Geodesic
Dynamic analysis of a ballistic missible model
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 10 (2017) no. 4, pp. 56-63

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A hydraulic catching device in the form of a blind water-filled pipe is widely used to ensure safety in tests of ballistic missile models in hydrodynamic test tanks. An air chamber is provided at the pipe end wall to avoid a water-hammer effect. The developed math model and methodology for analyzing dynamics of a ballistic model in a hydraulic catching device permit to choose geometrical parameters of a catching device and decelerate the model in preset design conditions. The model longitudinal equation was derived from the Lagrange equation. The proposed methodology was used to create a software program and make trial calculations. The calculation data were compared with the experimental ones obtained during tests in a hydrodynamic tank. The calculation and experimental data are in good compliance proving adequacy and reliability of the developed math model for a deceleration hydrodynamic device. In case of the given Euler number and model mass, the developed math model allows choosing basic parameters of a catching decelerating device which are required for deceleration. The proposed methodology can be used to define geometrical parameters of a decelerating and catching device for testing a ballistic model in a hydrodynamic tank.
Keywords: missile model; hydrodynamics; hydraulic device; test; air chamber. 
@article{VYURU_2017_10_4_a5,
     author = {V. I. Pegov and I. Yu. Moshkin},
     title = {Dynamic analysis of a ballistic missible model},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {56--63},
     publisher = {mathdoc},
     volume = {10},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2017_10_4_a5/}
}
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V. I. Pegov; I. Yu. Moshkin. Dynamic analysis of a ballistic missible model. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 10 (2017) no. 4, pp. 56-63. http://geodesic.mathdoc.fr/item/VYURU_2017_10_4_a5/