A Decomposition Procedure for Large Scale Optimum Plastic Design Problems.

Abstract

A decomposition procedure is proposed in this paper for solving a class of large scale optimal design problems for perfectly plastic structures under several alternative loading conditions. The conventional finite element method is used to cast the problem into a finite dimensional constrained nonlinear programming problem. Structures of practically meaningful size and complexity tend to give rise to a large number of variables and constraints in the corresponding mathematical model. The difficulty is that the state-of-the-art Mathematical Programming theory does not provide reliable and efficient ways of solving large scale constrained nonlinear programming problems. The natural idea to deal with the large scale structural problem is to somehow decompose the problem into an assembly of small size problems each of which represents an analysis of the behavior of each finite element under a single loading condition. This paper proposes one such way of decomposition based on the duality theory and a recently developed iterative algorithm. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1980
Accession Number
ADA086560

Entities

People

  • Cu Duong Ha
  • Ikuyo Kaneko

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computer Programming
  • Computers
  • Convex Programming
  • Engineering
  • Equations
  • Evolutionary Algorithms
  • Finite Element Analysis
  • Industrial Engineering
  • Linear Programming
  • Mathematical Models
  • Mathematical Programming
  • Mathematics
  • Operations Research
  • Optimization
  • Systems Engineering
  • United States

Readers

  • Distributed Systems and Data Platform Development
  • Mathematical Modeling and Probability Theory.
  • Structural Dynamics.