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In this paper, bifurcation analysis of a full six degrees of freedom model of an airship is carried out both in unconstrained and constrained conditions. Equations of motion of airship are first modified to a suitable form and a standard as well as constrained bifurcation analysis performed with respect to airship control and design parameters. Typical modes of airship dynamics and regions of stable...
This paper is a case study which presents numericalinvestigations based on the theoretical background developed in [1]. The purpose is to numerically investigate the existence and the stability of equilibriums, as well as the existence of possible bifurcation at an equilibrium point for a set of given aero-dynamic data. The computations are performed in the framework of the non-simplified Aero-Data...
In this paper, a low-dimensional atmosphere model with general circulation is researched. The model is the classical Lorenz-84 system combined with seasonal force. The stability and the chaotic behavior of the seasonal forcing model are studied. By means of the Lyapunov exponents, the bifurcation map, phase diagram and Poincare section, the dynamical behaviors of the system are described and various...
Deep-stall seriously threatens the safety of aircrafts; a detailed research has been carried out to make a full study on the influencing factors in avoidance of flight accidents in this paper. The Bifurcation analysis and catastrophe theory method (BACTM) is employed to analyze the deep-stall characteristics of four different configuration T-tail aircrafts with various pitching-moment curves, and...
Washout filters are employed in the design of stabilizing controllers for systems undergoing bifurcations. Moreover, the advantages of using washout filters are demonstrated in the control of a high angle-of-attack nonlinear aircraft model. In the bifurcation control of an F-8 model in [2], the performance of the controller depended on a priori computation of equilibrium curves. Moreover, the controller...
We consider the problem of designing stabilizing control laws for flight over a broad range of angles-of-attack which also serve to signal the pilot of impending stall. The paper employs bifurcation stabilization coupled with more traditional linear control system design. To focus the discussion, a detailed analysis is given for a model of the longitudinal dynamics of an F-8 Crusader.
A new approach is presented for analyzing nonlinear and high-?? dynamic behavior and stability of aircraft. This approach involves the application of bifurcation analysis and catastrophe theory methodology to specific phenomena such as stall, departure, spin entry, flat and steep spin, nose slice, and wing rock. Quantitative results of a global nature are generated using numerical techniques based...
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