Mathematical Modeling on Statics and Dynamics of Aerostatic Thrust Bearing with External Combined Throttling and Elastic Orifice Fluid Flow Regulation : научное издание | Научно-инновационный портал СФУ

## Mathematical Modeling on Statics and Dynamics of Aerostatic Thrust Bearing with External Combined Throttling and Elastic Orifice Fluid Flow Regulation : научное издание

Тип публикации: статья из журнала

Год издания: 2020

Идентификатор DOI: 10.3390/lubricants8050057

Ключевые слова: aerostatic thrust bearing, elastic orifice, external combined throttling, zero compliance, negative compliance, quality of dynamics

Аннотация: 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.

#### Издание

Журнал: LUBRICANTS

Выпуск журнала: Vol. 8, Is. 5

ISSN журнала: 20754442

Место издания: BASEL57

Издатель: MDPI

#### Авторы

• Kodnyanko Vladimir (Siberian Fed Univ, Polytech Inst, Dept Standardizat Metrol & Qual Management, 79 Svobodny Pr, Krasnoyarsk 660041, Russia)
• Shatokhin Stanislav (Siberian Fed Univ, Polytech Inst, Dept Design & Technol Support Engn, 79 Svobodny Pr, Krasnoyarsk 660041, Russia)
• Kurzakov Andrey (Siberian Fed Univ, Polytech Inst, Dept Design & Technol Support Engn, 79 Svobodny Pr, Krasnoyarsk 660041, Russia)
• Pikalov Yuri (Siberian Fed Univ, Polytech Inst, Dept Standardizat Metrol & Qual Management, 79 Svobodny Pr, Krasnoyarsk 660041, Russia)

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