Closed-form solutions for tilted three-part piecewise-quadratic half-plane contacts
A general half-plane contact problem in which the geometry is specified in a piecewise-quadratic sense over three segments is solved in closed form. This includes the effects of a moment applied sufficient to introduce separation of one segment and the application of a shearing force sufficient or i...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Elsevier
2018
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| _version_ | 1797062057591308288 |
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| author | Andresen, H Hills, D Vazquez, J |
| author_facet | Andresen, H Hills, D Vazquez, J |
| author_sort | Andresen, H |
| collection | OXFORD |
| description | A general half-plane contact problem in which the geometry is specified in a piecewise-quadratic sense over three segments is solved in closed form. This includes the effects of a moment applied sufficient to introduce separation of one segment and the application of a shearing force sufficient or insufficient to cause sliding. Extending existing solutions to asymmetrical problems is necessary in order to broaden our understanding of the behaviour of dovetail roots of gas turbine fan blades. In previous studies symmetrical contacts have often been used to represent a dovetail flank contact. In the asymmetrical case, the contact pressure may be considerably higher at one of the contact edges compared to the corresponding symmetrical case. Exploiting the generality provided with the solution presented in this study, several simpler indenter problems are investigated making use of an algebraic manipulator. The Mathematica code is made available for download. |
| first_indexed | 2024-03-06T20:40:06Z |
| format | Journal article |
| id | oxford-uuid:33ffd133-b442-4482-84e7-7007ce69e2f5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:40:06Z |
| publishDate | 2018 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:33ffd133-b442-4482-84e7-7007ce69e2f52022-03-26T13:23:21ZClosed-form solutions for tilted three-part piecewise-quadratic half-plane contactsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:33ffd133-b442-4482-84e7-7007ce69e2f5EnglishSymplectic Elements at OxfordElsevier2018Andresen, HHills, DVazquez, JA general half-plane contact problem in which the geometry is specified in a piecewise-quadratic sense over three segments is solved in closed form. This includes the effects of a moment applied sufficient to introduce separation of one segment and the application of a shearing force sufficient or insufficient to cause sliding. Extending existing solutions to asymmetrical problems is necessary in order to broaden our understanding of the behaviour of dovetail roots of gas turbine fan blades. In previous studies symmetrical contacts have often been used to represent a dovetail flank contact. In the asymmetrical case, the contact pressure may be considerably higher at one of the contact edges compared to the corresponding symmetrical case. Exploiting the generality provided with the solution presented in this study, several simpler indenter problems are investigated making use of an algebraic manipulator. The Mathematica code is made available for download. |
| spellingShingle | Andresen, H Hills, D Vazquez, J Closed-form solutions for tilted three-part piecewise-quadratic half-plane contacts |
| title | Closed-form solutions for tilted three-part piecewise-quadratic half-plane contacts |
| title_full | Closed-form solutions for tilted three-part piecewise-quadratic half-plane contacts |
| title_fullStr | Closed-form solutions for tilted three-part piecewise-quadratic half-plane contacts |
| title_full_unstemmed | Closed-form solutions for tilted three-part piecewise-quadratic half-plane contacts |
| title_short | Closed-form solutions for tilted three-part piecewise-quadratic half-plane contacts |
| title_sort | closed form solutions for tilted three part piecewise quadratic half plane contacts |
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