CN116793254B - Glass softening area morphology measurement method and system for reflector blank molding - Google Patents
Glass softening area morphology measurement method and system for reflector blank molding Download PDFInfo
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- CN116793254B CN116793254B CN202310878564.4A CN202310878564A CN116793254B CN 116793254 B CN116793254 B CN 116793254B CN 202310878564 A CN202310878564 A CN 202310878564A CN 116793254 B CN116793254 B CN 116793254B
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- 239000011521 glass Substances 0.000 title claims abstract description 160
- 238000000465 moulding Methods 0.000 title claims abstract description 9
- 238000000691 measurement method Methods 0.000 title description 2
- 238000005259 measurement Methods 0.000 claims abstract description 30
- 238000000034 method Methods 0.000 claims abstract description 21
- 239000000523 sample Substances 0.000 claims description 80
- 239000000463 material Substances 0.000 claims description 26
- 238000001816 cooling Methods 0.000 claims description 18
- 230000008602 contraction Effects 0.000 claims description 6
- 238000006073 displacement reaction Methods 0.000 claims description 6
- 238000010521 absorption reaction Methods 0.000 claims description 3
- 230000001678 irradiating effect Effects 0.000 claims description 3
- 238000012546 transfer Methods 0.000 claims description 3
- 230000003287 optical effect Effects 0.000 abstract description 7
- 238000005516 engineering process Methods 0.000 description 3
- 238000010586 diagram Methods 0.000 description 2
- 238000012545 processing Methods 0.000 description 2
- 239000005347 annealed glass Substances 0.000 description 1
- 238000000137 annealing Methods 0.000 description 1
- CLOMYZFHNHFSIQ-UHFFFAOYSA-N clonixin Chemical compound CC1=C(Cl)C=CC=C1NC1=NC=CC=C1C(O)=O CLOMYZFHNHFSIQ-UHFFFAOYSA-N 0.000 description 1
- 238000013461 design Methods 0.000 description 1
- 238000001514 detection method Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 230000005489 elastic deformation Effects 0.000 description 1
- 229920001971 elastomer Polymers 0.000 description 1
- 239000000806 elastomer Substances 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 230000000877 morphologic effect Effects 0.000 description 1
- 230000000704 physical effect Effects 0.000 description 1
- 238000007493 shaping process Methods 0.000 description 1
- 238000003856 thermoforming Methods 0.000 description 1
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- Y—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
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
- Y02P40/00—Technologies relating to the processing of minerals
- Y02P40/50—Glass production, e.g. reusing waste heat during processing or shaping
- Y02P40/57—Improving the yield, e-g- reduction of reject rates
Abstract
The invention belongs to the technical field of glass-based optical element molding and optical element characteristic measurement, and particularly discloses a method and a system for measuring the morphology of a glass softening area for molding a reflector blank.
Description
Technical Field
The invention relates to the technical field of glass-based optical element molding and optical element characteristic measurement, in particular to a method and a system for measuring the morphology of a glass softening area for molding a reflector blank.
Background
The laser selective forming technology for glass material is one kind of high precision forming technology for producing optical element. The local softening area shape of the glass under the laser irradiation directly determines the area which can be used for thermoforming of the optical element, so one of the keys of the laser selective forming of the optical element is to establish the relation between the laser parameters (laser power, irradiation area shape and irradiation area size) and the softening area shape of the glass, and the method has important significance for measuring the softening area shape under the laser irradiation.
However, in experimental observation of the morphology of the softened region of glass, it is difficult to observe physical properties such as the morphology of the softened region and the distribution of the temperature field, because both the glass and the molten state thereof are colorless and transparent. There is no prior art, as a result of the search, for the detection and measurement of the morphology of the glass-softening region.
Disclosure of Invention
In order to solve the technical problems, the invention provides a method and a system for measuring the morphology of a glass softening area for forming a reflector blank.
In order to achieve the above purpose, the invention is implemented according to the following technical scheme:
a first object of the present invention is to provide a method for measuring the morphology of a glass softening zone for the shaping of a mirror blank, comprising the steps of:
s1, firstly, uniformly dividing a cylindrical glass block into a plurality of sector blocks along the axial direction, and assembling the sector blocks into a cylindrical glass sample piece through a clamp;
s2, enabling the center point of the laser emission beam to coincide with the geometric center point of the cylindrical glass sample, and vertically irradiating the geometric center of the upper surface of the cylindrical glass sample by the emission laser beam to enable the geometric center of the cylindrical glass sample to form a concave molten pool, namely a glass softening area;
s3, taking out the cylindrical glass sample piece from the clamp after cooling, inserting a probe of the probe type space coordinate measuring device into an axial glass gap between any two adjacent fan-shaped blocks to measure the edge space coordinate of the solidified glass softening region, respectively acquiring the outer edge space position data of the glass softening region, and respectively calculating the acquired outer edge space position data of the glass softening region through temperature compensation to obtain the outer contour of the softening region.
Further, the outer edge space position data of the glass softening region is recorded as a 1 (x 1 ,y 1 ),a 2 (x 2 ,y 2 ),a 3 (x 3 ,y 3 )……a n (x n ,y n ) The specific steps of compensating the obtained external edge space position data of the glass softening area are as follows:
in the y-axis direction, the position of the origin of coordinates is the center position of the bottom surface of the cylindrical glass sample, and the y-coordinates of the coordinate points are the height of the points from the bottom of the glass material, so that the displacement of the coordinate points in the y-axis direction satisfies the following conditions:
Δy is the y coordinate compensation value of the measurement point, a y Is the line contraction coefficient in the vertical direction, y 0 For the measurement of the y-coordinate value of the point,is the average temperature change in the vertical direction;
specifically, the temperature of the bottom of the glass is obtained through energy transfer of the material in the vertical direction, the temperature distribution gradient is extremely small and is neglected, so that the bottom of the glass is considered to be uniform in temperature, and the temperature T (y) is as follows:
wherein: a is the laser absorption coefficient of glass, I is the laser power density, a is the laser radius, K is the heat conductivity coefficient, erf function is Gaussian error function, h is the height of the glass material, x is the x coordinate size of the surface point, T 0 At room temperature, T f Exp is an exponential function with a natural constant e as a base, which is the glass softening point temperature;
further, the change delta y of the point y coordinate on the temperature equivalent surface is obtained through calculation;
in the x-axis direction, the y-axis of the coordinate axis is the central axis of the material, and the displacement of the coordinate point in the x-axis direction satisfies the following conditions:
Δx is the x coordinate compensation value of the measurement point,a x is the coefficient of contraction of horizontal line, x 0 For the measurement of the x-coordinate value of the point,mean temperature change in the horizontal direction;
the steady state temperature on the central axis of the material can be approximated as:
y is the y coordinate size of the point on the central axis, T f Exp is an exponential function with a natural constant e as a base, which is the glass softening point temperature;
calculating to obtain the change delta x of the point x coordinate on the temperature equivalent surface, wherein the compensated x coordinate x' =x+delta x;
the external contour data of the softened region obtained by temperature compensation calculation is marked as a 1 ’(x 1 ’,y 1 ’),a 2 ’(x 2 ’,y 2 ’),a 3 ’(x 3 ’,y 3 ’)……a n ’(x n ’,y n ’)。
The second object of the invention is to provide a glass softening area morphology measuring system for forming a reflector blank, which comprises a probe type space coordinate measuring device and a cylindrical glass block, wherein a fixture is arranged on a working table of the probe type space coordinate measuring device, the cylindrical glass block is divided into a plurality of fan-shaped blocks along the axial direction uniformly, the fan-shaped blocks are arranged in the fixture to be assembled into a cylindrical glass sample piece, and the distance between glass gaps of the plurality of fan-shaped blocks is larger than the diameter of a probe of the probe type space coordinate measuring device; a laser emitter is arranged above the cylindrical glass sample piece, a laser emission beam of the laser emitter is perpendicular to the upper end surface of the cylindrical glass sample piece, and the center point of the laser emission beam coincides with the geometric center point of the cylindrical glass sample piece; the method comprises the steps of emitting laser beams to irradiate the geometric center of the upper surface of a cylindrical glass sample, enabling the geometric center of the cylindrical glass sample to form a concave molten pool, namely a glass softening zone, cooling the cylindrical glass sample, taking the cylindrical glass sample out of a clamp, inserting a probe of a probe type space coordinate measuring device into an axial glass gap between any two adjacent fan-shaped blocks to measure the edge space coordinates of the solidified glass softening zone, respectively acquiring the outer edge space position data of the glass softening zone, and respectively calculating the acquired outer edge space position data of the glass softening zone through temperature compensation to obtain the outer contour of the softening zone.
Further, the centre of the clamp is provided with a stepped hole, the diameter of the upper hole of the stepped hole is larger than that of the lower hole, the upper hole of the stepped hole is in clearance fit with the cylindrical glass sample, and the clearance is 0.12mm.
Further, the diameter of the lower hole of the stepped hole of the clamp is 1.5-2.5 times of the diameter of the laser emission beam.
Preferably, the cylindrical glass block is uniformly divided into at least two sector blocks along the axial direction.
Compared with the prior art, the method has the advantages that the glass sample piece is divided in equal quantity, the softened region is formed in part of the glass sample piece through laser irradiation, the outline form of the remelted region of the cooled annealed glass sample piece is measured, the temperature compensation calculation model is utilized to calculate the related data obtained by the probe, the outline data of the softened region after temperature compensation is obtained, and the accurate measurement of the three-dimensional form of the softened region is realized.
Drawings
Fig. 1 is a schematic diagram of a system structure according to the present invention.
FIG. 2 is a schematic diagram of a system for acquiring the spatial position of a gap of a glass sample by a probe type spatial coordinate measuring device according to the present invention.
Fig. 3 is a cross-sectional view of the clamp.
FIG. 4 is an exemplary graph of the relationship between glass softening regions and gaps of a cylindrical glass sample.
Fig. 5 is a flow chart of the method of the present invention.
FIG. 6 is a graph showing morphology data of glass-softened regions measured by a probe.
FIG. 7 is a graph of morphology data for a glass-softened region after compensation was calculated.
Reference numerals in the drawings:
1. laser emitter, 4, cylindrical glass sample piece, 5, fixture, 6, probe type space coordinate measuring device, 401, glass softening area, 402, glass gap, 601, probe.
Detailed Description
The present invention will be described in further detail with reference to the following examples in order to make the objects, technical solutions and advantages of the present invention more apparent. The specific embodiments described herein are for purposes of illustration only and are not intended to limit the invention.
As shown in fig. 1 and 2, the present embodiment exemplarily provides a glass softening area morphology measurement system for forming a mirror blank of a mirror, which includes a probe type space coordinate measurement device 6 and a cylindrical glass block, wherein a fixture 5 is arranged on a working table of the probe type space coordinate measurement device 6, the cylindrical glass block is divided into a plurality of segments (e.g. 8 segments in fig. 1) uniformly along an axial direction, and the segments are assembled into a cylindrical glass sample piece 4 by being installed in the fixture 5, and a distance between glass gaps 402 of the segments is larger than a diameter of a probe 601 of the probe type space coordinate measurement device 6, so that the probe 601 can be inserted into the glass gaps 402 to form a glass softening area 401 finally, referring to fig. 4; a laser emitter 1 is arranged above the cylindrical glass sample piece 4, the laser emission beam of the laser emitter 1 is vertical to the upper end surface of the cylindrical glass sample piece 4, and the center point of the laser emission beam coincides with the geometric center point of the cylindrical glass sample piece; the laser beam is emitted to irradiate the geometric center of the upper surface of the cylindrical glass sample piece 4, so that a concave molten pool, namely a glass softening area 401 is formed at the geometric center of the cylindrical glass sample piece 4, the cylindrical glass sample piece 4 is taken out from a clamp after being cooled, a probe 601 of a probe type space coordinate measuring device is inserted into an axial glass gap between any two adjacent fan-shaped blocks to measure the edge space coordinates of the solidified glass softening area 401, the external edge space position data of the glass softening area are respectively obtained, and the obtained external edge space position data of the glass softening area are respectively calculated through temperature compensation to obtain the external contour of the softening area.
In order to be convenient for install cylindrical glass sample 4, the centre of anchor clamps 5 has seted up the shoulder hole, and the hole diameter is greater than down hole diameter on the shoulder hole, and the hole is clearance fit with cylindrical glass sample 4 on the shoulder hole, and the clearance is 0.12mm. The diameter of the lower hole of the stepped hole of the clamp is 1.5-2.5 times of the diameter of the laser emission beam.
Furthermore, the system can be used for measuring the morphology of a glass softening area for molding a reflector blank, and comprises the following specific steps:
step (1), as shown in fig. 5, according to the outer diameter R of the cylindrical glass block to be measured, designing a corresponding fixture 5, wherein the specific design position is a stepped hole positioned in the center of the fixture 5, in order to ensure that glass can enter an upper hole of the stepped hole, and the glass can be smoothly taken out after laser irradiation, and the upper hole of the stepped hole and the glass are in clearance fit, wherein the clearance is 0.12mm. The lower hole of the stepped hole is 1.5-2.5 times of the laser beam diameter. Avoid laser to touch anchor clamps 5 and produce the influence to anchor clamps 5 precision.
And (2) equally dividing the cylindrical glass block to be measured into four sector blocks along the axial direction, and putting the sector blocks into a clamp to assemble the cylindrical glass sample piece 4, wherein in order to ensure uniform cutting and higher section accuracy, a manual cutting mode or numerical control process technologies such as linear cutting can be adopted to process the glass. The plurality of segments are assembled compactly when the jig 5 is fitted.
Step (3), determining the diameter of the emitted laser beam of the laser emitter 1 according to the diameter of the required glass softening area, wherein the center point of the emitted laser beam coincides with the geometric center point of the cylindrical glass sample 4 formed by splicing, and emitting the laser beam for irradiation; the laser beam diameter should be set to a constant parameter, and the center position of the jig 5 can be determined by using a conventional numerical control positioning technique or the like, i.e., according to the jig boundary. I.e., the common contact point of the segments, controls the laser emission to form glass-softening region 401.
In step (4), as shown in FIG. 4, after the formed glass softening region 401 is stabilized, the cylindrical glass sample 4 is taken out by annealing and cooling. The glass gaps 402 between the cylindrical glass-like pieces 4 partially disappear due to glass remelting. The portion where the glass gap 402 disappears is related to the size of the glass-softening region 401. Taking the glass gap 402 as a cross section, the geometry of the glass gap 402 bonded by the remelting at that cross section is the geometry of the glass-softened region 401 at that cross section.
Step (5), the shape data of the glass softening region 401 after being cooled to room temperature is obtained through probe measurement, and the shape of the formed glass softening region 401 is axisymmetric because the shape of the laser beam is circular, so that the boundary point of the glass softening region 401 can obtain the shape of the whole softening region by only selecting a slit on the same straight line for measurement, and the measured values are a respectively 1 (x 1 ,y 1 ),a 2 (x 2 ,y 2 ),a 3 (x 3 ,y 3 )……a n (x n ,y n ) As shown in fig. 6. Since the purpose of the present invention is to obtain the morphology data of the glass-softened region 401 of the glass material at a high temperature during the laser processing, the cooling process of the glass material causes the material to shrink and the boundary of the glass-softened region 401 to deviate, in order to obtain the actual morphology data a of the glass-softened region 401 1 ’(x 1 ’,y 1 ’),a 2 ’(x 2 ’,y 2 ’),a 3 ’(x 3 ’,y 3 ’)……a n ’(x n ’,y n ') it is necessary to compensate for the data obtained from the probe measurements.
Specifically, the shrinkage of the glass material is not constant during the cooling shrinkage of the glass softening region 401, because the external temperature field of the glass is gradient, the glass does not shrink uniformly during the cooling process, and the shrinkage of each measurement point needs to be calculated separately. Therefore, it is necessary to determine the laser softening region cooling shrinkage compensation by calculation, which can be approximately regarded as an elastomer during the glass cooling process, and which shrinkage deformation is an elastic deformation. The determination of the cooling shrinkage compensation coefficient for any point on the isothermal surface of the glass external softening temperature can be performed in the following steps:
1. calculating any point a on the isothermal surface with softening temperature point n In both horizontal and vertical directionsAverage temperature change: the temperature change is obtained by calculating parameters such as laser power, thermal effect and the like.
2. By means of the linear shrinkage of the material and a n Average temperature variation in horizontal and vertical directions to calculate a n The amount of shrinkage of the coordinates in both directions.
3. And calculating the compensation quantity of the abscissa and the ordinate of the point coordinate according to the contraction quantity, and compensating the measurement point coordinate measured by the probe.
Through the three steps, the morphological coordinate data of the laser softening area in the processing process can be accurately calculated.
Specifically, when the cylinder material with uniform temperature is cooled from high temperature to room temperature, the calculation formulas of the cooling shrinkage in the diameter direction and the height direction are as follows:
the calculation formula of the radial cooling shrinkage is as follows: Δr=α r ×r 0 ×ΔT；
The calculation formula of the cooling shrinkage in the height direction: Δh=α h ×h 0 ×ΔT；
Wherein Deltar represents radial cooling shrinkage, alpha r Represents the radial linear expansion coefficient of the cylindrical material, r 0 An initial value of the cylinder radius is shown, Δh is the cooling shrinkage in the height direction, and α h Represents the linear expansion coefficient in the height direction of the cylindrical material, h 0 Represents an initial value of the cylinder height, and Δt represents a temperature difference between a high temperature and room temperature.
Specifically, for the cooling shrinkage process of the cylindrical glass material of the gradient temperature field, according to the formula, the shrinkage of the material in the radial direction and the height direction is linearly related to the temperature change, and the average temperature change of points on the isosurface in the x-axis and the y-axis directions can be used for compensating the cooling shrinkage.
In the y-axis direction, the position of the origin of coordinates is the center position of the bottom surface of the cylindrical glass sample, and the y-coordinates of the coordinate points are the height of the points from the bottom of the glass material, so that the displacement of the coordinate points in the y-axis direction satisfies the following conditions:
Δy is the y coordinate compensation value of the measurement point, a y Is the line contraction coefficient in the vertical direction, y 0 For the measurement of the y-coordinate value of the point,is the average temperature change in the vertical direction;
specifically, the temperature of the bottom of the glass is obtained through energy transfer of the material in the vertical direction, the temperature distribution gradient is extremely small and is neglected, so that the bottom of the glass is considered to be uniform in temperature, and the temperature T (y) is as follows:
wherein: a is the laser absorption coefficient of glass, I is the laser power density, a is the laser radius, K is the heat conductivity coefficient, erf function is Gaussian error function, h is the height of the glass material, x is the x coordinate size of the surface point, T 0 At room temperature, T f Exp is an exponential function with a natural constant e as a base, which is the glass softening point temperature;
further, the change delta y of the point y coordinate on the temperature equivalent surface is obtained through calculation;
in the x-axis direction, the y-axis of the coordinate axis is the central axis of the material, and the displacement of the coordinate point in the x-axis direction satisfies the following conditions:
Δx is the x coordinate compensation value of the measurement point, a x Is the coefficient of contraction of horizontal line, x 0 For the measurement of the x-coordinate value of the point,mean temperature change in the horizontal direction;
the steady state temperature on the central axis of the material can be approximated as:
y is the y coordinate size of the point on the central axis, T f Exp is an exponential function with a natural constant e as a base, which is the glass softening point temperature;
calculating to obtain the change delta x of the point x coordinate on the temperature equivalent surface, wherein the compensated x coordinate x' =x+delta x;
the external contour data of the softened region obtained by temperature compensation calculation is marked as a 1 ’(x 1 ’,y 1 ’),a 2 ’(x 2 ’,y 2 ’),a 3 ’(x 3 ’,y 3 ’)……a n ’(x n ’,y n v). And further, calculating the related data obtained by the probe according to the compensation method to obtain the outline data of the softened region after temperature compensation.
The technical scheme of the invention is not limited to the specific embodiment, and all technical modifications made according to the technical scheme of the invention fall within the protection scope of the invention.
Claims (3)
1. The method is characterized by comprising a glass softening area morphology measurement system for forming a reflector blank, wherein the glass softening area morphology measurement system for forming the reflector blank comprises a probe type space coordinate measurement device (6) and a cylindrical glass block, a clamp (5) is arranged on a working table of the probe type space coordinate measurement device (6), the cylindrical glass block is divided into a plurality of sector blocks along the axial direction uniformly, the sector blocks are arranged in the clamp (5) and assembled into a cylindrical glass sample piece (4), and the distance between glass gaps of the sector blocks is larger than the diameter of a probe (601) of the probe type space coordinate measurement device (6); a laser emitter (1) is arranged above the cylindrical glass sample piece (4), a laser emission beam of the laser emitter (1) is perpendicular to the upper end surface of the cylindrical glass sample piece (4), and the center point of the laser emission beam coincides with the geometric center point of the cylindrical glass sample piece; irradiating the geometric center of the upper surface of the cylindrical glass sample piece (4) by using a laser beam, forming a concave molten pool, namely a glass softening area (401), cooling the cylindrical glass sample piece (4), taking out the cylindrical glass sample piece from a clamp, inserting a probe (601) of a probe type space coordinate measuring device into an axial glass gap between any two adjacent fan-shaped blocks to measure the edge space coordinate of the solidified glass softening area (401), respectively acquiring the outer edge space position data of the glass softening area, and respectively calculating the outer edge space position data of the obtained outer edge space of the glass softening area through temperature compensation to obtain the outer contour of the softening area; the method for measuring the morphology of the glass softening area for forming the reflector blank comprises the following steps:
s1, firstly, uniformly dividing a cylindrical glass block into a plurality of sector blocks along the axial direction, and assembling the sector blocks into a cylindrical glass sample piece through a clamp;
s2, enabling the center point of the laser emission beam to coincide with the geometric center point of the cylindrical glass sample, and vertically irradiating the geometric center of the upper surface of the cylindrical glass sample by the emission laser beam to enable the geometric center of the cylindrical glass sample to form a concave molten pool, namely a glass softening area;
s3, taking out the cylindrical glass sample piece from the clamp after cooling, inserting a probe of a probe type space coordinate measuring device into an axial glass gap between any two adjacent fan-shaped blocks to measure the edge space coordinate of the solidified glass softening region, respectively acquiring the outer edge space position data of the glass softening region, and respectively calculating the acquired outer edge space position data of the glass softening region through temperature compensation to obtain the outer contour of the softening region;
the external edge space position data of the glass softening area is marked as a1 (x 1, y 1), a2 (x 2, y 2), a3 (x 3, y 3) … … an (xn, yn), and the specific steps of compensating the obtained external edge space position data of the glass softening area are as follows:
in the y-axis direction, the position of the origin of coordinates is the center position of the bottom surface of the cylindrical glass sample, and the y-coordinates of the coordinate points are the height of the points from the bottom of the glass material, so that the displacement of the coordinate points in the y-axis direction satisfies the following conditions:
；
Δy is the y coordinate compensation value of the measurement point, ay is the vertical line contraction coefficient, y0 is the y coordinate value of the measurement point,is the average temperature change in the vertical direction;
specifically, the temperature of the bottom of the glass is obtained through energy transfer of the material in the vertical direction, the temperature distribution gradient is extremely small and is neglected, so that the bottom of the glass is considered to be uniform in temperature, and the temperature T (y) is as follows:
；
；
wherein: a is a glass laser absorption coefficient, I is a laser power density, a is a laser radius, K is a heat conduction coefficient, an erf function is a Gaussian error function, h is a glass material height, x is an x coordinate size of a surface point, T0 is a room temperature, tf is a glass softening point temperature, exp is an exponential function with a natural constant e as a bottom;
calculating to obtain the variation delta y of the point y coordinates on the temperature equivalent surface;
in the x-axis direction, the y-axis of the coordinate axis is the central axis of the material, and the displacement of the coordinate point in the x-axis direction satisfies the following conditions:
；
Δx is the x coordinate compensation value of the measurement point, ax is the horizontal line shrinkage coefficient, x0 is the x coordinate value of the measurement point,mean temperature change in the horizontal direction;
the steady state temperature approximation on the central axis of the material is expressed as:
；
；
y is the y coordinate of the point on the central axis, tf is the glass softening point temperature, exp is an exponential function with the natural constant e as the bottom;
calculating to obtain the change delta x of the point x coordinate on the temperature equivalent surface, wherein the compensated x coordinate x' =x+delta x;
the temperature compensation calculation yields softening area external profile data denoted as a1, (x 1, y 1), a2, (x 2, y 2), a3, (x 3, y3,) … … an, (xn, yn,).
2. The method for measuring morphology of glass softening area for molding a mirror blank according to claim 1, wherein: the center of the clamp is provided with a stepped hole, the diameter of the upper hole of the stepped hole is larger than that of the lower hole, the upper hole of the stepped hole is in clearance fit with the cylindrical glass sample piece (4), and the clearance is 0.12mm.
3. The method for measuring morphology of glass softening area for molding a mirror blank according to claim 1, wherein: the diameter of the lower hole of the stepped hole of the clamp is 1.5-2.5 times of the diameter of the laser emission beam.
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|---|---|---|---|---|
| CN101365850A (en) * | 2005-05-06 | 2009-02-11 | 大卫·H·斯塔克 | Insulated glazing units and methods |
| CN108640534A (en) * | 2013-05-07 | 2018-10-12 | 康宁股份有限公司 | The glass-faced compensation molds of 3D for manufacturing ion exchange reinforcing |
| CN108917605A (en) * | 2018-07-13 | 2018-11-30 | 北京工业大学 | Laser traces system ZEMAX emulation mode based on double-wavelength method make-up air refractive index |
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