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Minimum weight
About: Minimum weight is a research topic. Over the lifetime, 2002 publications have been published within this topic receiving 28244 citations.
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TL;DR: In this paper, the authors present a brief review of the relevant literature along with the procedures adopted, results and conclusions for singly and doubly reinforced beams, T-beams and columns with eccentric loads.
36 citations
TL;DR: The results of this research show that the proposed PSO-SA hybrid algorithm can reliably and effectively be used for composite weight optimization problems subjected to a variety of constraints.
36 citations
TL;DR: A FEM minimum weight with stress constraints (MWSC) formulation for topology structural optimization problems does not require any stabilization technique to produce acceptable optimized results, and could be considered closer to the engineering intuition than the traditional truss-like results obtained by means of the widespread maximum stiffness (minimum compliance) approaches.
36 citations
TL;DR: In this article, the authors investigated the continuity of the mappings which, for a given set of cross-sectional areas of a truss, gives the bar forces and nodal displacements present in equilibrium.
36 citations
TL;DR: In this paper, an integrated approach to the minimum weight design of geometrically nonlinear three-dimensional truss structures with geometric imperfections, subject to inequality constraints on static displacements, stresses, local buckling and cross sectional areas, is investigated.
Abstract: An integrated approach to the minimum weight design of geometrically nonlinear three-dimensional truss structures with geometric imperfections, subject to inequality constraints on static displacements, stresses, local buckling and cross sectional areas, is investigated. The integrated structural synthesis problem involves design and response quantities as independent variables and equilibrium equations, describing the finite element model, as equality constraints. The nonlinear structural analysis and the optimization are thus merged together into a single process. A computer program developed to compute the constraint values and analytical gradients is coupled with a generalized reduced gradient algorithm to solve the integrated problem. Numerical results for a geometrically nonlinear shallow dome example problem are presented for various types of imperfections. Furthermore, it is found that the algorithm is capable of detecting and guarding against system as well as element elastic instability using equilibrium information only, that is, without imposing system and local buckling inequality constraints.
35 citations