NUMERICAL SIMULATION OF AN EXTERNAL BALLISTIC PROBLEM USING ANALYTICAL APPROACH AND ATMOSPHERE FLOW VISUALIZATION BY FINITE ELEMENT METHOD
Résumé
Purpose. Analysis of the dynamic characteristics of the cargo in the presence of the speed of its
carrier, taking into account the influence of the external environment and the determination of factors
that affect the operational characteristics and parameters for the dynamic system control.
Methodology. An approximate analytical approach to solving the nonlinear problem of external
ballistics of a system with time-dependent parameters, which is implemented using the asymptotic
perturbation method, and a numerical algorithm for modeling a dynamic process using a 3D software
complex and the finite element method, which allows to visualize the nature of the flow around the
object under wind load conditions.
Findings. An analytical approach to solving the nonlinear problem of external ballistics of a
system with time-varying parameters is proposed, as well as a numerical model, solution and
visualization of a dynamic process that can be applied in problems of mathematical physics and
engineering calculations.
Originality. The use of an approximate analytical approach to solving the nonlinear problem of
external ballistics, which includes a system of time-varying parameters, is a significant innovative
step. For the first time, a three-dimensional distribution of the free fall parameters under atmospheric
conditions was obtained depending on the time of free fall under the condition of an initial velocity
different from zero. Obtaining the characteristics of the distribution, taking into account the
aerodynamic quality of the object, made it possible to adapt the methods of analytical mechanics and
differential equations with variable coefficients to the solution of the applied problem. The obtained
characteristic three-dimensional surface allows to perform a study of the aerodynamic quality of the
object under study using numerical methods and to visualize dynamic processes in three-dimensional
space in order to obtain a qualitative picture of the perturbation of the object by the air flow. This
integrated approach to the study of ballistic characteristics of cargo forms the scientific principle to
perform engineering calculations to solve the problem of controlling dynamic systems.
Practical value. An approximate analytical approach and a calculation model of the dynamic
process of a mechatronic unmanned system make it possible to increase its efficiency in the presence
of an initial speed and ensure the accuracy of the application of ballistic cargo delivery systems in
real operating conditions.
Keywords: external ballistics, nonlinear system of differential equations with variable
coefficients, 3-D and FEA-modeling, aerodynamic pressure, wind load, visualization of atmospheric
flow.
Mots clés
external ballistics nonlinear system of differential equations with variable coefficients 3-D and FEA-modeling aerodynamic pressure wind load visualization of atmospheric flow
external ballistics
nonlinear system of differential equations with variable coefficients
3-D and FEA-modeling
aerodynamic pressure
wind load
visualization of atmospheric flow
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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Licence |