Вплив ідеального газу у міжконтактних просвітах на взаємодію пружного тіла та текстурованої квазіеліптичними виїмками жорсткої основи
The frictionless contact between an elastic body and a rigid base textured with quasielliptic grooves is investigated for the case when interface gaps are filled with an ideal gas. The state of the gas is described by the Clapeyron–Mendeleev equation. The formulated contact problem is reduced to a s...
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2018
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| Online Access: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/2478 |
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| Journal Title: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Summary: | The frictionless contact between an elastic body and a rigid base textured with quasielliptic grooves is investigated for the case when interface gaps are filled with an ideal gas. The state of the gas is described by the Clapeyron–Mendeleev equation. The formulated contact problem is reduced to a singular integral equation with Hilbert kernel for a derivative of a height of the gaps and a transcendental equation for a pressure of the gas. The dependences of the height of the gaps, the gas pressure, the average normal displacement and the contact compliance of the bodies on the applied load and the gas mass are analyzed. |
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