 | | 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: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
|
| In English (Mech. Solids): | | 5124 |
|
| << Previous article | Volume 41, Issue 1 / 2006 | Next article >> |
| V. A. Krys'ko and I. V. Kravtsova, "Control of chaotic vibrations in flexible spherical shells," Mech. Solids. 41 (1), 124-134 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
1 |
Pages |
124-134 |
| Title |
Control of chaotic vibrations in flexible spherical shells |
| Author(s) |
V. A. Krys'ko (Saratov)
I. V. Kravtsova (Saratov) |
| Abstract |
A method for controlling the chaotic vibrations of
flexible spherical shells subjected to a transverse alternating load by
the application of either a synchronous alternating moment at the shell
edge, or a localized transverse alternating load, is proposed. |
| References |
| 1. | J. Awrejcewicz and V. A. Krys'ko,
Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells.
Applications of the Bubnov-Galerkin and Finite Difference Numerical Methods,
Springer, Berlin, 2003. |
| 2. | J. Awrejcewicz, V. A. Krys'ko, and A. F. Vakakis,
Nonlinear Dynamics of Continuous Elastic Systems,
Springer, Berlin, 2004. |
| 3. | J. Awrejcewicz and V. A. Krys'ko,
"Feigenbaum scenario exhibited by thin plate dynamics,"
Nonlinear Dynamics,
Vol. 24, No. 4, pp. 373-398, 2001. |
| 4. | J. Awrejcewicz, V. A. Krys'ko, and A. V. Krys'ko,
"Spatial-temporal chaos and solutions exhibited by von Kármán model,"
Intern. Bifurcat. Chaos.,
Vol. 12, No. 7, pp. 1445-1513, 2002. |
| 5. | J. Awrejcewicz and V. A. Krys'ko,
"Nonlinear coupled problems in dynamics of shells,"
Intern. J. Enging Sci.,
Vol. 41, No. 6, pp. 583-607, 2003. |
| 6. | J. Awrejcewicz and V. A. Krys'ko, "Analysis of complex parametric vibrations of plates
and shells using Bubnov-Galerkin approach," Arch. Appl. Mech., Vol. 73, No. 7, pp. 495-504,
2003. |
| 7. | J. Awrejcewicz, V. A. Krys'ko, and G. G. Narkaitis,
"Bifurcations of thin plate-strip excited transversally and axially,"
Nonlinear Dynamics,
Vol. 32, No. 2, pp. 187-209, 2003. |
| 8. | V. A. Krys'ko, J. Awrejcewiczand, and V. M. Bruk, "On the solution of a coupled
thermomechanical problem for non-homogeneous Timoshenko-type shells," J. Math. Appl., Vol. 273,
No. 2, pp. 409-416, 2003. |
| 9. | V. A. Krys'ko and I. V. Kravtsova, "Stochastic vibrations of flexible spherical shells
simply supported at the base contour", Izv. Vuzov. Mashinostroenie, No. 1, pp. 3-13, 2004. |
| 10. | V. A. Krys'ko and I. V. Kravtsova, "Stochastic vibrations of flexible flat axisymmetric
shells exposed inhomogeneous loading," Intern. Conf. "Dynamics of system - theory and
applications," pp. 189-197, Lodz, Poland, 2003. |
| 11. | V. A. Krys'ko and T. V. Shchekaturova, "Chaotic vibrations of conical shells," Izv. AN. MTT [Mechanics of Solids],
No. 5, pp. 153-163, 2004. |
| 12. | J. Awrejcewicz, V. A. Krys'ko, and A. V. Krys'ko, "Complex parametric vibrations of
flexible rectangular plates," Meccanica, Vol. 39, No. 3, pp. 221-244, 2004. |
| 13. | A. W. Habler and L. Luscher, "Resonant stimulation and control of nonlinear
oscillations," Naturwissenschaft., Vol. 79, p. 67, 1989. |
| 14. | E. A. Jackson, "On the control of complex dynamic systems," Physica. D., Vol. 50,
No. 3, pp. 341-366, 1991. |
| 15. | E. A. Jackson, "The entrainment and migration controls of multiple attractor systems,"
Physics Lett. A., Vol. 151, No. 9, pp. 478-484, 1990. |
| 16. | E. Ott, C. Grebogi, and J. A. Yorke, "Controlling chaos," Phys. Rev. Let., Vol. 64,
No. 11, pp. 1196-1199, 1990. |
| 17. | T. Shinbrot, C. Grebogi, J. A. Yorke, and E. Ott, "Using small perturbations to control
chaos," Nature, Vol. 363, No. 6428, pp. 411-417, 1993. |
| 18. | J. Singer, Y.-Z. Wang, and H. H. Ban, "Controlling a chaotic system," Phys. Rev. Let.,
Vol. 66, No. 9, pp. 1123-1125, 1991. |
| 19. | V. Petrov, V. Gaspar, J. Masere, and K. Showalter, "Controlling chaos in the
Belousov-Zhabotinsky reaction," Nature., Vol. 361, No. 6409, pp. 240-243, 1993. |
| 20. | S. J. Schiff, K. Jerder, D. H. Duong, T. Chang, M. L. Spano, and W. L. Ditto
"Controlling chaos in the brain,"
Nature., Vol. 370, No. 6491, pp. 615-620, 1994. |
| 21. | N. V. Valishvili, Computational Methods for Shells of Revolution [in Russian], Mashinostroenie,
Moscow, 1976. |
| 22. | M. J. Feigenbaum, "Quantitative universality for a class of nonlinear transformations,"
J. Stat. Phys., Vol. 19, No. 1, pp. 25-52, 1978. |
|
| Received |
02 July 2004 |
| << Previous article | Volume 41, Issue 1 / 2006 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English