## Application of Numerical Integration Techniques to the Low-aspect-ratio Flutter Problem in Subsonic and Supersonic FlowsDepartment of Aeronautical Engineering, Massachusetts Institute of Technology, 1954 - Flutter (Aerodynamics) - 195 pages |

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aerodynamic problem aerodynamic theory aeroelastic influence function Aeronautical Engineering CONTRACT Aeronautical Engineering PAGE amplitude Appendix approximation arbitrary planform aspect ratio boundary conditions box area Box on Leading calculation Cauchy principal value Chapter characteristic boxes computation CONTRACT NO.NOa(s coordinates defined by Bq deflection Department of Aeronautical derivatives determined dimensionless box length double integral downwash elastic equations of motion evaluation expansion flutter analysis flutter equation flutter problem frequency Green's Theorem Hence HOa(s Incompressible Flow influence coefficients integral form integrand Integration variables corresponding kernel function given leading edge lifting surface linearized low-aspect-ratio Mach lines Mach number method natural modes NOa(s nonsingular kernel function noted number of points numerical integration obtained order term pressure difference pressure distribution pressure-vertical velocity rectangular reduced reversed flow simple harmonic motion singularity solution subsonic flow Taylor series tion two-dimensional types of boxes vanish velocity potential velocity relation vertical velocity wing planform zero