A mathematical model for calculating the vibrations of three-layer rods under spatial loading is developed in the article. Variations of kinetic and potential energies and the work of external forces, substituted into the Ostrogradsky-Hamilton variational principle, are compiled. A system of vibration equations for a three-layer rod with corresponding generalized initial and natural boundary conditions is obtained. The problem is solved for six unknowns. To solve it, the authors used the central finite-difference relations of the implicit scheme of the finite-difference method of the second-order accuracy, considering the features of the boundary and initial conditions. By setting specific boundary conditions, several practical problems can be solved. A methodology and computational algorithm for calculating static and dynamic strain processes of spatially loaded threelayer rods are given.
| Mualliflar | Anarova, Sh.A., Shokirov, D.A., Анарова, Ш.А., Шокиров, Д.А. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2024-07-19 |
| Son | 3 |
| Betlar | 57-76 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-27 |
algorithm, three – layer rod, finite difference method, Ostrogradsky – Hamilton principle, dimensionless parameter, rod oscillation, алгоритм, трехслойный стержень, метод конечных разностей, принцип Остроградского – Гамильтона, безразмерного параметр, колебания стержня
| APA | Anarova, Sh.A., Shokirov, D.A., Анарова, Ш.А., & Шокиров, Д.А. (2024). Computational algorithm for calculating three-layer rods under spatial loads. Ҳисоблаш ва амалий математика муаммолари, (3), 57-76. https://journals.airi.uz/index.php/pvpm/article/view/23 |
|---|---|
| GOST (OAK) | Anarova, Sh.A. va b. Computational algorithm for calculating three-layer rods under spatial loads // Ҳисоблаш ва амалий математика муаммолари. – 2024. – № 3. – P. 57-76. |
| MLA | Anarova, Sh.A., Shokirov, D.A., Анарова, Ш.А., and Шокиров, Д.А. “Computational algorithm for calculating three-layer rods under spatial loads.” Ҳисоблаш ва амалий математика муаммолари, (3), 57-76, 2024. https://journals.airi.uz/index.php/pvpm/article/view/23 |
| Chicago | Anarova, Sh.A., Shokirov, D.A., Анарова, Ш.А., and Шокиров, Д.А. “Computational algorithm for calculating three-layer rods under spatial loads.” Ҳисоблаш ва амалий математика муаммолари, (3), 57-76 (2024). https://journals.airi.uz/index.php/pvpm/article/view/23 |
| Harvard | Anarova, Sh.A., Shokirov, D.A., Анарова, Ш.А., and Шокиров, Д.А (2024) ‘Computational algorithm for calculating three-layer rods under spatial loads’, Ҳисоблаш ва амалий математика муаммолари, (3), 57-76. https://journals.airi.uz/index.php/pvpm/article/view/23 |
| BibTeX | @article{anarovasha2024,
title = {Computational algorithm for calculating three-layer rods under spatial loads},
author = {Anarova, Sh.A. and Shokirov, D.A. and Анарова, Ш.А. and Шокиров, Д.А.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2024},
number = {3},
pages = {57-76},
url = {https://journals.airi.uz/index.php/pvpm/article/view/23}
} |
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