State Space Models for Aeroelastic and Viscoelastic Systems.

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.

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Document Details

Document Type
Technical Report
Publication Date
Mar 06, 1991
Accession Number
ADA234730

Entities

People

  • T. L. Herdman

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Air Platforms
  • Human Systems

DTIC Thesaurus Topics

  • Aerodynamics
  • Air Force
  • Aircrafts
  • Applied Mathematics
  • Cauchy Problem
  • Classification
  • Coefficients
  • Commercial Aircraft
  • Computational Fluid Dynamics
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Generators
  • Integral Equations
  • Mathematical Models
  • Partial Differential Equations
  • Unsteady Aerodynamics

Fields of Study

  • Mathematics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis

Technology Areas

  • Space