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IssuesArchive of Issues2001-3pp.146-156

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V. A. Aparinov, R. M. Zaichuk, and A. T. Ponomarev, "Modeling shape formation, deformation, and loading of parachutes for small subsonic velocities," Mech. Solids. 36 (3), 146-156 (2001)
Year 2001 Volume 36 Number 3 Pages 146-156
Title Modeling shape formation, deformation, and loading of parachutes for small subsonic velocities
Author(s) V. A. Aparinov (Moscow)
R. M. Zaichuk (Moscow)
A. T. Ponomarev (Moscow)
Abstract This paper presents a discrete elastic model and an aerodynamic discrete vortex model underlying a system of computer-aided analysis of shape formation, stress-strain state, and aerodynamical characteristics of parachutes of various initial shapes (round, square, cross-type) for small subsonic velocities and different values of the angle of attack. (In what follows, the initial shape is also referred as the cutting shape or cutting configuration.) These models are respectively based on the numerical methods of lumped masses and discrete vortices in the form of vortex frameworks. The possibilities of the system are demonstrated by examples. The problems of shape formation, stress-strain state, and aerodynamical characteristics are studied for reefed and unreefed parachutes. The numerical results are compared with wind-tunnel data.
References
1.  S. M. Belotserkovskii, M. I. Nisht, A. T. Ponomarev, and O. V. Rysev, Computer-Aided Investigation of Parachutes and Hang-Gliders [in Russian], Mashinostroenie, Moscow, 1987.
2.  V. I. Morozov, A. T. Ponomarev, and O. V. Rysev, Mathematical Modeling of Complex Aeroelastic Systems [in Russian], Fizmatlit, Moscow, 1995.
3.  O. V. Rysev, A. T. Ponomarev, M. I. Vasil'iev, et al., Parachute Systems [in Russian], Nauka, Moscow, 1986.
4.  V. V. Ridel' and B. V. Glushkov, Dynamics of Soft Shells [in Russian], Nauka, Moscow, 1990.
5.  J. Oden, Finite Elements of Nonlinear Continua [Russian translation], Mir, Moscow, 1976.
6.  A. S. Sakharov, V. N. Kislookii, V. V. Krichevskii, et al., Finite Element Method in Continuum Mechanics [in Russian], Vissha Shkola, Kiev; Fachbuch-Verlag, Leipzig, 1982.
7.  A. V. Larev and Yu. V. Moseev, "Numerical analysis of the stress-strain state of soft stiffened shells by the finite element method," in Dynamical Systems [in Russian], Vyssha Shkola, Kiev, No. 1, 1982, pp. 37-43.
8.  K Washitzu, Variational Methods in Elasticity and Plasticity [Russian translation], Mir, Moscow, 1987.
9.  N. L. Gorskii, "Numerical analysis of soft shell dynamics based on a discrete model," in Dynamical Systems [in Russian], No. 6, Vyssha Shkola, Kiev, 1987.
10.  S. M. Belotserkovskii and M. I. Nisht, Ideal Fluid Flow past Thin Airfoils with or without Separation [in Russian], Nauka, Moscow, 1978.
11.  V. A. Aparinov and A. V. Dvorak, "The method of discrete vortices with closed vortex frameworks," Trudy VVIA, No. 1313, pp. 424-432, 1986.
12.  O. M. Belotserkovskii and Yu. M. Davydov, The Method of Large Particles in Gas Dynamics [in Russian], Nauka, Moscow, 1982.
13.  O. V. Rysev, A. A. Vishnyak, V. M. Churkin, and Yu. N. Yurtsev, Dynamics of Body Linkages in Problems of Motion of Parachute Systems, Mashinostroenie, Moscow, 1992.
14.  I. M. Nosarev, "Investigation of aerodynamics of parachutes for different values of the angle of attack," Trudy TsAGI, No. 1732, 1976.
15.  I. M. Nosarev, "An experimental investigation of aerodynamic characteristics of a three-canopy parachute system," in Parachutes and Permeable Bodies [in Russian], pp. 105-114, Izd-vo MGU, Moscow, 1980.
16.  D. Levin and Z. Shpund, "Canopy geometry effect on aerodynamic behavior of cross-type parachutes," J. Aircraft, Vol. 34, No. 5, pp. 648-652, 1997.
17.  V. A. Aparinov, "Computer-aided investigation of the transverse symmetry loss of a perturbed flow past an aircraft with separation and no sliding," Trudy VVIA, No. 1318, pp. 35-39, 1997.
Received 07 September 1999
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