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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 26
ADVANCES IN COMPUTATIONAL MECHANICS Edited by: M. Papadrakakis and B.H.V. Topping
Paper V.1
Superposition in Stress - Unilateral Cable Structures C.D. Bisbos
Institute for Steel Structures, Department of Civil Engineering, Aristotle University, Thessaloniki, Greece C.D. Bisbos, "Superposition in Stress - Unilateral Cable Structures", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Computational Mechanics", Civil-Comp Press, Edinburgh, UK, pp 117-121, 1994. doi:10.4203/ccp.26.5.1
Abstract
The present paper concerns the superposition problem for
stress - unilateral cable structures, i.e. structures containing
cables incapable to carry on compressive forces. A
truss-like stress unilateral element is used and its material
law is formulated as complementarity conditions between
the element stress and its slackness. Similar conditions are
obtained at the structural level and equilibrium is used to
eliminate the displacements leading to a force method-like
symmetric Linear Complementarity Problem (LCP).
The superposition problem for affine external load combinations
is studied on the basis of this LCP. The main
result is that superposition holds in a restricted sense, i.e.
the load pattern parameters must lie within a domain,
determined by a system of linear inequalities. Bounds
of specific parameters are obtained. Single load pattern
parameters are also considered.
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