Laminated iron core elastic matrix determination method and vibration analysis method
US-2021404992-A1 · Dec 30, 2021 · US
US11513101B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-11513101-B2 |
| Application number | US-201916960931-A |
| Country | US |
| Kind code | B2 |
| Filing date | Jan 21, 2019 |
| Priority date | Jan 24, 2018 |
| Publication date | Nov 29, 2022 |
| Grant date | Nov 29, 2022 |
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An elastic matrix determination method and a vibration analysis method for a laminated iron core, with which it is possible to optimally determine an elastic modulus of a laminated iron core. When a vibration analysis of a laminated iron core obtained by laminating steel sheets is performed by using a configuration expression indicating a relationship between stress and strain in a matrix display by using an elastic matrix, a shear modulus in two surfaces including a laminating direction of the laminated iron core included in the elastic matrix in the configuration expression is determined in consideration of slip between laminated steel sheets.
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The invention claimed is: 1. An elastic matrix determination method for a laminated iron core obtained by laminating steel sheets in a laminating direction, the method comprising: creating an iron core for testing obtained by laminating steel sheets each using a same steel sheets as the laminated iron core in the laminating direction; supporting a center of the created iron core for testing, and measuring an actual measurement value of a natural frequency by vibrating the created iron core for testing in the laminating direction; estimating a relationship between a shear modulus in two planes of the iron core for testing and the natural frequency by performing a structural analysis plurality times using structural analysis software for the iron core for testing, the two planes being orthogonal to each other and extending in the laminating direction; and determining the shear modulus from a relationship between the shear modulus and the natural frequency estimated by using the actual measurement value of the natural frequency. 2. The elastic matrix determination method according to claim 1 , wherein the laminated iron core is configured by laminating a plurality of electrical steel sheets. 3. The elastic matrix determination method according to claim 2 , wherein the laminated iron core is a laminated iron core for a transformer. 4. A vibration analysis method for a laminated iron core obtained by laminating steel sheets, the method comprising: performing a vibration analysis of a laminated iron core by incorporating a shear modulus determined by the elastic matrix determination method according to claim 1 into an elastic matrix of a configuration expression in which a relationship between stress and strain is expressed by a tensor display using a response function. 5. The vibration analysis method for a laminated iron core according to claim 4 , wherein the laminated iron core is an iron core for a transformer, obtained by laminating a plurality of electrical steel sheets. 6. The elastic matrix determination method according to claim 1 , wherein the iron core for testing is a rectangular parallelepiped. 7. The elastic matrix determination method according to claim 1 , wherein the structural analysis is performed by taking, as a parameter, the shear modulus. 8. An elastic matrix determination method for a laminated iron core obtained by laminating steel sheets in a laminating direction, the method comprising: forming an iron core for testing obtained by laminating steel sheets each using a same steel sheets as the laminated iron core in the laminating direction, and measuring an actual measurement value of a natural frequency by vibrating the iron core for testing in the laminating direction; measuring a relationship between a shear modulus in two planes of the iron core for testing, an elastic modulus, and the natural frequency by performing a structural analysis plurality times, for the iron core for testing, the two planes being orthogonal to each other and extending in the laminating direction; and determining the shear modulus and the elastic modulus from a relationship between the shear modulus, the elastic modulus, and the natural frequency measured by using the actual measurement value of the natural frequency. 9. A vibration analysis method for a laminated iron core obtained by laminating steel sheets, the method comprising: performing a vibration analysis of a laminated iron core by incorporating a shear modulus and an elastic modulus determined by the elastic matrix determination method according to claim 8 into an elastic matrix of a configuration expression in which a relationship between stress and strain is expressed by a tensor display using a response function. 10. The vibration analysis method for a laminated iron core according to claim 9 , wherein the laminated iron core is an iron core for a transformer, obtained by laminating a plurality of electrical steel sheets. 11. The elastic matrix determination method according to claim 8 , wherein the laminated iron core is configured by laminating a plurality of electrical steel sheets. 12. The elastic matrix determination method according to claim 8 , wherein the structural analysis is performed by taking, as individual parameters, the shear modulus and the elastic modulus.
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