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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 33
DEVELOPMENTS IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping
Paper XI.1
Retrofit of Structures by Optimal Distribution of Clearances M.B. Fuchs and R. Halevy
Department of Solid Mechanics, Materials and Structures, Faculty of Engineering, Tel Aviv University, Ramat Aviv, Israel M.B. Fuchs, R. Halevy, "Retrofit of Structures by Optimal Distribution of Clearances", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 287-293, 1995. doi:10.4203/ccp.33.11.1
Abstract
A common technique for alleviating stresses in overlap
joints in aircraft industry is by designing tolerances for
the rivet holes. It is shown that optimal tolerances can
be obtained by means of a linear programming algorithm.
When generalizing the concept to the retrofit of existing
trusses by means of optimal clearances the basic problem
becomes nonlinear. The reason is that we do not know
the signs of the optimal forces in the truss with clearances.
When using the nominal signs, clearances will always improve
the situation but the solution is not guaranteed to
be optimal. When ignoring the sign in the formulation,
optimal solutions can be obtained but often also non-feasible
solutions. In this paper the problem for optimal
clearances is replaced by a problem for optimal stiffnesses.
It is shown that a stress-ratio type method converges
rapidly on the correct signs. With these signs a standard
linear programming routine produces the optimal clearances.
The approach is illustrated with examples of truss
beams.
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