Naslov
Sliding contact conditions using the master-slave approach with application on geometrically non-linear beams

Autori
Munoz, J. J. ; Jelenić, Gordan

Izvornik
International Journal of Solids and Structures (0020-7683) 41 (2004), 24-25; 6963-6992

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
sliding contact; master-slave approach; 3D beams

Sažetak
Frictionless sliding conditions between two bodies are usually defined using either the method of Lagrangian multipliers or by prescribing an artificial (penalty) stiffness which resists the penetration at the contact point. Both of these methods impose the condition that the contact force should be normal to the contact surface, with the Lagrangian multiplier or the penalty parameter serving as a measure of this force. In this work, an alternative approach is undertaken: the frictionless sliding condition is defined through a relationship between nodal parameters of the virtual displacements of a discretised principle of virtual work. This method, which does not involve additional force parameters or degrees of freedom, is known as the master-slave or the minimum-set method and is particularly convenient for displacement-based finite-element implementation. The method is analysed in detail in context of bilateral sliding constraints characteristic of prismatic and cylindrical joints in flexible beam assemblies undergoing large overall motion. Two numerical examples are presented and assessed against the results in the literature.

Izvorni jezik
Engleski

Znanstvena područja
Temeljne tehničke znanosti

Napomena
Projekti EPSRC GR/R 04171/01, EPSRC AF/100089

POVEZANOST RADA