Accession Number:

ADA230628

Title:

Modelling and Analysis of Kernel Function and Development of Equivalent Theodorsen Function for Three-Dimensional Aeroelastic Analysis

Descriptive Note:

Master's thesis

Corporate Author:

AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s):

• Ryder, John K.

Report Date:

1990-12-01

Pagination or Media Count:

132.0

Abstract:

A fractional calculus model is developed for the kernal function under incompressible subsonic flow conditions for rectangular planform airfoils with small aspect ratio. A model valid for restricted regions of the kernel function for compressible subsonic flow conditions is also developed. Additionally, a method for numerically solving the pressure-downwash integral equation for rectangular planform wings of aspect ratio two through ten in incompressible flow is developed. An equivalent Theodorsen function for three- dimensional unsteady flow is developed, enabling the use of simpler two- dimensional aeroelastic equations of motion to fully capture the more complicated three-dimensional effects.

Descriptors:

• *MATHEMATICAL ANALYSIS
• AEROELASTICITY
• KERNEL FUNCTIONS
• THREE DIMENSIONAL

Subject Categories:

• Aircraft
• Numerical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE