Mathematical Modeling on Statics and Dynamics of Aerostatic Thrust Bearing with External Combined Throttling and Elastic Orifice Fluid Flow Regulation
As aerostatic bearings are used in high-speed metal-cutting machines to increase machining accuracy, there is the need to improve their characteristics, including compliance, which is usually high. In practical applications, a significant reduction of bearing compliance is often necessary, sometimes...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Lubricants |
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| Online Access: | https://www.mdpi.com/2075-4442/8/5/57 |
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| author | Vladimir Kodnyanko Stanislav Shatokhin Andrey Kurzakov Yuri Pikalov |
| author_facet | Vladimir Kodnyanko Stanislav Shatokhin Andrey Kurzakov Yuri Pikalov |
| author_sort | Vladimir Kodnyanko |
| collection | DOAJ |
| description | As aerostatic bearings are used in high-speed metal-cutting machines to increase machining accuracy, there is the need to improve their characteristics, including compliance, which is usually high. In practical applications, a significant reduction of bearing compliance is often necessary, sometimes down to zero and even negative values, to ensure automatic compensation of the elastic deformation in the machine technological system. A decrease in compliance leads to deterioration in the dynamic performance of the bearing, so it is necessary to develop new designs that meet the above requirements. This article considers an aerostatic bearing, in which decrease in compliance is ensured by the use of air throttling with elastic orifices. To ensure its stability, the principle of combined external throttling was applied, which can substantially improve the dynamics of conventional aerostatic bearings. A mathematical model of the elastic orifice deformation was developed, together with the flow rate performance calculation method. The method ensured full qualitative and satisfactory quantitative agreement with the experimental data. The model was used in the mathematical modeling of the aerostatic bearing movement. The article also proposes a method to calculate the static load capacity and compliance of a bearing, as well as a numerical method for fast computation of its dynamic performance, which allows for real-time multi-parameter optimization by the bearing dynamic performance criteria. The study showed that there is an optimal set of design parameters for which low, zero, and negative static compliance of the bearing is ensured, with the necessary stability margin, high speed, and the non-oscillatory nature of the transient processes. |
| first_indexed | 2024-03-10T19:44:51Z |
| format | Article |
| id | doaj.art-7c143699adef478da24f74c86599bf30 |
| institution | Directory Open Access Journal |
| issn | 2075-4442 |
| language | English |
| last_indexed | 2024-03-10T19:44:51Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Lubricants |
| spelling | doaj.art-7c143699adef478da24f74c86599bf302023-11-20T00:56:42ZengMDPI AGLubricants2075-44422020-05-01855710.3390/lubricants8050057Mathematical Modeling on Statics and Dynamics of Aerostatic Thrust Bearing with External Combined Throttling and Elastic Orifice Fluid Flow RegulationVladimir Kodnyanko0Stanislav Shatokhin1Andrey Kurzakov2Yuri Pikalov3Department of Standardization, Metrology and Quality Management, Polytechnical Institute, Siberian Federal University, 79 Svobodny pr., 660041 Krasnoyarsk, RussiaDepartment of Design and Technology Support for Engineering, Polytechnical Institute, Siberian Federal University, 79 Svobodny pr., 660041 Krasnoyarsk, RussiaDepartment of Design and Technology Support for Engineering, Polytechnical Institute, Siberian Federal University, 79 Svobodny pr., 660041 Krasnoyarsk, RussiaDepartment of Standardization, Metrology and Quality Management, Polytechnical Institute, Siberian Federal University, 79 Svobodny pr., 660041 Krasnoyarsk, RussiaAs aerostatic bearings are used in high-speed metal-cutting machines to increase machining accuracy, there is the need to improve their characteristics, including compliance, which is usually high. In practical applications, a significant reduction of bearing compliance is often necessary, sometimes down to zero and even negative values, to ensure automatic compensation of the elastic deformation in the machine technological system. A decrease in compliance leads to deterioration in the dynamic performance of the bearing, so it is necessary to develop new designs that meet the above requirements. This article considers an aerostatic bearing, in which decrease in compliance is ensured by the use of air throttling with elastic orifices. To ensure its stability, the principle of combined external throttling was applied, which can substantially improve the dynamics of conventional aerostatic bearings. A mathematical model of the elastic orifice deformation was developed, together with the flow rate performance calculation method. The method ensured full qualitative and satisfactory quantitative agreement with the experimental data. The model was used in the mathematical modeling of the aerostatic bearing movement. The article also proposes a method to calculate the static load capacity and compliance of a bearing, as well as a numerical method for fast computation of its dynamic performance, which allows for real-time multi-parameter optimization by the bearing dynamic performance criteria. The study showed that there is an optimal set of design parameters for which low, zero, and negative static compliance of the bearing is ensured, with the necessary stability margin, high speed, and the non-oscillatory nature of the transient processes.https://www.mdpi.com/2075-4442/8/5/57aerostatic thrust bearingelastic orificeexternal combined throttlingzero compliancenegative compliancequality of dynamics |
| spellingShingle | Vladimir Kodnyanko Stanislav Shatokhin Andrey Kurzakov Yuri Pikalov Mathematical Modeling on Statics and Dynamics of Aerostatic Thrust Bearing with External Combined Throttling and Elastic Orifice Fluid Flow Regulation Lubricants aerostatic thrust bearing elastic orifice external combined throttling zero compliance negative compliance quality of dynamics |
| title | Mathematical Modeling on Statics and Dynamics of Aerostatic Thrust Bearing with External Combined Throttling and Elastic Orifice Fluid Flow Regulation |
| title_full | Mathematical Modeling on Statics and Dynamics of Aerostatic Thrust Bearing with External Combined Throttling and Elastic Orifice Fluid Flow Regulation |
| title_fullStr | Mathematical Modeling on Statics and Dynamics of Aerostatic Thrust Bearing with External Combined Throttling and Elastic Orifice Fluid Flow Regulation |
| title_full_unstemmed | Mathematical Modeling on Statics and Dynamics of Aerostatic Thrust Bearing with External Combined Throttling and Elastic Orifice Fluid Flow Regulation |
| title_short | Mathematical Modeling on Statics and Dynamics of Aerostatic Thrust Bearing with External Combined Throttling and Elastic Orifice Fluid Flow Regulation |
| title_sort | mathematical modeling on statics and dynamics of aerostatic thrust bearing with external combined throttling and elastic orifice fluid flow regulation |
| topic | aerostatic thrust bearing elastic orifice external combined throttling zero compliance negative compliance quality of dynamics |
| url | https://www.mdpi.com/2075-4442/8/5/57 |
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