Steady-state harmonic oscillations of a layer weakened by two openings with end faces covered by diaphragm (a symmetric case)
Steady-state harmonic oscillations of an elastic layer weakened by two through openings with pulsing normal pressure acting at their surfaces are under consideration. The integral representations of unknown functions based on the theory of homogeneous solutions with application of MacDonald special...
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| Дата: | 2018 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Russian |
| Опубліковано: |
Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України
2018
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| Теми: | |
| Онлайн доступ: | https://journals.uran.ua/jme/article/view/121488 |
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| Назва журналу: | Energy Technologies & Resource Saving |
Репозитарії
Energy Technologies & Resource Saving| Резюме: | Steady-state harmonic oscillations of an elastic layer weakened by two through openings with pulsing normal pressure acting at their surfaces are under consideration. The integral representations of unknown functions based on the theory of homogeneous solutions with application of MacDonald special functions are in use. These representations allow us to satisfy automatically the boundary conditions on the surfaces of openings. The boundary problem is reduced to the system of six integral equations for every harmonics. Its solution is obtained numerically. Some numerical examples are presented. The isotropic layers with elliptical cylindrical surfaces are considered. The examples demonstrate some important characteristic features of the tension distribution and its influence on frequencies depending on the distance between openings and value of Poisson's ratio. The effect of widening the first resonance base via Poisson's ratio decreasing is observed. The influence of two openings on each other is investigated. |
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