Accession Number:

ADA207092

Title:

State Space Models for Aeroelastic and Viscoelastic Systems

Descriptive Note:

Technical rept. 1 Jan-31 Dec 1988

Corporate Author:

VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG INTERDISCIPLINARY CENTER FOR APPLIED MATHEMATICS

Personal Author(s):

Report Date:

1989-02-15

Pagination or Media Count:

5.0

Abstract:

Dynamic modeling of various aeroelastic control systems require at some point in the derivation of the model an application of Soehngens inversion formula for finite Hilbert transforms to obtain a desired representation for the solution of the airfoil equation. Conditions on initial data to guarantee well- posedness of the resulting model equations must be matched with those needed to justify the validity of the inversion formula. We showed that this compatibility can be achieved by assuming that the circulation history belongs to a weighted L2 space. The resulting state space formulation provides a suitable setting for control design for the aeroelastic system. Keywords Mathematical models Mathematical formulas Aerodynamic control surfaces Dynamic response.

Subject Categories:

  • Aerodynamics
  • Numerical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE