Study of the influence of deformations and asymmetry on aircraft movement parameters

The task of studying the influence of deformations and asymmetries is constantly in the researcher’s line of sight. The work is mainly related to the study of the effects of aero-elasticity or mass asymmetry. Meanwhile, these studies, as a rule, do not consider the dynamics of bodies with irreversible significant deformations and the asymmetries caused by these initially symmetric bodies. The relevance of the task under study is related to both the need to study the dynamics of such objects and the lack of studies already conducted. The problem of parametric resonance of longitudinal and lateral oscillations of an irreversibly deformed body with deformations expressed in an arbitrarily curved axis is considered. On the basis of the developed theoretical approach, taking into account the peculiarities of the geometry of deformed bodies and the derived equations of motion dynamics, practical research of the resonance phenomenon was carried out. For small deformations and small of attack and slip angles the corresponding expressions are obtained using linear decomposition of aerodynamic forces and moments. The main attention is paid to the specifics of the object with significant deformations, when the angles of attack and slip can no longer be accepted by small value. The most favorable conditions for the resonance appearance are shown, as well as requirements to the object, in the performance of which resonance is impossible. The problem is considered both in the deterministic and stochastic formulation. It is noted that asymmetry has a significant impact on the movement of the object, in some cases exceeding the influence of disturbances. The results of modeling performed with the MATLAB software package for different ratios of object parameters, deformation levels and initial conditions are given. MATLAB visualization tools made it possible to present the results in a visual form.