Характеристичне рівняння математичної моделі флаттера податливої до трансверсального зсуву пластини-смуги та алгоритм його розв’язання
Based on a variant of the refined plate theory, which allows for accurate consideration of boundary conditions in the forces on the face surfaces, a mathematical model of the behavior of a plate-strip subject to transverse shear under the action of an aerodynamic flow was obtained. The corresponding...
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| Дата: | 2024 |
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| Автори: | , , |
| Формат: | Стаття |
| Опубліковано: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2024
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| Теми: | |
| Онлайн доступ: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2024.22.69-74 |
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| Назва журналу: | Prykladni Problemy Mekhaniky i Matematyky |
Репозитарії
Prykladni Problemy Mekhaniky i Matematyky| Резюме: | Based on a variant of the refined plate theory, which allows for accurate consideration of boundary conditions in the forces on the face surfaces, a mathematical model of the behavior of a plate-strip subject to transverse shear under the action of an aerodynamic flow was obtained. The corresponding characteristic equation was constructed, which, unlike the case of using the classical plate theory, is a complete fourth-order polynomial. An algorithm for finding its roots was proposed and implemented in software. The use of the algorithm for specific values of the physical, mechanical and geometric parameters of the plate-strip under free hinged support was demonstrated. Cite as: V. O. Bodnar, M. V. Marchuk, V. S. Pakosh, “Characteristic equation of the mathematical model of the flutter of a plate-strip pliable to transversal shear and its solution algorithm,” Prykl. Probl. Mekh. Mat., Issue 22, 69–74 (2024) (in Ukrainian), https://doi.org/10.15407/apmm2024.22.69-74 |
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