Accession Number:

AD0705605

Title:

FOUNDATIONS OF AEROELASTIC OPTIMIZATION AND SOME APPLICATIONS TO CONTINUOUS SYSTEMS,

Descriptive Note:

Corporate Author:

STANFORD UNIV CALIF DEPT OF AERONAUTICS AND ASTRONAUTICS

Personal Author(s):

Report Date:

1970-01-01

Pagination or Media Count:

92.0

Abstract:

Various optimization problems will be presented here, applications of the general methods developed in optimum control theory Refs. 3,10,11,12 and based on the Hamiltonian formulation of variational calculus for structural optimization with aeroelastic constraints. The problem, common for all the applications, may be stated in a general form given a reference structure cantilever beam or two-dimensional plate with uniform structural properties and specified aeroelastic requirements such as a given divergence speed or flutter speed, find the structure with minimal weight satisfying the same requirements. This report will be divided into two parts, the first one dealing with static, the second one with dynamic aeroelastic problems and more precisely flutter problems. This division is not arbitrary, since two out of the three problems of Part A will be found to have a simple analytical solution confirmed by numerical methods, whereas we have to rely on numerical integration mainly in Part B, the torsional-flutter case being excepted. A very powerful numerical procedure, the transition-matrix algorithm, will be described in detail and applied wherever possible. Its limitations in the more complicated case of panel flutter are emphasized. Author

Subject Categories:

  • Aircraft
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE