Method for analyzing angular motion characteristics of double-spinning projectile under geometric nonlinearity

Abstract

The invention discloses a method for analyzing angular motion characteristics of a double-spinning projectile under geometric nonlinearity. The method comprises the following steps: step 1, establishing a nonlinear angular motion equation of the double-spinning projectile about an attack angle alpha, a sideslip angle beta, a pitch angle speed omega z and a yaw angle speed omega y; 2, taking a pitching rudder deflection angle delta z and a yawing rudder deflection angle delta y as parameters, and determining a Jacobian matrix of the angular motion system corresponding to the nonlinear angular motion equation established in the step 1 in a balanced state; 3, determining the necessary and sufficient conditions of the angular motion system in a stable balance state; 4, determining boundary conditions required to be met by the deflection angle of the yawing rudder when the angular motion system is stable; and 5, carrying out dimension reduction processing on the angular motion system, and determining motion characteristics of the double-spin projectile near a bifurcation point in a balanced state by carrying out reduction analysis on the nonlinear angular motion equation described in the step 1.

Description

technical field [0001] The invention relates to the technical field of analyzing the angular motion characteristics of double-rotating bombs, in particular to a method for analyzing the geometrically nonlinear angular motion characteristics of double-rotating bombs. Background technique [0002] Modern warfare has a large demand for high-precision, low-cost, over-the-horizon guided munitions with small incidental damage, which promotes the rapid development of conventional shell guidance technology. For the rotation-stabilized projectile, in order to achieve the ideal control effect and meet the high-speed requirements of the rotation-stabilized projectile for the projectile body, an effective method is to divide the projectile into two parts, namely the front body and the rear body, which are connected by bearings , the front body and the rear body rotate at different speeds during the flight, so it is called "double rotation". This double-rotation structure design can not...

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Problems solved by technology

[0003] However, compared with the mature design methods of fin-stabilized bombs, there are still many problems to be solved urgently in the analysis of dynamic characteristics of dual-rotor bombs

In particular, the double-rotation elastic dynamics has the characteristics of strong coupling and strong nonlinearity, which makes it difficult to analyze and explain many nonlinear motion phenomena of projectiles with linear system theory.

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