Accession Number:

ADA234730

Title:

State Space Models for Aeroelastic and Viscoelastic Systems.

Descriptive Note:

Final rept. 1 Jan 1988-31 Dec 1990,

Corporate Author:

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

Personal Author(s):

Report Date:

1991-03-06

Pagination or Media Count:

10.0

Abstract:

We develop state space models for aeroelastic systems including unsteady aerodynamics. We establish the applicability of semigroup theory for these systems on weighted product spaces by showing well-posedness and obtaining a dissipative estimate for the infinitesimal generator of the associated Cauchy problem. Numerical techniques are developed for the singular neutral functional differential equation that model the aeroelastic systems. Also, we present a technique based on quasilinearization for identifying unknown coefficients in parabolic partial differential equations. This technique is applied to both linear and nonlinear equations with spatially varying unknown coefficients.

Subject Categories:

  • Aerodynamics
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE