Accession Number : AD0851881

Title :   An Approximate Solution of the Nonlinear Differential Equation for the Complex Angle of Attack of a Symmetrical Missile.

Descriptive Note : Final rept. Jun-Oct 67,

Corporate Author : NOTRE DAME UNIV IN DEPT OF AEROSPACE AND MECHANICAL ENGINEERING

Personal Author(s) : Ingram, Charles W.

Report Date : JUN 1968

Pagination or Media Count : 25

Abstract : 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)

Descriptors :   *ANGLE OF ATTACK), (*GUIDED MISSILES, NONLINEAR DIFFERENTIAL EQUATIONS, COMPLEX VARIABLES, OSCILLATION, WIND TUNNEL MODELS, MODEL TESTS, STABILITY, FORCE(MECHANICS), MAGNUS EFFECT, PITCH(MOTION), YAW, ROLL.

Subject Categories : Guided Missile Dynam, Config & Cntrl Surfaces
      Guided Missiles

Distribution Statement : APPROVED FOR PUBLIC RELEASE