Verification of the Descent Vehicle Motion Mathematical Model Equations Employing the Developed Technical Complex

Aeronautical and Space-Rocket Engineering


Аuthors

Kukharenko A. S.1*, Koryanov V. V.1**, Kukharenko S. N.2***

1. Baumann Moscow State Technical University, 105005, Moscow, 2nd Baumanskaya St., b. 5, c. 1
2. Sukhoi State Technical University of Gomel, Gomel, Republic of Belarus

*e-mail: kuharenko-as@mail.ru
**e-mail: vkoryanov@bmstu.ru
***e-mail: kuharenko-sn@mail.ru

Abstract

The purpose of the article consists in improving the descent motion module controlling method, allowing for landing in a pre-determined area. It verifies the equations of the descent module angular motion mathematical model while this control performing. The descent module control is being accomplished through the center of mass position changing with the internal movable mass. The descent module is represented as a system of two rigid bodies fixed by a cylindrical hinge.
To check correctness of the assumptions made when compiling the descent module the angular motion mathematical model and its verification, an experimental study of the angular motion of a system of two connected bodies applying the developed technical complex was performed during the work.
The said complex consists of a mechanical system simulating angular motion, measuring instruments and the equipment for the results processing.
The tasks solved to achieve the stated goal are:
1. A mechanical system simulating the angular motion of two connected bodies was realized;
2. The software for the motion parameters measuring and results processing was developed
3. Comparison of the measurement results with the numerical solution results of the mechanical system equations of motion was performed.
The equations of the angular motion of the mechanical system elements of the technical complex were obtained from the descent vehicle angular motion equations. After mechanical parameters measuring of the system and substituting them into the equations of angular motion, the computed values of the elements angular velocities of the e mechanical system were obtained. The performed measurements were compared with the results of solving the equations of the test bench elements angular motion.
The discrepancy between the measurement and simulation results was 3.06%, or 0.185 rad/s2, which confirms correctness of the compiled mathematical model.
The results of the work are technical means of modeling, as well as techniques for the results measuring and processing that may be applied in the scientific research.

Keywords:

change of the center of mass position, rotation of the payload, internal moving mass, verification of the mathematical model equations, the descent vehicle motion control

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