System and Method for Variable Perforation Profiles in a Stack of Lottery Tickets Based on Fold Pattern
US-2017361397-A1 · Dec 21, 2017 · US
US10131018B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-10131018-B2 |
| Application number | US-201314390110-A |
| Country | US |
| Kind code | B2 |
| Filing date | Apr 24, 2013 |
| Priority date | Apr 27, 2012 |
| Publication date | Nov 20, 2018 |
| Grant date | Nov 20, 2018 |
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A grain-oriented magnetic steel sheet includes grooves each of which extends in a direction intersecting a transportation direction, the grooves being formed at predetermined pitches PL in the transportation direction by laser beam irradiation, in which a relationship between a standard deviation value D and the pitch PL satisfies the following expression (1), the standard deviation value D being a standard deviation of distances between a linear approximation line, which is obtained from a center line of each of the grooves in a groove width direction by a least-squares method, and respective positions on the center line, and an average angle formed between tangent lines of the respective positions on the center line and a direction perpendicular to the transportation direction is more than 0° to 30°. [Expression 1] 0.02≤( D/PL ) (1)
Opening claim text (preview).
The invention claimed is: 1. A grain-oriented magnetic steel sheet comprising grooves each of which extends in a direction intersecting a transportation direction, the grooves being formed at predetermined pitches PL in the transportation direction by laser beam irradiation, wherein a melt-resolidified portion is formed in the grooves, wherein each of the grooves is formed to be curved in a length L c when viewed from a direction perpendicular to a surface of the grain-oriented magnetic steel sheet, wherein multiple grooves are formed in the direction intersecting the transportation direction, and wherein a relationship between a standard deviation value D which is defined by the following expression (2) and the pitch PL satisfies the following expression (1), the standard deviation value D being a standard deviation of distances between a linear approximation line, which is obtained from a center line of each of the grooves in a groove width direction by a least-squares method, and respective positions on the center line, and an average angle formed between tangent lines of the respective positions on the center line and a direction perpendicular to the transportation direction is more than 0° to 30° 0.02 ≤ ( D / PL ) ( 1 ) D = 1 L C ∫ 0 L C d X Y 2 ( 2 ) wherein X is an axis which represents a direction of a linear approximation line C and Y is an axis which represents a direction perpendicular to the linear approximation line C, and when a curve of each of the grooves is expressed by a function of y=f(x) in a coordination system in which an x axis represents a direction perpendicular to the transportation direction of the grain-oriented magnetic steel sheet and a y axis represents the transportation direction, the linear approximation line C with respect to the curve of each of the grooves which is expressed by y=ax+b is obtained using a least-squares method. 2. The grain-oriented magnetic steel sheet according to claim 1 , wherein the grooves are formed on a front surface and a back surface of the grain-oriented magnetic steel sheet. 3. The grain-oriented magnetic steel sheet according to claim 2 , wherein positions of the grooves formed on the front surface are the same as positions of the grooves formed on the back surface. 4. A method of producing a grain-oriented magnetic steel sheet, the method comprising: irradiating a grain-oriented magnetic steel sheet with a laser beam to form grooves, each of which extends in a direction intersecting a transportation direction, at predetermined pitches PL in the transportation direction, wherein a melt-resolidified portion is formed in the grooves, wherein each of the grooves is formed to be curved in a length L c when viewed from a direction perpendicular to a surface of the grain-oriented magnetic steel sheet, wherein multiple grooves are formed in the direction intersecting the transportation direction, and wherein a relationship between a standard deviation value D which is defined by the following expression (2) and the pitch PL satisfies the following expression (1), the standard deviation value D being a standard deviation of distances between a linear approximation line, which is obtained from a center line of each of the grooves in a groove width direction by a least-squares method, and respective positions on the center line, and an average angle formed between tangent lines of the respective positions on the center line and a direction perpendicular to the transportation direction is more than 0° to 30° 0.02 ≤ ( D / PL ) ( 1 ) D = 1 L C ∫ 0 L C d X Y 2 ( 2 ) wherein X is an axis which represents a direction of a linear approximation line
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