JPH0445085B2 - - Google Patents
Info
- Publication number
- JPH0445085B2 JPH0445085B2 JP5943987A JP5943987A JPH0445085B2 JP H0445085 B2 JPH0445085 B2 JP H0445085B2 JP 5943987 A JP5943987 A JP 5943987A JP 5943987 A JP5943987 A JP 5943987A JP H0445085 B2 JPH0445085 B2 JP H0445085B2
- Authority
- JP
- Japan
- Prior art keywords
- plate
- thickness
- measured
- absorption coefficient
- mass absorption
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired
Links
Landscapes
- Length-Measuring Devices Using Wave Or Particle Radiation (AREA)
Description
〔産業上の利用分野〕
本発明は例えば圧延鋼板の板厚を放射線を用い
て測定する方法に関する。
〔従来技術〕
圧延鋼板の板厚を測定する一方法に放射線透過
方式があり、これは圧延鋼板に対して放射線を透
過させ、その透過量Itを検出し、予め設定された
演算式に代入して、板厚を算出するものである。
次に板厚tを求める一般式を示す。
t=1/μm・ρ・lnIo/It …(1)
ここで
ρ:板の密度
μm:板の質量吸収数
Io:放射線源と検出器との間に板がない場合の放
射線検出量
It:放射線検出量
である。
前記(1)式における板の質量吸収係数μmは次に
示す演算式(2)によつて求められる。
μm=
〓i
μmiAi/100 …(2)
但し、
μmi:構成元素iの質量吸収係数
Ai:構成元素iの構成百分率(%)
である。
そして板の密度ρは次に示す演算式(3)によつて
求められる。
但し
ρs:純鉄の密度(≒7.86g/cm3)
ai:Aiについて定まる係数
である。
つまり、予め質量吸収係数μmと密度ρとを成
分構成の分析結果に基づいて上述の(2)及び(3)式に
よつて算出し、この算出結果と放射線検出量とが
(1)式に代入され板厚tが算出される。
〔発明が解決しようとする問題点〕
ところで前記質量吸収係数μmは理論的には板
厚に関係せず構成元素ごとに特定の値となるはず
であるが、見掛け上、板厚に関係する性質、即ち
板厚依存性を示すことが公知であつた。このため
ある2種の元素A及びBによつて構成される板に
ついて例えば元素Aのある板厚t1における板厚サ
ンプル板を用い、見掛け上の板厚依存性曲線を作
成しておけば、この板厚依存性曲線が元素Bにつ
いての板厚依存性をも代表することができるとさ
れてきた。
つまり、元素A及びBの板厚t1におけるμmの
値の比、μmBt1/μmAt1によつて決定される
板厚依存性曲線は板厚がt1以外の値であつても同
じ板厚依存性曲線を有するとしていたのである。
具体的に説明すると、測定対象板の概略の板厚
がt2の場合、元素Aにおける質量吸収係数μm
At2を用いて元素Bにおける質量吸収係数μm
Bt2を算出するという方法が行われており、μm
Bt2は、
μmBt2=μmAt2×μmBt1/μmAt1
として求められてきた。
ところが実際にはμm値の比、μmB/μmA
は一定ではなく板厚によつて異なることが判明し
た。即ち元素ごとに板厚依存性を示す曲線の形が
異なり、一つの元素の板厚依存性曲線を代表して
用い、他の元素の質量吸収係数μmを求めると誤
差が生じることが本発明者の研究によつて明らか
にされた。
本発明は斯かる事情に鑑みてなされたものであ
り、元素ごとに異なる板厚依存性曲線に対応して
質量吸収係数μmを求め測定精度の向上を図つた
放射線板厚測定方法の提供を目的とする。
〔問題点を解決するための手段〕
本発明に係る放射線板厚測定方法は、測定対象
となる板に放射線を透過させて検出される放射線
透過量と、測定対象板を構成する各元素の密度及
び測定対象板の質量吸収係数とを用いて板厚を演
算する放射線板厚測定方法において板厚依存性を
有する各元素固有の質量吸収係数を測定対象板の
概略の板厚に対して個々に算出し、この算出結果
を用いて前記測定対象板の質量吸収係数を求める
ことを特徴とする。
〔作用〕
測定対象板の質量吸収係数は測定対象板の概略
の板厚に対して個々に算出される各元素固有の質
量吸収係数を用いることによつて求められ、この
結果と測定対象板の密度と放射線透過量とによつ
て測定対象板の板厚が演算される。
〔実施例〕
以下本発明をその実施例によつて説明する。本
発明は測定対象板を構成する各元素の質量吸収係
数μmを正確に算出することにより、高精度の板
厚測定を実現するものである。μmを算出する方
法には2通りの方法があり、いずれも予め各元素
のμm値と板厚との関係を示す曲線、即ち見掛け
上板厚依存性を示す曲線を実測データ等から作成
したものを用いる。そしてμm値の算出において
第1の方法は測定対象板の概略の板厚、即ち圧延
機等の製造目標板厚あるいは公称板厚を設定板厚
tsとして、これより各元素の設定板厚tsに対応す
るμm値である各μmi(ts)、(iは構成元素を
示す)を前記板厚依存性曲線から求め、これらの
μmi(ts)と成分構成%値Aiとから次に示す(4)
式によつてμmを算出する。
μm=
〓i
{μmi(ts)・Ai/100} …(4)
第2の方法は同じく実測データ等からμm値と
板厚との板厚依存性曲線を作成した後に、次に
βi(tj)=μmi(tj)/μmk(tj)
を示す曲線を作成する。
βi(tj)は各板厚tjにおける基本とする元素(例
えばFe)のμm値、即ちμmk(tj)に対する他
の元素のμm値であるμmi(tj)の比である。
そしてβi(tj)を測定対象板の概略の板厚であ
る設定板厚tsについて求めたβi(ts)と、各元素
の成分構成%値Aiとから次に示す(5)式によつて
μmを算出する。
μm=
〓i
{μmk(ts)・βi(ts)・Ai/100} …(5)
次に第(2)式に示す従来方法と本発明における第
(4)式に示す方法とを用い、その数値例を説明す
る。
[Industrial Application Field] The present invention relates to a method of measuring the thickness of a rolled steel plate using radiation, for example. [Prior art] One method of measuring the thickness of a rolled steel plate is the radiation transmission method, which involves transmitting radiation through the rolled steel plate, detecting the amount of transmission It, and substituting it into a preset calculation formula. Then, the plate thickness is calculated. Next, a general formula for determining the plate thickness t is shown. t=1/μm・ρ・lnIo/It …(1) where ρ: Density of the plate μm: Mass absorption number Io of the plate: Detected amount of radiation It when there is no plate between the radiation source and the detector: This is the amount of radiation detected. The mass absorption coefficient μm of the plate in the above equation (1) is determined by the following calculation equation (2). μm= 〓 i μmiAi/100 (2) where μmi: Mass absorption coefficient of constituent element i Ai: Constituent percentage (%) of constituent element i. Then, the density ρ of the plate is obtained by the following equation (3). However, ρs: density of pure iron (≒7.86 g/cm 3 ) ai: coefficient determined for Ai. In other words, the mass absorption coefficient μm and the density ρ are calculated in advance using the above equations (2) and (3) based on the analysis results of the component composition, and the calculated results and the detected amount of radiation are calculated in advance.
Substituting into equation (1), the plate thickness t is calculated. [Problem to be solved by the invention] By the way, the mass absorption coefficient μm should theoretically be a specific value for each constituent element regardless of the plate thickness, but apparently it is a property related to the plate thickness. , that is, it was known to exhibit plate thickness dependence. For this reason, for a plate composed of two types of elements A and B, for example, by using a sample plate with a plate thickness of t 1 with element A and creating an apparent plate thickness dependence curve, It has been said that this thickness dependence curve can also represent the thickness dependence of element B. In other words, the plate thickness dependence curve determined by the ratio of μm values of elements A and B at plate thickness t 1 , μmBt 1 /μmAt 1 , is the same even if the plate thickness is a value other than t 1 . They assumed that it had a dependence curve. To explain specifically, when the approximate thickness of the plate to be measured is t2 , the mass absorption coefficient μm of element A
Mass absorption coefficient μm in element B using At 2
A method of calculating Bt 2 is used, and μm
Bt 2 has been determined as μmBt 2 =μmAt 2 ×μmBt 1 /μmAt 1 . However, in reality, the ratio of μm values, μmB/μmA
was found to be not constant but to vary depending on the plate thickness. In other words, the shape of the curve showing thickness dependence differs for each element, and the inventors have discovered that using the thickness dependence curve of one element as a representative to determine the mass absorption coefficient μm of other elements will result in an error. This was revealed through research. The present invention has been made in view of the above circumstances, and an object of the present invention is to provide a radiation plate thickness measurement method that improves measurement accuracy by determining the mass absorption coefficient μm corresponding to the plate thickness dependence curve that differs for each element. shall be. [Means for Solving the Problems] The radiation plate thickness measurement method according to the present invention allows radiation to pass through the plate to be measured and detects the amount of radiation transmitted and the density of each element constituting the plate to be measured. In the radiation plate thickness measurement method, which calculates the plate thickness using the mass absorption coefficient and the mass absorption coefficient of the plate to be measured, the mass absorption coefficient specific to each element having thickness dependence is calculated individually for the approximate thickness of the plate to be measured. The method is characterized in that the mass absorption coefficient of the plate to be measured is determined using the calculation result. [Operation] The mass absorption coefficient of the plate to be measured is determined by using the mass absorption coefficient specific to each element, which is calculated individually for the approximate thickness of the plate to be measured, and this result is combined with the mass absorption coefficient of the plate to be measured. The thickness of the plate to be measured is calculated based on the density and the amount of radiation transmission. [Examples] The present invention will be explained below with reference to Examples. The present invention realizes highly accurate plate thickness measurement by accurately calculating the mass absorption coefficient μm of each element constituting the plate to be measured. There are two methods for calculating μm. In both cases, a curve showing the relationship between the μm value of each element and the plate thickness, that is, a curve showing the apparent dependence on the plate thickness, is created from actual measurement data, etc. Use. In calculating the μm value, the first method is to set the approximate thickness of the plate to be measured, that is, the manufacturing target thickness or nominal thickness of the rolling mill, etc.
As ts, each μmi(ts), which is the μm value corresponding to the set plate thickness ts of each element (i indicates the constituent element), is determined from the thickness dependence curve, and these μmi(ts) and From the component composition % value Ai, the following is shown (4)
Calculate μm using the formula. μm= 〓 i {μmi(ts)・Ai/100} …(4) In the second method, after creating a plate thickness dependence curve between μm value and plate thickness from actual measurement data, next βi(tj )=μmi(tj)/μmk(tj). βi (tj) is the ratio of μmi (tj), which is the μm value of other elements, to μm value of the basic element (for example, Fe), ie, μmk(tj), at each plate thickness tj. Then, βi (tj) is calculated in μm from βi (ts) obtained for the set plate thickness ts, which is the approximate plate thickness of the plate to be measured, and the component composition % value Ai of each element using the following equation (5). Calculate. μm= 〓 i {μmk(ts)・βi(ts)・Ai/100} …(5) Next, the conventional method shown in equation (2) and the method of the present invention
A numerical example will be explained using the method shown in equation (4).
【表】【table】
以上、本発明においては各元素毎によつて板厚
依存性曲線が異なることを考慮し、各元素個々の
板厚依存性に基づいて質量吸収係数μmを算出す
る為、板厚測定精度が向上する等、本発明は優れ
た効果を奏する。
As described above, in the present invention, the mass absorption coefficient μm is calculated based on the individual thickness dependence of each element, taking into account that the thickness dependence curve is different for each element, so the accuracy of plate thickness measurement is improved. The present invention has excellent effects such as:
Claims (1)
される放射線透過量と、測定対象板を構成する各
元素の密度及び測定対象板の質量吸収係数とを用
いて板厚を演算する放射線板厚測定方法におい
て、 板厚依存性を有する各元素固有の質量吸収係数
を測定対象板の概略の板厚に対して個々に算出
し、この算出結果を用いて前記測定対象板の質量
吸収係数を求めることを特徴とする放射線板厚測
定方法。[Claims] 1. The plate thickness is determined using the amount of radiation transmitted through the plate to be measured and detected, the density of each element constituting the plate to be measured, and the mass absorption coefficient of the plate to be measured. In the radiation plate thickness measurement method, the mass absorption coefficient specific to each element having thickness dependence is calculated individually for the approximate thickness of the plate to be measured, and this calculation result is used to calculate the thickness of the plate to be measured. A radiation plate thickness measurement method characterized by determining the mass absorption coefficient of.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP5943987A JPS63225114A (en) | 1987-03-13 | 1987-03-13 | Radiation plate thickness measurement |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP5943987A JPS63225114A (en) | 1987-03-13 | 1987-03-13 | Radiation plate thickness measurement |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS63225114A JPS63225114A (en) | 1988-09-20 |
| JPH0445085B2 true JPH0445085B2 (en) | 1992-07-23 |
Family
ID=13113311
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP5943987A Granted JPS63225114A (en) | 1987-03-13 | 1987-03-13 | Radiation plate thickness measurement |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS63225114A (en) |
Families Citing this family (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2002350120A (en) * | 2001-05-23 | 2002-12-04 | Anritsu Corp | Method for measuring thickness by x-ray and x-ray thickness measuring apparatus |
| JP7298577B2 (en) * | 2020-10-01 | 2023-06-27 | Jfeスチール株式会社 | Plate thickness calculation method, plate thickness control method, plate material manufacturing method, plate thickness calculation device, and plate thickness control device |
-
1987
- 1987-03-13 JP JP5943987A patent/JPS63225114A/en active Granted
Also Published As
| Publication number | Publication date |
|---|---|
| JPS63225114A (en) | 1988-09-20 |
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