Flight Dynamics Simulators of Modular Structure: Assessment of the Dynamic Characteristics of an Object

Abstract

Improving the modeling of the dynamics of an object of an ergatic system requires the development of rational mathematical models based on flexible modular software, design automation, testing, as well as improving methods for identifying and correcting models. With a sharp increase in the quality of computer systems, the relevance of the development of analytical methods for the study of complex dynamic systems, including for the decomposition and creation of a modular hierarchical structure, has only increased. Proceeding from this, in the work in the application to the development of aviation simulators, the criteria for evaluating the dynamic characteristics of the object by the operator during the normal functioning of the ergatic system are determined. The main attention is paid to the short-period component of the longitudinal motion. The expansion of the spatial motion into longitudinal and transverse is carried out in terms of the roots of the characteristic polynomial of the fourth order (an example is given). A graphical-analytical method for determining the roots of a characteristic polynomial has been developed; the calculation algorithm is presented (it was effectively used in the development of a number of simulators). When studying spatial motion, it is natural to divide into separate channels. The simulation characteristics of the simulators are determined based on the corresponding simulation characteristics for each of the channels. Root methods play a special role in such studies. We restrict ourselves to systems described on each of the channels by systems of ordinary differential equations. The formalization of the criteria for evaluating the dynamic characteristics of the object by the operator in the process of functioning of the ergatic system is carried out.