Accession Number : ADP000064

Title :   Weight Optimization of Membrane Structures,


Personal Author(s) : Esping,Bjoern

Report Date : 1981

Pagination or Media Count : 9

Abstract : Algorithms to find the minimum weight design for a 3-dimensional composite membrane structure are presented. Constraints are on strength and displacements. Variables are plythicknesses, angles of orthotropi and node point co-ordinates in a FE approximation. Analytical derivatives with respect to the variables are derived for a constant strain triangle. To solve the optimization problem a sequence of strictly convex subproblems are created. Boxes around each preceding design point stabilize the algorithm. Each subproblem is solved by using the duality theory for convex programming. In this article the interest is focused on the presentation of the analytical derivatives for the constant strain triangle. It begins with a brief formulation of the optimization problem and its solution.

Descriptors :   *Structural engineering, *Optimization, *Membranes, *Structural mechanics, *Algorithms, Structural analysis, Structural response, Composite structures, Lightweight, Two dimensional, Strength(Mechanics), Displacement, Thickness, Angles, Coordinates, Finite element analysis, Approximation(Mathematics), Strain(Mechanics)

Distribution Statement : APPROVED FOR PUBLIC RELEASE