WEDGING OF FRICTIONAL ELASTIC SYSTEMS | Zendy

Sangkyu Kim | Zendy; Yong Hoon Jang | Zendy; J. R. Barber | Zendy

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WEDGING OF FRICTIONAL ELASTIC SYSTEMS

Author(s) -

Sangkyu 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.

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