Open AccessWEDGING OF FRICTIONAL ELASTIC SYSTEMS
Author(s) -
Sang-Kyu Kim,
Yong Hoon Jang,
J. R. Barber
Publication year - 2019
Publication title -
facta universitatis. series: mechanical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.483
H-Index - 16
eISSN - 2335-0164
pISSN - 0354-2025
DOI - 10.22190/fume190131019k
Subject(s) - constraint (computer aided design) , monotonic function , zero (linguistics) , coulomb friction , space (punctuation) , mathematics , friction coefficient , span (engineering) , range (aeronautics) , set (abstract data type) , mathematical analysis , physics , structural engineering , geometry , computer science , materials science , engineering , nonlinear system , philosophy , linguistics , quantum mechanics , composite material , programming language , operating system
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.