The presently disclosed subject matter relates to a measurement device and relates in particular to a measurement device for measuring a shape, roughness or a contour or the like of a surface of an object to be measured.
A measurement device for measuring a shape, roughness or a contour or the like of a surface of an object to be measured has been known. For example, Patent Literature 1 discloses a surface property measurement device that measures a surface property of a measurement target surface of an object to be measured by bringing a stylus projectingly provided on a distal end of a measurement arm into contact with the measurement target surface of the object to be measured to perform scanning and detecting minute vertical movements of the stylus. In the surface property measurement device described in Patent Literature 1, the measurement arm is supported so as to swing (move in a circular arc) in an up-down direction with a rotary shaft as a fulcrum. Then, a rotation angle by swinging of the measurement arm is detected by using a scale having a scale mark along a swing direction of the measurement arm.
In the measurement device described above, when an ambient temperature changes, a length of the measurement arm changes due to thermal expansion. Therefore, there is a problem that a measurement result of displacement of the stylus fluctuates due to the ambient temperature.
The presently disclosed subject matter is implemented in consideration of such a circumstance, and it is an object to provide a measurement device capable of suppressing influence exerted on a measurement result by an ambient temperature.
In order to solve the problem described above, a measurement device according to a first aspect of the presently disclosed subject matter includes: a probe part including a probe configured to measure a surface of an object to be measured and is attached so as to swing around a swing center according to a shape of the surface of the object to be measured; a scale configured to measure displacement by swinging of the probe part; a scale head configured to read a scale mark of the scale; and an arm part to which the probe part is attached, the arm part is attached so as to swing around the swing center integrally with the probe part, and the scale is attached to the arm part, and when thermal expansion coefficients of the probe part, the arm part and the scale are α, β and γ respectively, the measurement device satisfies a condition of (α+γ)−½α≤β≤(α+γ)+½α.
A measurement device according to a second aspect of the presently disclosed subject matter is configured such that, in the first aspect, the thermal expansion coefficients of the probe part, the arm part and the scale satisfy a condition of β=α+γ.
A measurement device according to a third aspect of the presently disclosed subject matter is configured such that, in the first or second aspect, the scale is a circular arc scale formed in a circular arc shape along a swing direction of the arm part.
A measurement device according to a fourth aspect of the presently disclosed subject matter is configured such that, in any one of the first to third aspects, at least one of the probe part, the arm part and the scale is formed of a plurality of members having different thermal expansion coefficients, and materials and lengths of the plurality of members are adjusted so as to satisfy the condition.
A measurement device according to a fifth aspect of the presently disclosed subject matter includes: a probe part including a probe configured to measure a surface of an object to be measured and attached so as to swing around a swing center according to a shape of the surface of the object to be measured; a scale configured to measure displacement by swinging of the probe part; a scale head configured to read a scale mark of the scale; an arm part to which the probe part is attached, the arm part is attached so as to swing around the swing center integrally with the probe part, and the scale is attached to the arm part; a temperature sensor configured to measure an ambient temperature; and a controller configured to calculate actual displacement xT of a distal end part of the probe part by following expressions, when thermal expansion coefficients of the probe part, the arm part and the scale are α, β and γ respectively, a measured value of displacement of the distal end part of the probe part is xF, and a change amount of the ambient temperature when measuring the measured value xF is ΔT.
xT=cXF
c=(1+αΔT)/{1+(β−γ)ΔT}
According to the presently disclosed subject matter, influence exerted on a measurement result by an ambient temperature can be suppressed.
Hereinafter, embodiments of a measurement device according to the presently disclosed subject matter are explained according to the attached drawings.
(Measurement Device)
First, a configuration of the measurement device according to the first embodiment of the presently disclosed subject matter is explained with reference to
A measurement device 10 is a device for measuring a shape, roughness or a contour or the like of a surface of an object W to be measured. The measurement device 10 is attached to a column (not illustrated) and is made movable in XYZ directions to the column by an actuator (not illustrated) provided on the column. The column to which the measurement device 10 is attached is fixed to a table (not illustrated) where the object W to be measured is to be mounted.
As illustrated in
The probe part 14 is fixed so as to be roughly straight to the arm part 16. The probe part 14 and the arm part 16 are attached so as to integrally swing around the swing shaft 20 fixed to the swing shaft fixing part 24. For the swing shaft 20, an attaching angle to the column of the measurement device 10 is adjusted so as to be roughly parallel to the XY plane. Hereinafter, the probe part 14 and the arm part 16 are referred to as a swing part 18. Here, the configuration of the swing part 18 is not limited to an example of being roughly straight as illustrated in
On a distal end of the probe part 14, a probe 12 is provided. The probe 12 extends in a lower direction (−Z direction) in the figure. When the probe 12 is brought into contact with the surface of the object W to be measured, which is mounted on the table, with a predetermined pressure, the swing part 18 swings around the swing shaft 20 according to a height and ruggedness of the surface of the object W to be measured at a contact position. Note that the configuration of the probe part 14 is not limited to the example illustrated in
To a scale attaching position 16B on a proximal end part side of the arm part 16, the scale 22 is attached, and the scale 22 is displaced according to swinging of the swing part 18. The arm part 16 is a member which connects a swing center 20C of the swing shaft 20 and the scale head 26 (which defines a distance between the swing center 20C of the swing shaft 20 and the scale head 26).
The scale 22 is a circular arc scale (angle scale) formed in a circular arc shape along a swing direction of the arm part 16, and scale markers indicating a rotation angle (corresponding to a scale head detection angle ϕ in
The scale head 26 is a device which reads displacement of the scale 22 according to the swinging of the swing part 18. While a kind of the scale head 26 is not limited in particular, as the scale head 26, for example, a photoelectric sensor or a non-contact type sensor including an imaging element for reading the scale marker may be used.
In the present embodiment, materials of individual members are selected so as to satisfy a condition of β=α+γ in the case where the thermal expansion coefficients (linear thermal expansion coefficients) of the probe part 14, the arm part 16 and the scale 22 are α, β and γ respectively (details are to be described later).
To the measurement device 10, a control device 50 is connected, and the displacement of the scale 22 read by the scale head 26 is outputted to the control device 50. The control device 50 controls the actuator provided on the column, and acquires a detection signal for the displacement at each position on the surface of the object W to be measured while relatively moving the object W to be measured and the probe 12 of the measurement device 10. Thus, the shape, roughness or contour or the like of the surface of the object W to be measured can be measured.
As illustrated in
The controller 52 includes a CPU (Central Processing Unit) for controlling the individual units of the control device 50, a memory (for example, a ROM (Read Only Memory)) where a control program for the control device 50 or the like is stored, and a storage (for example, an HDD (Hard Disk Drive)) where various kinds of data are stored. The controller 52 outputs control signals for controlling the individual units of the control device 50 according to operation input from the input unit 54, and outputs control signals for controlling the measurement device 10 and control signals for controlling the actuator or the like for moving the measurement device 10 or the like.
The input unit 54 is a device for receiving the operation input from an operator, and includes a keyboard, a mouse and a touch panel, for example.
The display 56 is a device for displaying images, and is an LCD (Liquid Crystal Display), for example. The display 56 displays, for example, a GUI (Graphical User Interface) for operations of the control device 50, the measurement device 10 and the actuator or the like and measurement results of the shape, roughness or contour or the like of the surface of the object W to be measured.
(Influence Exerted to Measurement Result by Ambient Temperature)
(Case where thermal expansion coefficients of arm part 16 and scale 22 are equal (β=γ))
Next, the configuration for suppressing influence exerted on the measurement result by the ambient temperature is explained. First, the case where the thermal expansion coefficients of the arm part 16 and the scale 22 are equal (β=γ), that is, the example of not satisfying the condition β=α+γ of the present embodiment is explained with reference to
Portion (a) of
When an ambient temperature T is a reference temperature T0, a distance L from a distal end part 14E (position corresponding to a distal end position of the probe 12 in contact with the surface of the object W to be measured) of the probe part 14 to the swing center 20C of the swing part 18 is defined as L0, and a distance M from the swing center 20C of the swing part 18 to the scale attaching position 16B of the arm part 16 is defined as M0.
As illustrated in portion (b) of
x1=L0·sin θ=L0·sin ϕ (1)
When the expression (1) is generalized without considering the thermal expansion, a computation expression of displacement xF of the distal end part 14E of the probe part 14 is expressed by an expression (2) below.
xF=L0·sin ϕ (2)
As illustrated in portion (c) of
L=L0(1+αΔT) (3)
At the time, actual displacement xT of the distal end part 14E of the probe part 14 is expressed by an expression (4) below.
xT=L·sin θ=L0·sin θ(1+αΔT) (4)
From the expression (2) and the expression (4), an error xerr between a true value xT and a calculated value xF of the displacement of the distal end part 14E of the probe part 14 due to the change of the ambient temperature T to T=T0+ΔT is expressed by an expression (5) below.
xerr=xT−xF
xerr=L0·αΔT·sin θ (5)
(Case where thermal expansion coefficients of arm part 16 and scale 22 are different (β≠γ))
Next, the influence of the thermal expansion in the case where the thermal expansion coefficients of the arm part 16 and the scale 22 are different (β≠γ) is explained with reference to
As illustrated in
When the thermal expansion is taken into consideration, the distance (≈a length of the arm part 16) M from the swing center 20C of the swing part 18 to the scale attaching position 16B of the arm part 16 is expressed by an expression (6) below.
M=M0(1+βΔT) (6)
On the other hand, the position of the scale 22 is expanded by the thermal expansion coefficient γ of the scale 22 with the attaching position of the scale 22 as the reference. Thus, a distance β from the scale attaching position 16B of the arm part 16 to the angle reference center 22C is expressed by an expression (7) below.
R=M0(1+γΔT) (7)
When a distance between the swing center 20C and the angle reference center 22C is ΔM, an expression (8) below is obtained from the expression (6) and the expression (7).
ΔM=M−R
ΔM=M0(β−γ)ΔT (8)
As illustrated in
tan ρ=ΔM·sin θ/M1
tan ρ=ΔM·sin θ/(M—ΔM·cos θ) (9)
When approximation for which ρ and θ are minute angles is used, an expression (10) below is obtained.
ρ≈ΔM·sin θ/M0=(β−γ)ΔT (10)
When a computation expression (2) for the displacement xF of the distal end part 14E of the probe part 14 is transformed using the expression (10), it is transformed as follows.
xF=L0·sin ϕ
xF=L0·sin(θ+ρ)
xF=L0(sin θ cos ρ+cos θ sin ρ)
When the approximation for which ρ is the minute angle is used, an expression (11) below is obtained.
xF≈L0(sin θ+ρ·cos θ)
xF≈L0·sin θ{1+(β−γ)ΔT·cos θ} (11)
On the other hand, since the actual displacement xT is obtained by the expression (4), the error xerr is expressed by an expression (12) below.
xerr=xT−xF
xerr=L0·sin θ(1+αΔT)−L0·sin θ{1+(β−γ)ΔT·cos θ}
xerr=L0ΔT·sin θ{α−(β−γ)cos θ} (12)
Here, when the condition of β=α+γ is satisfied, an expression (13) below is obtained.
xerr=L0ΔTα·sin θ{1−cos θ} (13)
Thus, while the error xerr in the case of not satisfying the condition β=α+γ of the present embodiment (expression (5)) is xerr=L0·αΔT·sin θ (the case of β=γ), xerr in the case of satisfying the condition described above is xerr=L0ΔTα·sin θ{1−cos θ}.
Generally, a detection range in the measurement device 10 is near θ=0°. At the time, it is (1−cos θ)<<1. Thus, by selecting the materials of the individual members so as to satisfy the condition of β=α+γ, the error xerr between the true value xT and the calculated value xF of the displacement of the distal end part 14E of the probe part 14 can be substantially reduced. Accordingly, the influence exerted on the measurement result of the measurement device 10 by the ambient temperature T can be suppressed.
In the case of using carbon fiber (CFRP: Carbon Fiber Reinforced Plastics) as the material of the probe part 14, iron as the material of the scale 22 and glass as the material of the arm part 16, the thermal expansion coefficients α, β and γ are α=3.6×10−6, γ=8.5×10−6, and β=12.1×10−6. According to the above-described combination of the materials, the condition of β=α+γ can be satisfied.
(Modification 1)
While the thermal expansion coefficients α, β and γ of the probe part 14, the arm part 16 and the scale 22 satisfy the condition of β=α+γ in the present embodiment, the presently disclosed subject matter is not limited thereto.
When the expression (12) is transformed, an expression (14) below is obtained.
xerr=L0ΔTα−sin θ{1−{(β−γ)/α}cos θ} (14)
When comparing the expression (5) and the expression (14), the error xerr in the expression (14) is a value for which the expression (5) is multiplied with {1−{(β−γ)/α}cos θ}.
Practically, when the error xerr due to the change of the ambient temperature T can be reduced to ½ or less, it can be defined that there is significant resistance to the change of the ambient temperature T.
A condition of practically useful thermal expansion coefficients is expressed by an expression (15a) below.
|1−{(β−γ)/α}cos θ|≤1/2 (15a)
Here, since the detection range in the measurement device 10 is near θ=0°, when approximation to cos θ≈1 is performed, an expression (15b) below is obtained.
|1−(β−γ)/α|≤1/2 (15b)
When the expression (15b) is solved for R, an expression (16) below is obtained.
(α+γ)−1/2α≤β≤(α+γ)+1/2α (16)
Thus, when the thermal expansion coefficient β of the arm part 16 is within a range of ±½α with (α+γ) as the reference, it can be defined that there is practically significant resistance to the change of the ambient temperature T.
(Modification 2)
While the probe part 14, the scale 22 and the swing shaft fixing part 24 are formed of a single material respectively in the present embodiment, it is also possible to adjust the thermal expansion coefficients α, γ and β by combining the plurality of materials respectively.
α=(α1l1+α2l2+α3l3)/(l1+l2+l3) (17)
Generally, the thermal expansion coefficient is a value intrinsic to the material and it is difficult to adjust it to an arbitrary value. Then, by combining the plurality of materials and adjusting the lengths of the individual materials, it becomes possible to adjust the thermal expansion coefficients of the probe part 14, the scale 22 and the swing shaft fixing part 24 to arbitrary values. Thus, the measurement device which satisfies the condition of β=α+γ is easily created.
A measurement device 10-2 according to the present embodiment includes an exchangeable probe 30 attachable and detachable to/from the measurement device 10-2, instead of the probe part 14.
The exchangeable probe 30 includes a first member 30A provided with the probe 12 and a second member 30B. A proximal end part of the second member 30B has such a shape that attachment (for example, engagement and fitting) to a probe attaching base part 16A is possible. In the present embodiment, the exchangeable probe 30 and the probe attaching base part 16A form a probe part 32 together, and the probe part 32 and the arm part 16 form a swing part 34 together.
The thermal expansion coefficients of the first member 30A and the second member 30B are α1 and α2 respectively, the lengths are l1 and l2, the thermal expansion coefficient of the probe attaching base part 16A is α3 and the length (the length between a left end part in the figure and the swing center 20C of the swing shaft 20) is l3. In this case, similarly to the modification 2, the thermal expansion coefficient α of the entire probe part 32 formed of the exchangeable probe 30 and the probe attaching base part 16A is expressed by an expression (18) below.
α=(α1l1+α2l2+α3l3)/(l1+l2+l3) (18)
Thus, when the condition to be satisfied is β=α+γ, a condition of an expression (19) below should be satisfied.
(α1l1+α2l2+α3l3)/(l1+l2+l3)=β−γ (19)
According to the present embodiment, similarly to the modification 2, the thermal expansion coefficient α can be adjusted to an arbitrary value by the combination of the members configuring the exchangeable probe 30 and the length. In addition, according to the present embodiment, since the thermal expansion coefficient α can be adjusted only by the exchangeable probe 30, the influence exerted on the measurement result by the ambient temperature T can be suppressed even in an existing measurement device (the measurement device for which γ and β are not adjusted). Furthermore, in the present embodiment, a margin may be given to β similarly to the modification 1.
In the present embodiment, it is preferable that the shape of the probe attaching base part 16A is turned to such a shape (for example, a diameter and the shape of a fitting hole) that only the exchangeable probe 30 satisfying the condition of the expression (19) is attachable. Thus, an exchangeable probe not suitable for suppressing the influence exerted on the measurement result by the ambient temperature T can be prevented from being attached to the measurement device.
While the condition that the thermal expansion coefficient α of the probe part 14, the thermal expansion coefficient β of the arm part 16 and the thermal expansion coefficient γ of the scale 22 satisfy is obtained in order to suppress the influence exerted on the measurement result by the change of the ambient temperature in the embodiment described above, it is also possible to measure the temperature change amount ΔT of the ambient temperature T and correct the measurement result using the temperature change amount ΔT.
A measurement device 10-3 according to the present embodiment includes a temperature sensor 60. The temperature sensor 60 is for measuring the ambient temperature (air temperature) of an environment where measurement is performed using the measurement device 10-3, and is provided on a surface of a casing of the measurement device 10-3, for example.
Here, as the temperature sensor 60, it is also possible to use a contact type or non-contact type temperature sensor (for example, a radiation thermometer or a thermistor) for measuring the temperature (for example, a surface temperature) of at least one of the probe part 14 and the arm part 16 as the ambient temperature.
In the present embodiment, the controller 52 acquires a measured value of the ambient temperature T from the temperature sensor 60 when measuring the displacement xF of the distal end part 14E of the probe part 14, and stores the displacement xF and the ambient temperature T in association with each other in the storage. Then, the controller 52 calculates the actual displacement xT of the distal end part 14E of the probe part 14 based on the displacement xF (measured value) and the temperature change amount ΔT of the ambient temperature T. Specifically, the actual displacement xT of the distal end part 14E of the probe part 14 is calculated from the displacement xF (measured value) using a correction coefficient c indicated in an expression (20) below.
cXF=xT (20)
As already described, the displacement xF of the distal end part 14E of the probe part 14 in the case of taking the thermal expansion into consideration is obtained by the expression (11).
xF≈L0·sin θ{1+(β−γ)ΔT·cos θ} (11)
On the other hand, the actual displacement xT of the distal end part 14E of the probe part 14 is obtained by the expression (4).
xT=L·sin θ=L0·sin θ(1+αΔT) (4)
When the expression (11) and the expression (4) are substituted for the expression (20) and the approximation (cos θ≈1) for which θ is the minute angle is used, an expression (21) below is obtained.
c=xT/xF
=(1+αΔT)/{1+(β−γ)ΔT·cos θ}
≈(1+αΔT)/{1+(β−γ)ΔT} (21)
That is, when the approximation for which θ is the minute angle is used, the correction coefficient c is obtained by the thermal expansion coefficient α of the probe part 14, the thermal expansion coefficient β of the arm part 16, the thermal expansion coefficient γ of the scale 22 and the temperature change amount ΔT of the ambient temperature T.
By substituting the correction coefficient c expressed by the expression (21) for the expression (20) and correcting the displacement xF (measured value) of the distal end part 14E of the probe part 14, the actual displacement xT of the distal end part 14E can be calculated. Thus, the influence exerted on the measurement result by the change of the ambient temperature can be suppressed.
10, 10-1, 10-2, 10-3 . . . measurement device, 12 . . . probe, 14 . . . probe part, 16 . . . arm part, 18 . . . swing part, 20 . . . swing shaft, 22 . . . scale, 24 . . . swing shaft fixing part, 26 . . . scale head, 26P . . . scale head read point, 30 . . . exchangeable probe, 32 . . . probe part, 34 . . . swing part, 50 . . . control device, 52 . . . controller, 54 . . . input unit, 56 . . . display, 60 . . . temperature sensor
Number | Date | Country | Kind |
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2020-080058 | Apr 2020 | JP | national |
The present application is a Continuation of PCT International Application No. PCT/JP2021/006600 filed on Feb. 22, 2021 claiming priority under 35 U.S.C § 119(a) to Japanese Patent Application No. 2020-080058 filed on Apr. 30, 2020. Each of the above applications is hereby expressly incorporated by reference, in their entirety, into the present application.
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Number | Date | Country | |
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20230052870 A1 | Feb 2023 | US |
Number | Date | Country | |
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Parent | PCT/JP2021/006600 | Feb 2021 | US |
Child | 17976612 | US |