On Applications of Semi-Analytical Methods of Contact Mechanics
This paper is concerned with possible applications of semi-analytical methods of frictional contact mechanics. The semi-analytical solutions, such as the Method of Memory Diagrams, enable the load-displacement relationship for contact of two axisymmetric bodies with friction to be written as an anal...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2020-06-01
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| Series: | Frontiers in Mechanical Engineering |
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| Online Access: | https://www.frontiersin.org/article/10.3389/fmech.2020.00030/full |
| _version_ | 1819017081745571840 |
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| author | Vladislav V. Aleshin Vladislav V. Aleshin |
| author_facet | Vladislav V. Aleshin Vladislav V. Aleshin |
| author_sort | Vladislav V. Aleshin |
| collection | DOAJ |
| description | This paper is concerned with possible applications of semi-analytical methods of frictional contact mechanics. The semi-analytical solutions, such as the Method of Memory Diagrams, enable the load-displacement relationship for contact of two axisymmetric bodies with friction to be written as an analytical expression with parameters calculated via a numerical procedure. As a result, a complex history-dependent solution is obtained for an arbitrary loading history in a computationally efficient way. This fact allows one to calculate hysteretic responses to extremely complex loading histories, such as random vibrations. Another case when complex loading histories appear is in a harmonic excitation of a dynamic contact system in which inertia is taken into account. Both examples are considered here. The random excitation case can be used as a basis for modeling for wear in frictional contacts while the second one may be extended to describe coupled dynamic contact systems, stick-slip phenomena, or friction-induced instabilities. |
| first_indexed | 2024-12-21T02:57:51Z |
| format | Article |
| id | doaj.art-337067c12161467dadaee4467a9403f7 |
| institution | Directory Open Access Journal |
| issn | 2297-3079 |
| language | English |
| last_indexed | 2024-12-21T02:57:51Z |
| publishDate | 2020-06-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Mechanical Engineering |
| spelling | doaj.art-337067c12161467dadaee4467a9403f72022-12-21T19:18:16ZengFrontiers Media S.A.Frontiers in Mechanical Engineering2297-30792020-06-01610.3389/fmech.2020.00030541589On Applications of Semi-Analytical Methods of Contact MechanicsVladislav V. Aleshin0Vladislav V. Aleshin1Department of Tomsk, Univ. Lille, CNRS, Centrale Lille, ISEN, Univ. Valenciennes, UMR 8520—IEMN, LIA LICS/LEMAC, Lille, FranceScientific Department for Research in Materials and Technologies, Tomsk State University, Tomsk, RussiaThis paper is concerned with possible applications of semi-analytical methods of frictional contact mechanics. The semi-analytical solutions, such as the Method of Memory Diagrams, enable the load-displacement relationship for contact of two axisymmetric bodies with friction to be written as an analytical expression with parameters calculated via a numerical procedure. As a result, a complex history-dependent solution is obtained for an arbitrary loading history in a computationally efficient way. This fact allows one to calculate hysteretic responses to extremely complex loading histories, such as random vibrations. Another case when complex loading histories appear is in a harmonic excitation of a dynamic contact system in which inertia is taken into account. Both examples are considered here. The random excitation case can be used as a basis for modeling for wear in frictional contacts while the second one may be extended to describe coupled dynamic contact systems, stick-slip phenomena, or friction-induced instabilities.https://www.frontiersin.org/article/10.3389/fmech.2020.00030/fullcontact mechanicsHertz-Mindlinfrictionsemi-analytical contact solutionsmethod of memory diagrams |
| spellingShingle | Vladislav V. Aleshin Vladislav V. Aleshin On Applications of Semi-Analytical Methods of Contact Mechanics Frontiers in Mechanical Engineering contact mechanics Hertz-Mindlin friction semi-analytical contact solutions method of memory diagrams |
| title | On Applications of Semi-Analytical Methods of Contact Mechanics |
| title_full | On Applications of Semi-Analytical Methods of Contact Mechanics |
| title_fullStr | On Applications of Semi-Analytical Methods of Contact Mechanics |
| title_full_unstemmed | On Applications of Semi-Analytical Methods of Contact Mechanics |
| title_short | On Applications of Semi-Analytical Methods of Contact Mechanics |
| title_sort | on applications of semi analytical methods of contact mechanics |
| topic | contact mechanics Hertz-Mindlin friction semi-analytical contact solutions method of memory diagrams |
| url | https://www.frontiersin.org/article/10.3389/fmech.2020.00030/full |
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