JPH09323129A - Real-time correction method for linear heating deformation calculation data - Google Patents

Abstract

(57) 【Abstract】 PROBLEM TO BE SOLVED: To correct a basic deformation equation indicating in-plane deformation δ and heating condition τ by measuring deformation during heating. SOLUTION: A heating condition τ and an in-plane deformation δ generated in a heating line of a heated plate by this heating condition are expressed by δ = kf (τ), and a shape deformation generated in the heated plate is calculated based on this equation. The shape deformation calculation means is used to measure the shape deformation U ^s at an arbitrary position of the heated plate caused by heating under the heating condition, and the shape deformation calculation means substitutes the heating condition applied to the heated plate to obtain the above. Let U ^{c be} the shape deformation at any position,
The difference ε between U ^s and U ^c is determined, n values in the vicinity of the reference value k ₀ are set as the value of k in the above equation, n differences are calculated using this k, and the difference | Let k be the correction coefficient that minimizes ε |.

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a correction method for correcting the deformation calculation data used for calculating the deformation due to linear heating so that the deformation caused by heating is corrected and brought close to the measured value.

[0002]

2. Description of the Related Art A linear heating method is widely used in which a flat plate is heated linearly to cause shrinkage deformation to be processed into a desired curved plate, or a distorted surface is linearly heated to form a flat surface. . This method was conventionally performed by relying on experience and intuition, but numerical methods have been developed due to advances in computers. As this method, the basic deformation equation δ = f (τ) represents the relationship between the deformation δ occurring in the heating wire and the heating condition τ when the flat plate is heated under a predetermined heating condition. Based on the shape calculation means (normal calculation program) that calculates the shape deformation when the condition τ is given, and this basic deformation formula,
A heating condition calculation means (normal calculation program) for calculating a heating condition for realizing a desired shape deformation is created based on experiments and actual data.

[0003]

When a flat plate, or a curved plate given an initial bending in some cases, is processed into a curved plate having a desired shape by linear heating, the heating condition calculation means uses the shape data of the desired curved plate, Given data such as initial state data and plate thickness,
The heating condition τ such as the heating amount, heating density, and heating direction is output. Therefore, heating is performed under this heating condition τ. Measure the shape deformation after heating. On the other hand, the heating condition τ is substituted into the shape deformation calculating means to calculate the shape deformation. When there is a difference between the measured value and the calculated value of this shape deformation that exceeds the allowable value, the basic deformation formula δ = f (τ) is corrected according to the measured value. However, there is a problem that this correction coefficient is obtained only after the heating process of the heated plate is completed, and it is not in time to correct the heating conditions of the heated plate.

The present invention has been made in view of the above-mentioned problems, and a basic deformation equation δ = representing the relationship between the in-plane deformation δ which is the basis for obtaining the heating condition and the deformed shape and the heating condition τ =
It is an object of the present invention to provide a method for correcting f (τ) by a deformation measurement value during heat processing.

[0005]

To achieve the above object, in the invention of claim 1, the heating condition τ and the in-plane deformation δ generated in the heating wire of the heated plate by heating under this heating condition are expressed by δ = k.
It is represented by f (τ), and the shape deformation calculation means for calculating the shape deformation occurring in the heated plate based on this formula is used to measure the shape deformation U ^s of the heated plate at an arbitrary position generated by heating under the heating condition. and, wherein the deformation calculation means to the shape deformation of the arbitrary position obtained by substituting the heating condition was added to the heated plate and U ^c, obtains a difference ε between the U ^s and U ^c, k of the formula The reference value k _o is set as a value of n, and n values in the vicinity thereof are set, n differences ε are calculated using this k, and k that minimizes the difference | ε | is set as a correction coefficient.

The shape deformation U ^s at an arbitrary position of the heated plate generated by heating under the heating condition is measured, and in parallel with this,
Or, in advance, the calculated value U ^c of the shape deformation under this heating condition
Is calculated by setting the value of k in the equation of δ = kf (τ) to the reference value k ₀ and values in the vicinity thereof. In other words, the value of U ^c can be n values set as the value of k. The difference between the measured value U ^s and the calculated value U ^c is compared, and k that minimizes the absolute value | ε | of the difference is used as the correction coefficient. As a result, the correction coefficient can be obtained easily and quickly. The reference value k ₀ is usually 1, and when the correction coefficient is 1, there is no correction.

In the invention of claim 2, the heating condition τ and this addition
In-plane deformation of the heating wire of the plate to be heated due to heating under thermal conditions
δ is expressed as δ = kf (τ), and the heating
Uses shape deformation calculation means to calculate the shape deformation that occurs in the plate
Heated plate under each heating condition for m different heating conditions
Deformation at arbitrary position when heating_iU^s, (I = 1
~ M) is measured, and the shape deformation calculation means is used for the heating strips.
When substituting the case_iU^sHeating conditions corresponding to, arbitrary position
The calculated value of the shape deformation in_iU^cage,_iU^sWhen_iU^cWhen
Absolute value of difference | ε_i｜ ＝ ｜_iU^s−_iU^c｜ Sum E
= | Ε₁│ + │ε _Two│ ＋ …… ＋ ｜ ε_m| And the above equation
Reference value k as the value of k₀Set n values in the vicinity, including
Then, using this k, n sums are calculated and the sum E is minimized.
Let k be the correction coefficient.

According to the present invention, when m heating conditions are sequentially carried out, the shape _i U ^s generated for each heating condition is measured,
The calculation deformation corresponding to this heating condition is _i U ^c, and _i U ^s
And the value of k for the sum E of the absolute value of the difference between _i U ^c and n
Individually set, E is calculated for each value of k, and k at which E is the minimum
The value of is the correction coefficient. As a result, the correction coefficient is obtained from the m measurement values, so that the accuracy is improved. The number of heating conditions (number of passages) means one state of simultaneous heating.
For example, when two heatings are performed at the same time, the number is one, but when one heating is performed and the next one is heated,
The first heating is one way, and the further heating is the second heating condition. It should be noted that “m ways” means a value smaller than the total number of heatings, for example, when 5 of 20 heating conditions in which a total of 20 heating lines are sequentially heated are used. A value that allows the heating conditions to be modified is preferable.

According to the third aspect of the invention, the heating condition τ and the in-plane deformation δ generated in the heating wire of the plate to be heated by heating under this heating condition are expressed by the following formula (1), and based on this formula (1) The shape deformation calculation means for calculating the shape deformation generated in the heated plate is used to measure the shape deformation U ^s of the heated plate at an arbitrary position generated by heating under the heating condition, and the shape deformation calculation means is used for the heated plate. Let U ^{c be} the shape deformation at the arbitrary position obtained by substituting the heating condition added to U ^c, and the difference ε between U ^s and U ^c
Then, n values of C _a, C _b, C _{c, and} C _{d in} the equation (1) including the reference value C ₀ are set in the vicinity thereof to make n ⁴ combinations, and The difference ε is calculated, and the combinations C _{a and} C that minimize the difference | ε |
The values of _{b, Cc, and Cd} are used as correction coefficients. Note δ _mT = C _a f _a (τ) δ _bT = C _b f _b (τ) ...... (1) δ _mL = C _c f _c (τ) δ _bL = C _d f _d (τ) δ _mT is heated Uniform deformation in the plate thickness in the direction perpendicular to the line δ _bT is deformation of the plate surface in the direction perpendicular to the heating line δ _mL is uniform deformation in the plate thickness in the direction of the heating line δ _bL is plate surface in the heating line direction C _a, C _b, C _c, C _d are correction factors

In the present invention, four in-plane deformations δ are actually generated.
Of the basic transformation formula that generates these four values.
It seeks a number. Here, the deformation is in the direction perpendicular to the heating wire.
Of δ _TAnd δ in the heating line direction_LAnd evenly in the thickness direction
Resulting deformation δ_mT,δ_mLChange in the plate thickness direction due to bending action.
Deformation of the plate surface, which becomes the maximum value due to the deformation_bT,δ_bLso
Represent. Each deformation δ_mT,δ_bT,δ_mL,δ_bLBasic transformation formula
f_a(Τ), f_b(Τ), f_c(Τ), f_d(Τ) is fixed
Positive coefficient C_a, C_b, C_c, C_dHave, each is common
N values of For example, n = 3, 1,0.8,
Take 1.2. However, each C_a, C_b, C_c, C_dIs 3
Because you can take either of 3^FourStreet combination
Occurs. The present invention uses all combinations n^Fourabout
Similar to the invention of claim 1, the difference | ε between the measured value and the calculated value
| And the combination of C that minimizes this difference_a, C_b,
C_c, C_dIs the correction coefficient.

In the invention of claim 4, the heating condition τ and this addition
In-plane deformation of the heating wire of the plate to be heated due to heating under thermal conditions
δ is expressed by the following equation (1), and based on this equation (1)
Shape-deformation calculating means for calculating the shape-deformation that occurs in the heated plate
Use m to set m different heating conditions and heat under each heating condition
Deformation at arbitrary position when the plate is heated_iU^s, (I =
1-m), and the above-mentioned heating is applied to the shape deformation calculation means.
When the condition is substituted, _iU^sHeating conditions corresponding to
The calculated value of the shape deformation at the position_iU^cage,_iU ^sWhen_iU
^cAbsolute value of difference with_i｜ ＝ ｜_iU^s−_iU^c｜ Sum E
E = | ε₁│ + │ε_Two│ ＋ …… ＋ ｜ ε_m| And the above
C in equation (1)_a,C_b,C_c,C_dReference value as each value of
C₀, N values in the vicinity are set, and n^FourStreet set
Make a match and calculate the sum E for each combination
And the combination C that minimizes the sum E_a,C_b,C_c,
C_dThe value of is the correction coefficient. Note δ_mT= C_af_a(Τ) δ_bT= C_bf_b(Τ) …… (1) δ_mL= C_cf_c(Τ) δ_bL= C_df_d(Τ) δ_mTIs the uniform deformation in the plate thickness in the direction perpendicular to the heating wire δ_bTIs the deformation of the plate thickness surface in the direction perpendicular to the heating line δ_mLIs the uniform deformation in the plate thickness in the heating line direction δ_bLIs the deformation of the plate thickness surface in the heating line direction C_a,C_b,C_c,C_dIs the correction factor

In the present invention, as in the third aspect of the invention, the in-plane deformation δ has four values, and these values are expressed by four basic deformation equations.
Further, as in the case of the invention of claim 2, after performing m kinds of heating conditions, the sum E of the errors of n ⁴ kinds of combinations of C _a, C _b, C _{c, and} C _d is obtained, and the sum E becomes the minimum. The combinations C _a, C _b, C _{c, and} C _d are used as the correction coefficients.

According to the fifth aspect of the present invention, each difference | ε _i | of the equation for calculating the sum E is multiplied by a weighting coefficient g _i, and the sum E = g ₁ | ε ₁ |
+ G ₂ | ε ₂ | + ... + g _m | ε _m |.

When a desired curved plate is obtained under a plurality of heating conditions, the error between the measured value and the calculated value obtained by the first heating condition with a small number of heatings and the error obtained after many heatings are performed. , Reliability is different. Therefore, an appropriate correction coefficient can be obtained by weighting each error.

In the invention of claim 6, the measured values U ^s , _i
U ^s is a value that stores the relationship between the shape deformation during heating and the shape deformation after cooling as data in advance and corrects the deformed shape during heating to be the shape deformation after cooling. Is.

The principle of bending by applying shrinkage deformation by linear heating utilizes shrinkage deformation that occurs when cooling is performed after heating. For this reason, the value obtained by measuring the shape deformation under heating at a high temperature does not represent the correct shape deformation value. Therefore, the invention described in claims 1 to 5 described above is established when the shape deformation in the cooled state after heating under one heating condition is measured. However, in actual practice, when one heating condition ends, heating is immediately started under the next heating condition. Therefore, in the present invention, the relationship between the shape deformation during heating and the shape deformation after cooling is accumulated in the data from the results of the verification test and the bending work, and the measured value of the deformed shape during heating is stored in this data. The value that is corrected based on the shape deformation after cooling is the measured value U
^Used as ^s and _i U ^s .

[0017]

BEST MODE FOR CARRYING OUT THE INVENTION Embodiments of the present invention will be described below with reference to the drawings. FIG. 1 is a diagram for explaining an implementation state of heating by a linear heating device. The heating device 2 is set on the metal heating target plate 1 to be bent. Heating device 2
There are two types, one is stationary at the heating position and heats a predetermined length of the heating wire for a certain time, and the other is moving on the set heating wire while heating at a constant speed. The shape deformation measuring device 3 is mounted on the heating device 2, and the relative displacement with respect to the reference portion 4 installed outside the heated plate 1 is measured to measure the plane position (X, Y) and the position in the height direction Z. To do. The reference unit 4 irradiates the shape deformation measuring device 3 with, for example, a laser beam to provide a reference for measuring the displacement in the height direction Z.

FIG. 2 is a diagram showing the dimensional relationship when the deformation remaining on the plate after heating and cooling with a linear static heating source of length l _H for a certain period of time is obtained as an average value over the heating line l _H. FIG. 3 shows the in-plane deformation δ occurring in the direction perpendicular to the heating line H.
It is a figure explaining the in-plane uniform deformation (delta) _L which arises in the direction of _T and the heating line H. Fig. 4 shows the uniform deformation δ _m within the plate thickness that uniformly occurs in the plate thickness direction due to shrinkage after heating, and Fig. 5 shows the in-plane bending that occurs while changing in the plate thickness direction due to bending shrinkage after heating. Deformation is shown.

FIG. 6 shows in-plane uniform deformation after heating and cooling by the linear static heating source shown in FIG. The horizontal axis is the heating condition τ
Is expressed by the heat input amount, the heating time, etc., and the vertical axis represents the in-plane uniform deformation δ _mT, δ _{mL in} the two directions shown in FIG. δ
= Kf (τ), the solid line is k = 1, and the broken line is k =
The case where 0.8 or k = 1.2 is shown.

FIG. 7 shows bending deformation generated in the plane by bending contraction after heating by the linear static heating source shown in FIG. 2 and cooling. The horizontal axis shows the same heating condition τ as in FIG. 6, and the vertical axis shows the plane. The resulting bending deformations are the deformations δ _{bT and} δ _bL in the two directions shown in FIG. The solid line represents k = 1 and the broken line represents k = 0.8 or k = 1.2, which is represented by the equation of δ = kf (τ).

The modified equations shown in FIGS. 6 and 7 are called reference modified equations, and in the present invention, they are represented by the equation (1) shown above. C _a,
C _b, C _{c, and} C _d represent the value of k for each equation. An expression in which the value of C ( _a generic term for C _a, C _b, C _{c, and} C _d ) is 1 was obtained in the experiment, and C is 1 if the actual heating state is the same as the experimental state. is there. Input the heating condition τ (in this case, not only the heating time and heat input amount but also the heating position, heating wire density, heating wire direction, etc.) and output the shape deformation after heating. When inputting the shape deformation means (usually a calculation program) or the desired shape deformation data, the heating condition calculation means (normal calculation program) that outputs the heating condition that causes this deformation is
It is made based on this basic transformation formula.

In this embodiment, the basic deformation formulas used in the shape deformation calculating means and the heating condition calculating means thus created are used to measure the shape deformation generated during heating,
The correction is made so that the heating conditions for obtaining the actual shape deformation and the desired curved surface can be calculated. If the shape deformation calculated by the shape deformation calculation means does not match the actual measurement value, or if the desired curved surface shape is not obtained even when heated under the heating conditions output by the heating condition calculation means, the actual heating conditions and the basic deformation formula The created state is often different. In such a case, it is more realistic to modify the basic deformation formula by setting the heating condition to a condition that can be carried out in actual work, rather than matching the condition that created the basic deformation formula. Therefore, Cf (τ) obtained by multiplying the equation f (τ) obtained by the experiment by the correction coefficient C is used, and the value of C is obtained by the shape deformation caused by the heating actually performed.

FIG. 8 is a flow chart for explaining the operation of this embodiment. In the present embodiment, there are M required heating conditions, and when one heating is performed one by one and heating is performed M times to form a desired curved surface shape, the basic deformation formula is corrected on the way, and as a result, A description will be given of the case where the heating condition is corrected based on First, a desired curved surface shape is determined, and data such as this shape and the plate thickness and size of the material to be heated are input to the heating condition calculation means, and as a result, M heating conditions are sequentially executed one by one. Specifically, when a certain position is linearly heated (two or more may be heated at the same time), the next position is heated, and this is sequentially repeated. One type of heating is heating performed at the same time, and is one type of heating regardless of how many are heated at the same time. The heating condition defines the heating condition for each one of them, and also defines the number of times (how many) such heating is performed and the order thereof.

Heating is performed one by one according to the heating conditions,
The heating is performed according to the _i-th heating condition τ _i , and when the heating is finished, the shape deformation of the material to be heated 1, particularly the deformation in the Z-axis direction, is measured, and this measurement value is set as _i U ^s (S1). In addition,
This _i U ^s is a value corrected to the deformation caused in the cooled state by multiplying the value measured in the state where the heated plate 1 is not cooled by the correction value. In parallel with this, or in advance, under the same heating condition τ _i , and the correction coefficients C _a, C _{b, of the} equation (1) _,
3 ⁴ = 8 where C _{c and} C _d are 1, 1.2 and 0.8, respectively
Calculate the calculated value _i U ^c _j for one combination,
Here, 81 = _i U ^c are obtained with j = 1 to 81 (S2). It should be noted that C is set to 1, 1.2, 0.8 as an example, other numbers may be used, and it is not necessary to set n = 3.

In this way, one measured value_iU^sAgainst
81_iU^c _jDifference with_iε_j= _iU^s−_iU_j ^cTo
Ask for 81. In this way, C per heating condition
N is the value^FourError_iFind ε, (S3),
Repeat this process until m heating conditions
(S4). This gives m × n^FourTo get the street error ε
Can be.

Next, m differences obtained under m heating conditions for each one combination of C | ₁ ε _j | _, | ₂ ε _j |, ...
... | _m ε _j | multiplied by the weighting coefficient g _i , the sum E _j = g ₁ | _{1
ε j | + g 2 | 2} ε j | + ...... + g m | m ε j | look, which obtains ^four j = n combinations of C. That is, when n = 3, E ₁ , E ₂ , ... E _{81 are obtained} (S5).
The weight coefficient g _i is small for small values of i and large for large values. This is because the larger i is, the more the number of times of heating is increased, the larger the deformation is, and the more accurate the error is.

Next determine the value of _{C a, C b, C c} , C d used for calculation of E _j comprising the inner smallest E _j calculated in this manner (S6). When all the values of C are close to 1, it is not necessary to modify the basic transformation formula. Various data used for the heating condition calculation means and the shape deformation calculation means based on the value of C and the basic deformation formula are referred to as a database, and it is determined whether the database needs to be changed according to the value of C (S7). If the value of C is different from 1, C is corrected to that value, and the heating condition calculation means is corrected accordingly (S8). The modified heating condition calculation means outputs the heating conditions again, the heating conditions that have been implemented up to now are modified (S9), and heating is continued based on this.

In the above embodiment, the value of C is corrected when m heating conditions are used. More than a certain number as the value of m,
For example, if the value is 10 or more, it is possible to grasp the global tendency without being influenced by the local disturbance, and it is possible to surely approach the target curved surface shape globally.

On the contrary, in order to grasp the local delicate influence, in the case of heating lines having the same or similar attributes, for example, the data of only the heating line at the plate edge is extracted and the measured value is obtained. It is also possible to determine the error of the calculated value and determine the value of C.

In the embodiment, the value of the correction coefficient C is determined after performing the n heating conditions, but the values of C _a, C _b, C _{c, and} C _d are determined for each heating condition ( (corresponding to the case of m = 1), m number of executions of m C _a, C _b, C _c, C
obtains the value of _d, 1 the values of C _a determined variance and the average value of C _a
It is also possible to consider whether to correct from the above, and to perform the same study for C _a, C _b, C _{c, and} C _d .

[0031]

As is apparent from the above description, the present invention can promptly correct the basic deformation formula which is the basis for calculating the shape deformation and the heating condition from the measured value of the shape deformation during heating. . As a result, it becomes possible to correct the heating condition being executed based on the correction data, and it is possible to increase the probability of approaching the target bending deformation shape.

[Brief description of drawings]

FIG. 1 is a diagram showing an example of a linear heating apparatus for carrying out the present invention.

FIG. 2 is a diagram showing a heating wire and a dimensional relationship for guiding a basic deformation formula.

[FIG. 3] In-plane deformation δ _T, δ in the same direction as the direction perpendicular to the heating line H
It is a figure explaining _L.

FIG. 4 is a diagram showing uniform deformation δ _m in the plate thickness direction due to contraction after heating.

FIG. 5 shows in-plane bending deformation that occurs while changing in the plate thickness direction due to bending contraction after heating.

FIG. 6 is a diagram showing an example in which a basic deformation equation expressing the relationship between the in-plane uniform deformations δ _mT and δ _mL and the heating conditions is experimentally obtained and the case where it is modified.

FIG. 7 is a diagram showing an example in which a basic deformation equation representing the relationship between δ _{bT and} δ _bL generated by in-plane bending shrinkage and heating conditions was experimentally obtained and an example in which the basic deformation equation was modified.

FIG. 8 is an operation flow chart of the present embodiment.

[Explanation of symbols]

 1 Heated Plate 2 Heating Device 3 Shape Deformation Measuring Device 4 Reference Part

Claims (6)

[Claims] 1. A heating condition τ and an in-plane deformation δ generated in a heating wire of a heated plate by heating under this heating condition are expressed by δ = kf
It is represented by (τ), and the shape deformation calculation means for calculating the shape deformation occurring in the heated plate based on this equation is used to measure the shape deformation U ^s of the heated plate at an arbitrary position generated by heating under heating conditions. , the shape deformation of the arbitrary position obtained by substituting the heating condition was added to the heated plate to the deformation calculation means and U ^c, obtains a difference ε between the U ^s and U ^c, k of the formula
N values including the reference value k _o are set as values of n, and n differences ε are calculated using this k, and k that minimizes the difference | ε | is used as a correction coefficient. A real-time correction method for linear heating deformation calculation data. 2. The heating condition τ and the in-plane deformation δ generated in the heating wire of the heated plate by heating under this heating condition are expressed by δ = kf
It is represented by (τ), and the shape deformation calculation means for calculating the shape deformation generated in the heated plate based on this equation is used, and the arbitrary heating condition is applied to each of the heating conditions under m heating conditions. The shape deformation _i U ^s , (i = 1 to ^m ) of the position is measured,
When each heating condition is substituted into the shape deformation calculation means
_{Let i} U ^c be the heating value corresponding to _i U ^s and the calculated value of shape deformation at an arbitrary position, and the absolute value of the difference between _i U ^s and _i U ^c | ε
^{_{i | = | i U s -}} i U c | of the sum _{E E = | ε 1 | +} | ε
₂ | + ... + | ε _m |, n values in the vicinity are set including the reference value k ₀ as the value of k in the above equation, and n different sums are calculated using this k to obtain the sum E. A real-time correction method for linear heating deformation calculation data, wherein a minimum k is used as a correction coefficient. 3. The heating condition τ and the heating of these heating conditions
The in-plane deformation δ that occurs in the heating wire of the heated plate is described in (1) below.
It is expressed by a formula, and the shape that occurs on the heated plate based on this formula (1)
Using the shape deformation calculation means that calculates the shape deformation,
Shape change at any position of the heated plate caused by heating
Shape U^sIs measured and applied to the plate to be heated by the shape deformation calculation means.
The shape change at the arbitrary position obtained by substituting the heating conditions
U shape ^cAnd U^sAnd U^cAnd the difference ε with
C_a,C_b,C_c,C_dReference value C as each value of₀Including
Set n values in the vicinity and n^FourMake a street combination
Then, the difference ε is calculated for each combination, and the difference | ε |
C that minimizes_a,C_b,C_c,C_dThe value of the
The linear heating deformation calculation data is characterized by using
How to correct data in real time. Note δ_mT= C_af_a(Τ) δ_bT= C_bf_b(Τ) …… (1) δ_mL= C_cf_c(Τ) δ_bL= C_df_d(Τ) δ_mTIs the uniform deformation in the plate thickness in the direction perpendicular to the heating wire δ_bTIs the deformation of the plate thickness surface in the direction perpendicular to the heating line δ_mLIs the uniform deformation in the plate thickness in the heating line direction δ_bLIs the deformation of the plate thickness surface in the heating line direction C_a,C_b,C_c,C_dIs the correction factor 4. The heating condition τ and the heating of these heating conditions
The in-plane deformation δ that occurs in the heating wire of the heated plate is described in (1) below.
It is expressed by a formula, and the shape that occurs on the heated plate based on this formula (1)
Using the shape deformation calculation means that calculates the shape deformation,
m number of settings and when heating the heated plate under each heating condition
Shape deformation at arbitrary position_iU^s, (I = 1 to m) is measured,
When the respective heating conditions are substituted in the shape deformation calculation means,
Come_iU ^sHeating conditions corresponding to, shape deformation at any position
The calculated value of_iU^cage,_iU^sWhen _iU^cAbsolute value of the difference from
│ε_i｜ ＝ ｜_iU^s−_iU^cThe sum E of | is E = | ε₁│ +
│ε_Two│ ＋ …… ＋ ｜ ε_m| And C in the above formula (1)_a,
C_b,C_c,C_dReference value C as each value of₀The vicinity including
Set n adjacent values, n^FourMake street combinations, each
The sum E is calculated for the combination, and the sum E is minimized.
Combination of C_{a ,}C_b,C_c,C_dValue of the correction factor
The rear of the linear heating deformation calculation data is characterized by
How to fix real time. Note δ_mT= C_af_a(Τ) δ_bT= C_bf_b(Τ) …… (1) δ_mL= C_cf_c(Τ) δ_bL= C_df_d(Τ) δ_mTIs the uniform deformation in the plate thickness in the direction perpendicular to the heating wire δ_bTIs the deformation of the plate thickness surface in the direction perpendicular to the heating line δ_mLIs the uniform deformation in the plate thickness in the heating line direction δ_bLIs the deformation of the plate thickness surface in the heating line direction C_a,C_b,C_c,C_dIs the correction factor 5. The sum E = g ₁ | ε ₁ | + g ₂ | ε ₂ | + ... by multiplying each difference | ε _i | of the calculation formula of the sum E by a weighting factor g _i
... + g _m | ε _m |, wherein the linear heating deformation calculation data is corrected in real time according to claim 2 or 4. 6. The measured values U ^s and _i U ^s are stored in advance as data on the relationship between the shape deformation during heating and the shape deformation after cooling, and the deformed shape during heating is stored in this data. 6. The real-time correction method for linear heating deformation calculation data according to claim 1, wherein the value is corrected based on the shape deformation after cooling.