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authors Kirsch, Uri
year 1982
title Approximation Concepts for Optimum Structural Design
source 25 p. Pittsburgh, PA: Design Research Center, CMU, December, 1982. DRC-12-12-82. includes bibliography
summary When elastic behavior is assumed, the optimum structural design problem is stated in an implicit nonlinear programming form. Approximate behavior models are introduced to obtain explicit constraint functions, essential in many practical design problems. For the displacement analysis formulation, some possible explicit approximations of the nodal displacements in terms of the design variables are reviewed. It is shown that any approximation of the displacements will lead to a solution which does not necessarily satisfy equilibrium. Methods for solving the approximate problem are discussed. Using the force analysis formulation, it is shown that explicit approximations of the redundant forces will lead to solutions which do not necessarily satisfy compatibility. Some simplified models of the explicit problem are presented and solution methods are discussed
keywords structures, design, engineering, optimization, civil engineering, approximation
series CADline
last changed 1999/02/12 14:08
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