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R.Sh. Gimadiev, "Braking of a Body by a Soft Inflatable Shell on Impact on a Surface," Mech. Solids. 52 (5), 564-574 (2017)
Year 2017 Volume 52 Number 5 Pages 564-574
DOI 10.3103/S0025654417050119
Title Braking of a Body by a Soft Inflatable Shell on Impact on a Surface
Author(s) R.Sh. Gimadiev (Kazan State Power Engineering University, ul. 2-ya Yugo-Zapadnaya 26, Kazan, 429934 Russia, gimadievr@mail.ru)
Abstract The results of mathematical simulation of a solid velocity damping by a soft skeleton fabric shell filled with air on impact on a hard surface are given. The equations of motion of a falling body and of the loading dynamics of membrane shells and the reinforcement rings in the fabric shell are considered together. The mathematical model and the numerical algorithm for solving the spatial problem of the dynamics of inflation of a shell with reinforcement rings are explicitly realized by the finite difference method. The boundary conditions are posed with regard to the contact of the shell elements in compression near the ring belts. The results of numerical experiments considering the interaction of the falling body with the deformable skeleton shell are discussed. The parameters influencing the process of the body braking on impact on a surface are determined.
Keywords body braking, soft skeleton shell, spatial dynamics, results of numerical experiments
References
1.  A. G. Giniyatullin and R. Sh. Gimadiev "Studies of the Balloon Catheter Shell Inflation," Med. Tekhn., No. 2, 30-33 (1993).
2.  R. Sh. Gimadiyev, T. Z. Gimadiyeva, and V. N. Paimushin, "The Dynamic Process of the Inflation of Thin Elastomeric Shells under the Action of an Excess Pressure," Prikl. Mat. Mekh. 78 (2), 236-248 (2014) [J. Appl. Math. Mech. (Engl. Transl.) 78 (2), 163-171 (2014)].
3.  R. Sh. Gimadiev, T. Z. Gimadieva, and V. N. Paimushin, "Mathematical Simulation of Dynamics at Elastomeric Shells Inflation," in Int. Conference on the Methods of Aerophysical Research. 19-25 August, 2012. Kazan, Russia, Abstracts, Vol. 1 (Kazan, 2012) pp. 114-115.
4.  A. N. Lobanov, Foundations of Parachute Calculation and Design (Mashinostroenie, Moscow, 1965) [in Russian].
5.  M. A. Il'gamov, Introduction to Nonlinear Hydroelasticity (Nauka, Moscow, 1991) [in Russian].
6.  N. F. Morozov, A. T. Ponomarev, and O. V. Rysev, Mathematical Modeling of Complex Aeroelastic Systems (Fizmatlit, Moscow, 1995) [in Russian].
7.  Yu. V. Moiseev, O. V. Rysev, and V. V. Fedorov, "Mathematical Model of Two-Shell Gliding Parachute Shaping," in Proc. of the Seminar "Shell Interaction with Environment," No. 20 (Kazan, KFTI, KF Akad. Nauk SSSR, 1985), pp. 31-40 [in Russian].
8.  R. Sh. Gimadiev, Dynamics of Soft Parachute-Type Shells (Kazan Gos. Energ. Univ., Kazan, 2006) [in Russian].
9.  R. Sh. Gimadiev, V. P. Kurinskaya, and Yu. V. Mikhailovskii, "Numerical and Experimental Study of Ribbon Cross-Shaped Parachute Opening," Izv. Vyssh. Uchebn. Zaved. Aviats. Tekhnika, No. 1, 6-11 (1997).
10.  V. V. Ridel and B. V. Gulin, Dynamics of Soft Shells (Nauka, Moscow, 1990) [in Russian].
11.  A. N. Gilmanov, "Dynamics of Impact Interaction of a Soft Gas-Filled Spherical Shell with a Soft Surface." Trudy Sem. "Nonlinear Problems of Aerohydroelasticity" (Kazan, KFTI, KF Akad. Nauk SSSR), No. 11, 98-114 (1979).
12.  R. R. Shagidullin, Problems of Mathematical Modeling of Soft Shells (Kazan Mat. Obshch., Kazan, 2001) [in Russian].
13.  V. E. Magula, Ship Elastic Structures (Sudostroenie, Leningrad, 1978) [in Russian].
14.  F. Otto and R. Trostel, Pneumatic Building Structures (Stroiizdat, Moscow, 1967) [in Russian].
15.  V. V. Novozhilov, Fundamentals of Nonlinear Elasticity (OGIZ, Leningrad-Moscow, 1948) [in Russian].
16.  K. Z. Galimov, Foundations of Nonlinear Theory of Thin Shells (Izdat. Kazan. Univ., Kazan, 1975) [in Russian].
17.  K. F. Chernykh, Nonlinear Elasticity in Engineering (Mashinostroenie, Leningrad, 1986) [in Russian].
18.  E. P. Kolpak, Stability of Membrane Shells in Large Deformations (SPbGU, St. Petersburg, 2000) [in Russian].
19.  V. N. Paimushin, "A Theory of Thin Shells with Finite Displacements and Deformations Based on a Modified Kirchhoff-Love Model," Prikl. Mat. Mekh. 75 (5), 813-829 (2011) [J. Appl. Math. Mech. (Engl. Transl.) 75 (5), 568-579 (2011)].
20.  A. A. Samarskii and Yu. P. Popov, Difference Schemes for Gas Dynamics (Nauka, Moscow, 1992) [in Russian].
Received 25 November 2015
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