Weight Optimization of Membrane Structures,

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.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1981
Accession Number
ADP000064

Entities

People

  • Bjoern Esping

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Composite Materials
  • Computer Programming
  • Convex Programming
  • Displacement
  • Evolutionary Algorithms
  • Heuristic Methods
  • Mathematics
  • Membranes
  • Optimization
  • Sequences
  • Three Dimensional
  • Triangles

Readers

  • Fluid Dynamics.
  • Operations Research
  • Structural Dynamics.