authors 
Kirsch, Uri 
year 
1982 
title 
Approximation Concepts for Optimum Structural Design 
source 
25 p. Pittsburgh, PA: Design Research Center, CMU, December, 1982. DRC121282. 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 
