Title page for ETD etd-061199-131530


Type of Document Master's Thesis
Author Herdman, Darwin T.
URN etd-061199-131530
Title Approximations for Singular Integral Equations
Degree Master of Science
Department Mathematics
Advisory Committee
Advisor Name Title
Burns, John A. Committee Chair
Borggaard, Jeffrey T. Committee Member
Herdman, Terry L. Committee Member
Keywords
  • aeroelastic
  • Volterra
  • Integral Equations
Date of Defense 1999-05-12
Availability restricted
Abstract
This work is a numerical study of a class of weakly singular neutral equations. The

motivation for this study is an aeroelastic system. Numerical techniques are developed to

approximate the singular integral equation component appearing in the complete

dynamical model for the elastic motions of a three degree of freedom structure, an airfoil

with trailing edge flap, in a two dimensional unsteady flow. The flap can be viewed as an

active control surface to dampen vibrations that contribute to flutter. The goal of this

work is to provide accurate approximations for weakly singular neutral equations using

finite elements as basis functions for the initial function space. Several examples are

presented in order to validate the numerical scheme.

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