| | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544 Online ISSN 1934-7936 |
Archive of Issues
Total articles in the database: | | 12854 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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In English (Mech. Solids): | | 4810 |
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I.K. Marchevskii and G.A. Shcheglov, "On the Dynamic Stability of an Elastically Fixed High-Drag Airfoil under Vortical Parametric Excitations," Mech. Solids. 51 (3), 349-356 (2016) |
Year |
2016 |
Volume |
51 |
Number |
3 |
Pages |
349-356 |
DOI |
10.3103/S0025654416030122 |
Title |
On the Dynamic Stability of an Elastically Fixed High-Drag Airfoil under Vortical Parametric Excitations |
Author(s) |
I.K. Marchevskii (Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005 Russia, iliamarchevsky@mail.ru)
G.A. Shcheglov (Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005 Russia, shcheglov_ga@bmstu.ru) |
Abstract |
Conditions of dynamic instability at parametric resonance in an oscillatory system with three degrees of freedom, which models the motion of an elastically fixed high-drag airfoil under unsteady aerohydrodynamic loads due to the vortex trail separation, are obtained in the linear approximation. |
Keywords |
parametric resonance, dynamic stability domain, aerohydroelasticity, vortex trail, aerodynamic loads, system with three degrees of freedom, Glauert condition |
References |
1. | O. S. Popel and V. L. Tumanov,
"Renewable Energy Sources: State of the Art and Development Perspectives,"
Mezhdunarod. Nauch. Zh. "Alternat. Energet. Ekolog.,"
No. 2, 135-148 (2007). |
2. | M. M. Bernitsas, K. Raghavan, Y. Ben-Simon, and E. M. Garcia,
"VIVACE (Vortex Induced Vibration Aquatic Clean Energy):
A New Concept in Generation of Clean and Renewable Energy from Fluid Flow,"
J. Offshore Mech. Arctic Engng
130, No. 4 (2008). |
3. | P. R. Andronov, M. Z. Dosaev, G. Ya. Dynnikova, et al., "Modeling
of Windmill of Oscillatory Type," Probl. Mashinostr. Nadezhn.
Mashin, No. 4, 86-91 (2009). |
4. | B. H. Huynh, T. Tjahjowidodo, Z. W. Zhong, et al.,
"Nonlinearly Enhanced Vortex Induced Vibrations for Energy Harvesting,"
in IEEE International Conference on Advanced Intelligent Mechatronics (AIM),
Busan (Korea)
(2015),
pp. 91-96. |
5. | A. Zhukauskas, R. Ulinskas, and V. Katinas,
Fluid Dynamics and Flow-Induced Vibration of Tube Banks
(Mosklas, Vilnus, 1984; Hemisphere Publishing Corp., New York, Washington, London, 1988). |
6. | S. I. Devnin,
Aerohydromechanics of High-Drag Structures
(Sudostroenie, Leningrad, 1983)
[in Russian]. |
7. | E. Simiu and R. H. Scanlan,
Wind Effects on Structures
(John Wiley, New York, 1978; Stroiizdat, Moscow, 1984). |
8. | Y. C. Fung,
An Introduction to the Theory of Aeroelasticity
(Wiley, New York, 1955; Fizmatgiz, Moscow, 1959). |
9. | H. Glauert,
"The Motion of an Aerofoil about a Fixed Axis,"
in Reports and Memoranda, No. 595
(Great Britain Advisory Committee for Aeronautics (GBACA), 1919). |
10. | J. P. Den-Hartog,
"Transmission Line's Vibrations due to Sleet,"
Trans. AIEE
51, 1974-1076 (1932). |
11. | V. I. Van'ko and E. V. Solovieva, "Conditions of Aerodynamic
Instability of Airfoil Equilibrium Positions," Zh. Prikl. Mekh.
Tekhn. Fiz. 37 (5), 29-34 (1996) [J. Appl. Mech. Tech.
Phys. (Engl. Transl.) 37 (5), 638-642 (1996)]. |
12. | I. K. Marchevskii,
"On Stability Conditions of Profile Equilibrium in a Flow,"
Vestnik MGTU im. Baumana. Ser. Est. Nauki,
No. 4, 29-36 (2007). |
13. | B. V. Kurzin, "Mathematical Model of Aeroelastic Vibrations of
Cascades of Axial Turbomachine Blades Caused by Circumferential
Nonuniformity of the Flow," Zh. Prikl. Mekh. Tekhn. Fiz.
50 (6), 134-145 (2009) [J. Appl. Mech. Tech. Phys. (Engl.
Transl.) 50 (6), 1026-1035 (2009)]. |
14. | A. I. Maslova and A. V. Pirozhenko,
"Parametric Resonance in Oscillations of a Spacecraft
under the Action of a Variable Aerodynamic Torque,"
Mekh. Tverd. Tela,
No. 40, 140-151 (2010). |
15. | H. Lumbantobing,
"On the Parametric Excitation of Some Nonlinear Oscillators,"
Reports of the Department of Applied Mathematical Analysis, Report No. 01-11
(Delft Univ. of Technology, Delft 2003). |
16. | J.-H. Chang, R. O. Stearman, D. Choi, and E. J. Powers,
"Identification of Aeroelastic Phenomenon Employing Bispectral Analysis Techniques,"
in 3rd Intern. Modal Analysis Conference, Orlando, Florida, USA
(1985),
pp. 956-964. |
17. | S. V. Chelomei,
"On Dynamic Stability of Elastic Systems,"
Dokl. Akad. Nauk SSSR
252 (2), 307-310 (1980). |
18. | S. V. Chelomei and G. A. Shcheglov,
"On the Dynamic Stability of a Rectilinear Pipeline
Acted upon by a Variable Axial Force
due to the Flow of a Pulsating Fluid,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 175-184 (1998)
[Mech. Solids (Engl. Transl.)
33 (6), 140-147 (1998)]. |
19. | V. A. Yakubovich and V. M. Starzhinskii,
Linear Differential Equations with Periodic Coefficients and Their Applications
(Nauka, Moscow, 1972)
[in Russian]. |
20. | L. D. Akulenko and S. V. Nesterov,
"Parametric Vibrations of a Mechanical System and Their Stability for an Arbitrary Modulation Coefficient,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 3-13 (2013)
[Mech. Solids (Engl. Transl.)
48 (2), 119-127 (2013)]. |
21. | V. V. Larichkin,
Aerodynamics of Cylindrical Bodies and Some Engineering Problems of Ecology
(Izdat. NGTU, Novosibirsk, 2006)
[in Russian]. |
22. | N. N. Bogolyubov and Yu. A. Mitropolskii,
Asymptotic Methods in Theory of Nonlinear Oscillations
(Nauka, Moscow, 1974)
[in Russian]. |
|
Received |
05 February 2016 |
Link to Fulltext |
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