State Space Models for Aeroelastic and Viscoelastic Systems

Abstract

Dynamic modeling of various aeroelastic control systems require at some point in the derivation of the model an application of Soehngen's 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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 15, 1989
Accession Number
ADA207092

Entities

People

  • T. L. Herdman

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Aerodynamic Control Surfaces
  • Air Force
  • Airfoils
  • Control Surfaces
  • Control Systems
  • Differential Equations
  • Dynamic Response
  • Equations
  • Guarantees
  • Identification
  • Inversion
  • Mathematical Models
  • Mathematics
  • Models
  • Security
  • Unsteady Aerodynamics
  • Virginia

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers