Showing papers in "Structural Optimization in 1988"
TL;DR: In this article, the shape optimization of plastically designed arches under bending and axial compression is studied, and a method for solving this class of nonlinearly constrained nonsmooth optimization problem is presented and illustrated with some numerical examples.
Abstract: The paper concerns the shape optimization of plastically designed arches under bending and axial compression. In addition to the arch shape being unknown a priori, the problem is further made difficult by a nonsmooth objective functional. A method for solving this class of nonlinearly constrained nonsmooth optimization problem is presented and illustrated with some numerical examples.
TL;DR: The nodal and mesh description for the modelling of a flexural frame with fully plastic behaviour and slabs discretized into triangular finite elements whose behaviour conforms the yield line theory are considered and the mathematical programming method can be formulated as the minimization of a quadratic concave function over a linear domain.
Abstract: In calculating the failure probability of structural systems, the most important operation is the search for the stochasticly most relevant failure mechanism. The nodal and mesh description for the modelling of a flexural frame with fully plastic behaviour and slabs discretized into triangular finite elements whose behaviour conforms the yield line theory are considered. The mathematical programming method arising from these models can be formulated as the minimization of a quadratic concave function over a linear domain.