| | 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
|
In English (Mech. Solids): | | 4810 |
|
<< Previous article | Volume 50, Issue 3 / 2015 | Next article >> |
V.V. Vedeneev and S.V. Shitov, "Flutter of a Periodically Supported Elastic Strip in a Gas Flow with a Small Supersonic Velocity," Mech. Solids. 50 (3), 318-336 (2015) |
Year |
2015 |
Volume |
50 |
Number |
3 |
Pages |
318-336 |
DOI |
10.3103/S0025654415030085 |
Title |
Flutter of a Periodically Supported Elastic Strip in a Gas Flow with a Small Supersonic Velocity |
Author(s) |
V.V. Vedeneev (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr. 1, Moscow, 119192 Russia, vasily.vedeneev@mail.ru)
S.V. Shitov (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr. 1, Moscow, 119192 Russia, shltov@gmail.com) |
Abstract |
It is assumed in all classical studies of panel flutter that the unsteady pressure of a gas flow can be calculated according to the piston theory. But the piston theory holds only for large Mach numbers and does not cover the region 1<M<2. It was recently shown that, in this range of Mach numbers, there is a region of panel flutter, referred to as single-mode flutter, which differs from the "classical" (coupled) flutter. In the present paper, single-mode flutter is studied numerically for a strip-shaped periodically supported plate. The boundaries of stability are constructed, and the influence of the strip width and the distance between the supports is analyzed. |
Keywords |
panel flutter, plate flutter, single-mode flutter, single-degree-of-freedom flutter |
References |
1. | A. B. Movchan, "On Vibrations of a Plate Moving in a Gas," Prikl.
Mat. Mekh. 20 (2), 211-222 (1956) [J. Appl. Math. Mech.
(Engl. Transl.)]. |
2. | A. B. Movchan,
"On Stability of a Panel Moving in a Gas,"
Prikl. Mat. Mekh.
21 (2), 231-243 (1957)
[J. Appl. Math. Mech. (Engl. Transl.)]. |
3. | A. A. Il'yushin,
"Law of Plane Sections in Supersonic High-Speed Aerodynamics,"
Prikl. Mat. Mekh.
20 (6), 733-755 (1956)
[J. Appl. Math. Mech. (Engl. Transl.)]. |
4. | V. V. Bolotin,
Nonconservative Problems of the Theory of Elastic Stability. (Fizmatgiz, Moscow, 1961; Pergamon Press, New York, 1963). |
5. | E. I. Grigolyuk, R. E. Lamper, and K. G. Shandarov,
"Flutter of Panels and Shells,"
in Progress in Science and Technology. Mechanics. (VINITI, Moscow, 1963),
pp. 34-90
[in Russian]. |
6. | J. Dugundji,
"Theoretical Consideration of Panel Flutter at High Supersonic Mach Numbers,"
AIAA J.
4 (7), 1257-1266 (1966). |
7. | E. Y. Dowell,
Aeroelasticity of Plates and Shells. (Noordhoff International Publ., Leyden, 1974). |
8. | Yu. N. Novichkov,
"Flutter of Plates and Shells,"
in Progress in Science and Technology. Mechanics of Deformable Solids, Vol. 11
(VINITI, Moscow, 1978),
pp. 67-122
[in Russian]. |
9. | C. Mei, K. Abdel-Motagaly, and R. R. Chen,
"Review of Nonlinear Panel Flutter at Supersonic and Hypersonic Speeds,"
Appl. Mech. Rev.
10, 321-332 (1999). |
10. | S. D. Algasin and I. A. Kiiko,
Flutter of Plates and Shells. (Nauka, Moscow, 2006)
[in Russian]. |
11. | I. A. Kiiko and V. V. Pokazeev, "Vibrations and Stability of a
Viscoelastic Strip Placed into a Gas Flow," Dokl. Ross. Akad. Nauk
410 (3), 342-344 (2005) [Dokl. Phys. (Engl. Transl.)
50 (3), 158-160 (2005)]. |
12. | B. Duan, K. Abdel-Motagaly, X. Guo, and C. Mei,
"Suppression of Supersonic Panel Flutter and Thermal Deflection
Using Shape Memory Alloy,"
AIAA Paper, AIAA-2003-1513 (2003). |
13. | R. C. Zhou, Z. Lai, D. Y. Xue, et al.,
"Suppression of Nonlinear Panel Flutter with Piezoelectric Actuation
Using Finite Element Method,"
AIAA J.
33 (6), 1098-1105 (1995). |
14. | Dun Min-De,
"On the Stability of Elastic Plates in a Supersonic Stream,"
Dokl. Akad. Nauk SSSR
120 (4), 726-729 (1958)
[Sov. Phys. Dokl. (Engl. Transl.)
3, 479-482 (1958)]. |
15. | H. C. Nelson and H. J. Cunnigham,
"Theoretical Investigation of Flutter of Two-Dimensional Flat Panels
with One Surface Exposed to Supersonic Potential Dlow,"
NACA Report No. 1280 (1956). |
16. | T. Y. Yang,
"Flatter of Flat Finite Element Panels in Supersonic Potential Flow,"
AIAA J.
13 (11), 1502-1507 (1975)
[Raketn. Tekhn. Kosmonavt. (Russ. Transl.)
13 (11), 110-117 (1975)]. |
17. | O. O. Bendiksen and G. A. Davis,
"Nonlinear Travelling Wave Flutter of Panels in Transonic Flow,"
AIAA Paper, AIAA-95-1486 (1995). |
18. | O. O. Bendiksen and G. Seber,
"Fluid-Structure Interactions with Both Structural and Fluid Nonlinearities,"
J. Sound Vibr.
315 (3), 664-684 (2008)]. |
19. | E. H. Dowell,
"Aerodynamic Boundary Layer Effect on Flutter and Damping of Plates,"
J. Aircraft
10 (12), 734-738 (1973). |
20. | R. P. Selvam, M. R. Visbal, and S. A. Morton,
"Computation of Nonlinear Viscous Panel Flutter
Using a Fully-Impact Aeroelastic Solver,"
AIAA Paper, AIAA-98-1844 (1998). |
21. | R. E. Gordnier and M. R. Visbal,
"Computation of Three-Dimensional Nonlinear Panel Flutter,"
AIAA Paper, AIAA-2001-0571 (2001). |
22. | A. Hashimoto, T. Aoyama, and Y. Nakamura,
"Effect of Turbulent Boundary Layer on Panel Flutter,"
AIAA J.
47 (12), 2785-2791 (2009). |
23. | V. V. Vedeneev,
"Flutter of a Wide Strip Plate in a Supersonic Gas Flow,"
Izv. Akad. Nauk. Mekh. Zhidk. Gaza,
No. 5, 155-169 (2005)
[Mech. Fluids (Engl. Transl.)
40 (5), 805-817 (2005)]. |
24. | A. G. Kulikovskii,
"On the Stability of Homogeneous States,"
Prikl. Mat. Mekh.
30 (1), 148-153 (1966)
[J. Appl. Math. Mech. (Engl. Transl.)
30 (1), 180-187 (1966)]. |
25. | V. V. Vedeneev,
"Panel Flutter at Low Supersonic Speeds,"
J. Fluids Struct.
19, 79-96 (2012). |
26. | V. V. Vedeneev,
"Interaction of Panel Flutter with Inviscid Boundary Layer Instability in Supersonic Flow,"
J. Fluid Mech.
736, 216-249 (2013). |
27. | V. V. Vedeneev,
"Effect of Damping on Flutter of Simply Supported
and Clamped Panels at Low Supersonic Speeds,"
J. Fluid Struct.
40, 366-372 (2013). |
28. | V. V. Vedeneev, S. V. Guvernyuk, A. F. Zubkov, and M. E. Kolotnikov,
"Experimental Investigation of Single-Mode Panel Flutter
in Supersonic Gas Flow,"
Izv. Akad. Nauk. Mekh. Zhidk. Gaza,
No. 2, 161-175 (2010)
[Mech. Fluids (Engl. Transl.)
45 (2), 312-324 (2010)]. |
29. | V. V. Vedeneev,
"Nonlinear High-Frequency Flutter of a Plate,"
Izv. Akad. Nauk. Mekh. Zhidk. Gaza,
No. 5, 197-208 (2007)
[Mech. Fluids (Engl. Transl.)
42 (5), 858-868 (2007)]. |
30. | V. V. Vedeneev,
"Limit Oscillatory Cycles in the Single Mode Flutter of a Plate,"
Prikl. Mat. Mekh.
77 (3), 355-370 (2013)
[J. Appl. Math. Mech. (Engl. Transl.)
77 (3), 257-267 (2013)]. |
31. | V. V. Vedeneev,
"High-Frequency Flutter of a Rectangular Plate,"
Izv. Akad. Nauk. Mekh. Zhidk. Gaza,
No. 4, 173-181 (2006)
[Mech. Fluids (Engl. Transl.)
41 (4), 641-648 (2006)]. |
32. | V. V. Vedeneev,
"Study of the Single-Mode Flutter of a Rectangular Plate
in the Case of Variable Amplification of the Eigenmode along the Plate,"
Izv. Akad. Nauk. Mekh. Zhidk. Gaza,
No. 4, 163-174 (2010)
[Mech. Fluids (Engl. Transl.)
45 (4), 656-666 (2010)]. |
33. | A. G. Kulikovskii,
"The Global Instability of Uniform Flows in Non-One-Dimensional Regions,"
Prikl. Mat. Mekh.
70 (2), 257-263 (2006)
[J. Appl. Math. Mech. (Engl. Transl.)
70 (2), 229-234 (2006)]. |
34. | J. W. Miles,
The Potential Theory of Unsteady Supersonic Flow. (Cambridge Univ. Press, Cambridge, 1959; Fizmatgiz, Moscow, 1963). |
35. | S. I. Soloviev,
"The Finite-Element Method for Symmetric Nonlinear Eigenvalue Problems,"
Zh. Vychisl. Mat. Mat. Fiz.
37 (11), 1311-1318 (1997)
[Comput. Math. Math. Phys. (Engl. Transl.)
37 (11), 1269-1276 (1997)]. |
36. | M. A. Lavrentiev and B. V. Shabat,
Method of the Theory of Functions of a Complex Variable. (Nauka, Moscow, 1973)
[in Russian]. |
|
Received |
04 March 2013 |
Link to Fulltext |
|
<< Previous article | Volume 50, Issue 3 / 2015 | Next article >> |
|
If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|