An Approximate Solution of the Nonlinear Differential Equation for the Complex Angle of Attack of a Symmetrical Missile.
Final rept. Jun-Oct 67,
NOTRE DAME UNIV IN DEPT OF AEROSPACE AND MECHANICAL ENGINEERING
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An approximate solution is presented of the nonlinear differential equation for the complex angle of attack of a symmetrical missile with constrained C. G., constant velocity and roll rate. It is assumed that the aerodynamic stability coefficients, restoring, damping, and Magnus moments, are nonlinear functions of the magnitude of the complex angle of attack squared. An extension of the Kryloff Bogoliuboff technique is used to obtain an approximate analytical solution of the nonlinear d. e. Approximate solutions of the complex angle of attack are obtained for both the three degree-of-freedom, pitching, yawing and rolling, and the two degree-of-freedom, pitching and yawing, angular motions. The main application of these solutions is to obtain the nonlinear aero-dynamic stability coefficients from the reduction of angular oscillations of constrained symmetrical missiles in the wind tunnel. Author
- Guided Missile Dynamics, Configurations and Control Surfaces
- Guided Missiles