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2.3 Illustrative Examples 3.1 General Description aerodynamic excitation Aeronautical Engineering airfoil angle of attack assume classical flutter coefficient consider Cornell University curve is negative cycle is stable depends dimensionless dissipation function effective angle elastic axis elastic potential energy equation of motion excitation frequency experimental external heteroperiodic fourth term free-stream velocity function of angle fundamental harmonic resonance Fundamental Nonlinear Resonance Graduate School initial angle integrating Lagrange's Equation limit cycle linear elastic Linear term Nonlinear mode shape moment-coefficient curve natural frequency non-resonance Nonlinear non-excitation obtain oscilla period phenomena are clarified polynomial predicting flutter speeds predominant normal mode quasi-steady reduced frequency Research Assistantship Reynolds number School of Aeronautical self-excitation shed vortices spring constant stability problem stall flutter stall region static lift curve stream velocity Strouhal Number Studer Substitution of Eq Taylor series term Nonlinear excitation third derivative torsional oscillation torsional spring total kinetic energy unit length W. R. Sears