Analysis of Dynamic Transient Response and Postflutter Behavior of Super-Maneuvering Airplane.

摘要

A general geometrically-exact Lagrangian mechanics formulation for the aeroelastic analysis of a maneuvering aircraft has been presented. The motion of the aircraft is expressed in terms of the location of the origin of a body frame of reference, the rigid-body rotation of the body frame of reference, and a deformation. The Lagrangian equations of motion for the corresponding degrees of freedom have been obtained. A formulation has been specialized to the case of a fluttering buckled plate on an aircraft undergoing a pitching maneuver. Assuming that the maneuvering of the aircraft is prescribed, the Lagrange equations of motion for the elastic degree of freedom has been derived. This equation is then used to study the response of the panel of an aircraft engaged in a pull-up maneuver. The large-amplitude responses are investigated by using the digital computer. As the maneuvering (load factor) increases, system exhibits complicated dynamic behavior including period-multiplying and demultiplying bifurcations and chaos. Keywords: Aircraft; Dynamic response; Lagranian functions; Bifurcation(Mathematics); Maneuverability. (cp)