Application of Perturbation Method to Optimal Design of Structures,

Abstract

The paper presents results concerned with the use of perturbation method in optimal design of structures. An essential attention is given to optimization problems described by non-homogeneous boundary value problems for ordinary and partial differential equations. Different schemes for application of perturbation method in eigenvalue problems and in two dimensional optimization problems with unknown boundaries are described. Some aspects of obtaining successive approximations to optimal solution are given. The efficiency of perturbation technique application is illustrated by solving some particular problems. Some conclusions concerning practical application of the method and accuracy of used two-term expansions are drawn. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1981
Accession Number
ADP000042

Entities

People

  • N. V. Banichuk

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Efficiency
  • Eigenvalues
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Optimization
  • Partial Differential Equations
  • Perturbations
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Systems Analysis and Design