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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