Galerkin's Approximation to Minimum Weight Structures with Dynamic Constraints.

Abstract

Galerkin's method is applied to the design of minimum weight structures with dynamic constraints. The problems considered include the weight optimization of a simply supported beam and a panel, with the condition that their fundamental frequencies be the same as those of corresponding uniform thickness structures. Galerkin's method is also used for the weight optimization of a semi-infinite panel and of a finite square panel, both of which have flutter speed constraints. In addition, the assumption of a symmetric thickness distribution in the flutter problems is investigated. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1974
Accession Number
AD0780498

Entities

People

  • Gerald M. Van Keuren Jr

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Frequency
  • Geometry
  • Mathematics
  • Optimization
  • Thickness

Fields of Study

  • Mathematics

Readers

  • Structural Dynamics.