Математичне моделювання симетричної крайової задачі для шару з покритими діафрагмою торцями, послабленого двома наскрізними отворами
The paper presents a new mathematical model for the solution of a static symmetric boundary value problem for a layer weakened by two through holes with sliding sealing of its ends. A new method based on a system of six singular integral equations has been developed and tested numerically. As a resu...
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| Date: | 2023 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
V.M. Glushkov Institute of Cybernetics of NAS of Ukraine
2023
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| Subjects: | |
| Online Access: | https://jais.net.ua/index.php/files/article/view/66 |
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| Journal Title: | Problems of Control and Informatics |
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Problems of Control and Informatics| Summary: | The paper presents a new mathematical model for the solution of a static symmetric boundary value problem for a layer weakened by two through holes with sliding sealing of its ends. A new method based on a system of six singular integral equations has been developed and tested numerically. As a result of a high-precision numerical study, it was found that with a decrease in the center-to-center distance or Poisson’s ratio, an increase in the relative circumferential stress occurs. And with an increase in the Poisson’s ratio, the maximum relative circumferential stress shifts from the bases of the layer to its depth. Under certain combinations of parameters, the effect of the presence of the second hole in the layer ceases to affect. The corresponding values are given. The paper presents the respective dependency graphs. |
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