used as the normal direction change rate and luminance change rate visible by a person to determine constants A and B of formula (5), the curve represented by formula (5) is the minimum normal direction change rate visible to a person, which represents the boundary at which a shape change can or cannot be visually recognized by a person. This normal direction change rate is obtained by extracting only spatial frequency components which are visually recognizable by a person from the geometrical normal direction change rate of the shape of the machined surface (object surface) defined by formula (2). Note that the range of spatial frequency components which are visually recognizable by a person may be determined based on an ophthalmologic contrast sensitivity curve or may be determined using a shape separately prepared for evaluation.
[0061]
[0062] Though the visible area map can be analytically determined in this manner, as shown in
[0063] The plotting unit 20 plots the maximum value of the normal direction change rate and the parameter representing the surface roughness of portions of the machined surface (object surface) of the workpiece imparting the maximum value on a visible area map based on calculation results of the surface roughness parameter calculation unit 14 and the normal direction change rate calculation unit 16, and data related to the visible area map received from the visible area map storage unit 18, and displays the same on the display unit 22. As a result, it can be explicitly shown whether the shape change is visually recognizable.
[0064] The operator of the CAM or the operator of the machine tool for machining the workpiece using the machining program created by the CAM can determine whether or not the shape change of the machined surface (object surface) of the workpiece is visually recognizable by referring to the visible area map displayed on the display unit 22. For example, when visual recognition of the shape change of the machined surface (object surface) is not desired, or conversely when visual recognition is desired, by changing the tool conditions, machining conditions, or control parameters via the input device 26 and parameter change unit 24, the relationship between the parameter representing the surface roughness of the machined surface (object surface) and the normal direction change rate can be shifted to the area in which the shape change can be recognized or the area in which the shape change cannot be recognized on the visible area map of
[0065] In the case in which visual recognition of shape change is not desired, when the points plotted on the visible area map by the plotting unit 20 are within the visible area, i.e., when the points are above the boundary line BL.sub.cv, by changing one or both of the normal direction change rate and the parameter representing surface roughness, as shown in
[0066] Conversely, in the case in which visual recognition of shape change is desired, when the plotted points are outside of the visible area, by changing one or both of the normal direction change rate and the parameter representing surface roughness, as shown in
[0067] Next, an application example of a machined surface (object surface) evaluation device 10 according to the present invention will be described with reference to
[0068] In the machine tool 50 of
[0069] The drive mechanism 52 comprises, for example, X-axis, Y-axis, and Z-axis ball screws (not illustrated), nuts (not illustrated) for engagement with the ball screws, X-axis, Y-axis, and Z-axis drive motors Mx, My, and Mz consisting of servomotors connected to one end of each of the X-axis, Y-axis, and Z-axis ball screws for rotationally driving the X-axis, Y-axis, and Z-axis ball screws. Furthermore, in addition to the three orthogonal feed axes of the X-axis, Y-axis, and Z-axis, the machine tool 50 may include one or more rotational feed shafts such as an A-axis feed shaft for rotation about the X-axis in the horizontal direction, or a C-axis feed shaft for rotation about the Z-axis in vertical direction. In such a case, in addition to the X-axis, Y-axis, and Z-axis drive motors Mx, My, and Mz, the drive mechanism 52 may include servomotors for the rotational feed shafts such as the A-axis and C-axis feed shafts.
[0070] The machining program generated by the CAM device 56, which is connected to the CAD device 58 via a computer network such as a LAN, is supplied to the simulator 70. The machining program includes a tool path calculated based on workpiece W shape data generated by the CAD device 58, tool conditions such as tool type, tool diameter, and optimum cutting speed, and machining conditions such as pick feed amount, feed speed, and spindle rotation speed.
[0071] Next, another application example of a machined surface (object surface) evaluation device 10 according to the present invention will be described in reference to
[0072] In the structures of
[0073] Next,
[0074] In the case in which the maximum value of the normal direction change rate was 0.08, according to the evaluation method of the present invention, such a state is a state in which shape change is visible, and streak-like patterns due to shape change were actually observed on the machined surface of the workpiece. According to the present invention, when the normal direction change rate is 0.02 or less, shape change cannot be observed. By adjusting the control parameters of the numerically controlled machine tool to make the actual normal direction change rate 0.02, streaking on the machined surface could not be visually recognized.
[0075]
[0076] In the case in which the root mean square slope of the machined surface was 0.019, according to the evaluation method of the present invention, in such a state, shape change is visible, and streak-like patterns due to shape change were actually observed on the machined surface of the workpiece. According to the present invention, when the root mean square slope of the machined surface is about 0.05 or more, shape change cannot be observed. By changing the diameter of the tool used for the machining to make the actual root mean square slope about 0.05 or more, streaking of the machined surface became only slightly visible.
[0077] Furthermore, though the present embodiment has been described using the normal direction change rate of the shape of the object surface, the present invention is not limited thereto. For example, equivalents of the normal direction change rate such as the tangential change rate of the object surface or the derivative value of the object surface shape are encompassed by the present invention.
REFERENCE SIGNS LIST
[0078] 10 Machined Surface (Object Surface) Evaluation Device [0079] 12 Machined Surface Data Generation Unit [0080] 14 Parameter Calculation Unit [0081] 16 Normal Direction Change Rate Calculation Unit [0082] 18 Visible Area Map Storage Unit [0083] 20 Plotting Unit [0084] 22 Display Unit [0085] 24 Parameter Change Unit [0086] 26 Input Device [0087] 28 Map Generation Unit [0088] 30 NC Device [0089] 40 Set Point [0090] 42 Set Point [0091] 44 Set Point [0092] 50 Machine Tool [0093] 52 Drive Mechanism [0094] 54 NC Device [0095] 56 CAM Device [0096] 58 CAD Device [0097] 60 Machining Device [0098] 62 Bed [0099] 64 Table [0100] 66 Spindle [0101] 68 Spindle Head [0102] 70 Simulator [0103] 80 Measurement Device