Oscillation Susceptibility Analysis of the ADMIRE Aircraft along the Path of Longitudinal Flight Equilibriums in Two Different Mathematical Models

Abstract

The oscillation susceptibility of the ADMIRE aircraft along the path of longitudinal flight equilibriums is analyzed numerically in the general and in a simplified flight model. More precisely, the longitudinal flight equilibriums, the stability of these equilibriums, and the existence of bifurcations along the path of these equilibriums are researched in both models. Maneuvers and appropriate piloting tasks for the touch-down moment are simulated in both models. The computed results obtained in the models are compared in order to see if the movement concerning the landing phase computed in the simplified model is similar to that computed in the general model. The similarity we find is not a proof of the structural stability of the simplified system, what as far we know never been made, but can increase the confidence that the simplified system correctly describes the real phenomenon.

The Dependence of the Period and Range of the Oscillations on the Elevator Deflection for the ADMIRE Simplified Model

“…The ADMIRE model was used in [12], where numerical investigations were performed on both general an simplified constant forward velocity longitudinal flight models, in order to identify a safe variation domain for the elevator deflection control. Maneuvers of the elevators simulated on this domain, in the context of failure of the automated flight control system (AFCS), may adjust the external influences over the plane, for a safe landing.…”

“…The simplified ADMIRE flight model of longitudinal flight with constant forward velocity for the case of ADMIRE is as follows (also see [12]):…”

“…Even if these systems are fully based on the simplified ADMIRE model [26], as identified in the System (1), solving these systems is not necessarily an easy task. For example, for a configuration with δ e close enough to the boundaries of the safe interval I, the period of oscillations for the Euler pitch angle θ is quickly growing, and the computation effort is increasingly higher.…”

Dependence of the Oscillatory Movements of an Unmanned Aerial Vehicle on the Forward Velocity

“…In [12], the ADMIRE mathematical model was considered for numerical investigations performed on both the general and the simplified constant forward velocity longitudinal flight models, in order to identify a safe variation domain for the elevator deflection control. Maneuvers of the elevators simulated on this domain, in the context of failure of the automated flight control system (AFCS), may adjust the external influences over the plane, for a safe landing.…”

Low-Order GAM Admire System in Landing Preparation Phase

“…Also suggestions for the GAM aircraft mass and the mass distribution can be found in [2] and a good reference for GAM Admire is [3]. The original GAM Admire system has twelve states [3], but for the simplicity of the analysis low order non-linear explicit differential models can be used [4], [1], [5], in order to cite just a few papers.…”