Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations
Motivated by ongoing developments in aero-engine technology, a model for a coupled gas lubricated bearing is developed in terms of an extended dynamical system. A slip boundary condition, characterised by a slip length, is incorporated on the bearing faces which can be relevant for operation in non-...
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| Format: | Article |
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Springer
2018
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| Online Access: | https://eprints.nottingham.ac.uk/51737/ |
| _version_ | 1848798562594324480 |
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| author | Bailey, N.Y. Hibberd, S. Power, H. Tretyakov, M.V. |
| author_facet | Bailey, N.Y. Hibberd, S. Power, H. Tretyakov, M.V. |
| author_sort | Bailey, N.Y. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Motivated by ongoing developments in aero-engine technology, a model for a coupled gas lubricated bearing is developed in terms of an extended dynamical system. A slip boundary condition, characterised by a slip length, is incorporated on the bearing faces which can be relevant for operation in non-ideal extreme conditions, notably where external vibrations or disturbances could destabilise the bearing. A modified Reynolds equation is formulated to model the gas flow, retaining the effects of centrifugal inertia which is increasingly important for high-speed operation, and is coupled to the structural equations; spring-mass-damper systems model the axial stator and rotor displacements. A novel model is developed corresponding to a bearing experiencing an external random force to evaluate the resulting induced displacements of the bearing components. The minimum face clearance is obtained from a mapping solver for the modified Reynolds equation and structural equations simultaneously. In the case of random excitations, the solver is combined with a Monte Carlo technique. Evaluation of the average value of the minimum gap and the probability of the gap reaching a prescribed tolerance are provided. Extensive insight is given on the effect of key bearing parameters on the corresponding bearing dynamics. |
| first_indexed | 2025-11-14T20:21:45Z |
| format | Article |
| id | nottingham-51737 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:21:45Z |
| publishDate | 2018 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-517372020-05-04T19:40:05Z https://eprints.nottingham.ac.uk/51737/ Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations Bailey, N.Y. Hibberd, S. Power, H. Tretyakov, M.V. Motivated by ongoing developments in aero-engine technology, a model for a coupled gas lubricated bearing is developed in terms of an extended dynamical system. A slip boundary condition, characterised by a slip length, is incorporated on the bearing faces which can be relevant for operation in non-ideal extreme conditions, notably where external vibrations or disturbances could destabilise the bearing. A modified Reynolds equation is formulated to model the gas flow, retaining the effects of centrifugal inertia which is increasingly important for high-speed operation, and is coupled to the structural equations; spring-mass-damper systems model the axial stator and rotor displacements. A novel model is developed corresponding to a bearing experiencing an external random force to evaluate the resulting induced displacements of the bearing components. The minimum face clearance is obtained from a mapping solver for the modified Reynolds equation and structural equations simultaneously. In the case of random excitations, the solver is combined with a Monte Carlo technique. Evaluation of the average value of the minimum gap and the probability of the gap reaching a prescribed tolerance are provided. Extensive insight is given on the effect of key bearing parameters on the corresponding bearing dynamics. Springer 2018-06-11 Article PeerReviewed Bailey, N.Y., Hibberd, S., Power, H. and Tretyakov, M.V. (2018) Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations. Journal of Engineering Mathematics . ISSN 1573-2703 coupled gas lubricated bearing Navier slip boundary condition random external force Monte Carlo method https://link.springer.com/article/10.1007/s10665-018-9963-9 doi:10.1007/s10665-018-9963-9 doi:10.1007/s10665-018-9963-9 |
| spellingShingle | coupled gas lubricated bearing Navier slip boundary condition random external force Monte Carlo method Bailey, N.Y. Hibberd, S. Power, H. Tretyakov, M.V. Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations |
| title | Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations |
| title_full | Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations |
| title_fullStr | Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations |
| title_full_unstemmed | Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations |
| title_short | Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations |
| title_sort | evaluation of the minimum face clearance of a high speed gas lubricated bearing with navier slip boundary conditions under random excitations |
| topic | coupled gas lubricated bearing Navier slip boundary condition random external force Monte Carlo method |
| url | https://eprints.nottingham.ac.uk/51737/ https://eprints.nottingham.ac.uk/51737/ https://eprints.nottingham.ac.uk/51737/ |