WEDGING OF FRICTIONAL ELASTIC SYSTEMS
We consider discrete two-dimensional elastic systems with Coulomb friction contacts, and investigate the conditions that must be satisfied if these are to be capable of becoming ‘wedged’ --- i.e. of remaining with non-zero elastic deformations when all external loads have been removed. The condition...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Niš
2019-07-01
|
| Series: | Facta Universitatis. Series: Mechanical Engineering |
| Online Access: | http://casopisi.junis.ni.ac.rs/index.php/FUMechEng/article/view/4867 |
| _version_ | 1811299192224612352 |
|---|---|
| author | Sangkyu Kim Yong Hoon Jang James R. Barber |
| author_facet | Sangkyu Kim Yong Hoon Jang James R. Barber |
| author_sort | Sangkyu Kim |
| collection | DOAJ |
| description | We consider discrete two-dimensional elastic systems with Coulomb friction contacts, and investigate the conditions that must be satisfied if these are to be capable of becoming ‘wedged’ --- i.e. of remaining with non-zero elastic deformations when all external loads have been removed. The condition for wedging is reduced to the requirement that a prescribed set of constraint vectors should fail to positively span the N-dimensional vector space of nodal displacements. We also show that the range of admissible wedged states increases monotonically with the coefficient of friction f and that there exists a unique critical coefficient fw such that wedging is impossible for f < fw and possible for f > fw. |
| first_indexed | 2024-04-13T06:31:35Z |
| format | Article |
| id | doaj.art-076614f1e09b4203883e666a8aa831f1 |
| institution | Directory Open Access Journal |
| issn | 0354-2025 2335-0164 |
| language | English |
| last_indexed | 2024-04-13T06:31:35Z |
| publishDate | 2019-07-01 |
| publisher | University of Niš |
| record_format | Article |
| series | Facta Universitatis. Series: Mechanical Engineering |
| spelling | doaj.art-076614f1e09b4203883e666a8aa831f12022-12-22T02:58:06ZengUniversity of NišFacta Universitatis. Series: Mechanical Engineering0354-20252335-01642019-07-0117214114810.22190/FUME190131019K2384WEDGING OF FRICTIONAL ELASTIC SYSTEMSSangkyu KimYong Hoon JangJames R. BarberWe consider discrete two-dimensional elastic systems with Coulomb friction contacts, and investigate the conditions that must be satisfied if these are to be capable of becoming ‘wedged’ --- i.e. of remaining with non-zero elastic deformations when all external loads have been removed. The condition for wedging is reduced to the requirement that a prescribed set of constraint vectors should fail to positively span the N-dimensional vector space of nodal displacements. We also show that the range of admissible wedged states increases monotonically with the coefficient of friction f and that there exists a unique critical coefficient fw such that wedging is impossible for f < fw and possible for f > fw.http://casopisi.junis.ni.ac.rs/index.php/FUMechEng/article/view/4867 |
| spellingShingle | Sangkyu Kim Yong Hoon Jang James R. Barber WEDGING OF FRICTIONAL ELASTIC SYSTEMS Facta Universitatis. Series: Mechanical Engineering |
| title | WEDGING OF FRICTIONAL ELASTIC SYSTEMS |
| title_full | WEDGING OF FRICTIONAL ELASTIC SYSTEMS |
| title_fullStr | WEDGING OF FRICTIONAL ELASTIC SYSTEMS |
| title_full_unstemmed | WEDGING OF FRICTIONAL ELASTIC SYSTEMS |
| title_short | WEDGING OF FRICTIONAL ELASTIC SYSTEMS |
| title_sort | wedging of frictional elastic systems |
| url | http://casopisi.junis.ni.ac.rs/index.php/FUMechEng/article/view/4867 |
| work_keys_str_mv | AT sangkyukim wedgingoffrictionalelasticsystems AT yonghoonjang wedgingoffrictionalelasticsystems AT jamesrbarber wedgingoffrictionalelasticsystems |