| 內容註: |
Finite-Part Integrals -- Convolution and Duhamel Integrals -- Laplace and Fourier Transforms -- Review of the Least Square Method -- Vector Identities Used in Aerodynamics -- Reynolds Transport Theorem, Isentropic, Continuity, and Momentum Equations -- Vorticity, and Kelvin's Circulation Theorem -- Velocity Potential -- The Biot Savart Law for Incompressible Fluids -- The Fluid-Structure Boundary Condition -- The Aerodynamic Force for the Steady Incompressible Ideal Flow -- Small Perturbation Theory -- Small Perturbation Acceleration Potential -- Compressible Fluid at Rest -- Compressible Fluid in Motion -- Compressible Fluid in Motion: the Doublet Solution -- Theoretical Aerodynamic Modeling of Wings -- Steady Incompressible Ideal Flow and Modeling of Finite Wings -- Two-Dimensional Unsteady Incompressible Flow -- Harmonic Motion, Reduced Frequency, and Kernel -- The Generalized Aerodynamic Force for the Continuous System -- Finite-Element Time Domain Aeroelastic Equations -- Laplace and Fourier Transformed Discrete Aeroelastic Equations -- The Unsteady Kernel -- Industry Standard Doublet Lattice Implementation -- Structural Dynamics: the Concept of Free Vibration Modes -- From the Structural Mesh to the Aerodynamic Mesh: Splining -- Generalized Aerodynamic Force Matrix and Rational Function Approximation -- Equations of Motion in the Laplace Domain with the Use of Rational Function Approximation -- Stability Analysis in the Laplace Domain -- Linear Time-Invariant Systems and Stability -- Linear Time-Invariant Aeroelastic Systems -- Classical Flutter, State Space Model, and Root Locus -- Introduction to the Concept of Body Freedom Flutter -- An Introduction to Nonlinear Aeroelasticity -- An Introduction to Nonlinear Dynamics. |