Параметричні коливання рідини з вільною поверхнею в резервуарі конічної форми
The problem about parametric oscillations of liquid with a free surface in reservoir of conic shape(the Faraday problem) is under investigation. Liquid is considered as ideal, incompressible,reservoir is a rigid body of conic shape. Investigation is done on the basis of nonlinear model ofcombined mo...
Збережено в:
| Дата: | 2019 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2019
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| Теми: | |
| Онлайн доступ: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/99 |
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| Назва журналу: | Physico-mathematical modeling and informational technologies |
Репозитарії
Physico-mathematical modeling and informational technologies| Резюме: | The problem about parametric oscillations of liquid with a free surface in reservoir of conic shape(the Faraday problem) is under investigation. Liquid is considered as ideal, incompressible,reservoir is a rigid body of conic shape. Investigation is done on the basis of nonlinear model ofcombined motion of liquid with reservoir with representation of liquid motion as decompositionwith respect to normal modes of oscillations. Resolving mathematical model is obtained in theform of a system of ordinary differential equations relative to parameters of motion of reservoirand amplitudes of excitation of normal modes of oscillation of liquid with a free surface. It isshown how tank walls inclination and initial conditions influence development of dynamic processes. |
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