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

摘要

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. Keywords: Theses, Unsteady aerodynamics, Aerodynamic loads, Time dependence, Thin wings, Pressure downwash. (kr)