On the modelling and solving of the truss design problem with global stability constraints
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Abstract
The goal of this paper is to find a computationally tractable formulation of the optimum truss design problem involving a constraint on the global stability of the structure. The stability constraint is based on the linear buckling phenomenon. We formulate the problem as a nonconvex semidefinite programming problem and briefly discuss an interior point technique for the numerical solution of this problem. We further discuss relation to other models. The paper is concluded by a series of numerical examples.
Key words: truss optimization, global stability, semidefinite programming, interior point technique, nonlinearity
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© Springer-Verlag Berlin Heidelberg 2002