| | 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: | | 12804 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
In English (Mech. Solids): | | 4760 |
|
<< Previous article | Volume 38, Issue 2 / 2003 | Next article >> |
E. L. Gusev, "Limiting capabilities of layered media subjected to acoustic waves," Mech. Solids. 38 (2), 149-153 (2003) |
Year |
2003 |
Volume |
38 |
Number |
2 |
Pages |
149-153 |
Title |
Limiting capabilities of layered media subjected to acoustic waves |
Author(s) |
E. L. Gusev (Yakutsk) |
Abstract |
We investigate problems of optimal synthesis of layered structures
subjected to acoustic waves. The set of design materials is assumed
discrete. We study the possibilities for creating effective methods for
the design of optimal layered structures realizing their limiting
capabilities with respect to a prescribed set of properties. On the basis
of a qualitative investigation of necessary optimality conditions related
to nonlocal variations of control parameters, we establish certain extremal
relations which characterize the mutual dependence of the parameters of
optimal acoustic structures. These extremal relations can be used for an
effective analysis of limiting capabilities of layered structures to
control energy characteristics of acoustic waves. |
References |
1. | E. L. Korotyaev,
"Wave propagation in a one-dimensional periodic medium,"
Doklady AN, Vol. 336, No. 2, pp. 171-174, 1994. |
2. | M. I. Imanaliev, R. K. Khanov, and Sh. D. Shamgunov,
"Interaction of load waves in an elastic medium with layered obstacles,"
Doklady AN, Vol. 335, No. 2, pp. 167-169, 1994. |
3. | J. S. Hesthaven, "On the analysis and construction of perfectly
matched layers for the linearized Euler equations,"
J. Comput. Phys., Vol. 142, No. 1, pp. 126-147, 1998. |
4. | E.-R. Michael,
"Simplified models of transient elastic waves in finite axisymmetric
layered media,"
J. Acoust. Soc. Amer, Vol. 104, No. 6, pp. 3369-3384, 1998. |
5. | A. N. Shupikov, N. V. Smetankina, and H. A. Sheludkov,
"Selection of optimal parameters of multilayer plates at nonstationary
loading," Meccanica, Vol. 33, No. 6, pp. 553-564, 1998. |
6. | J. K. Thompson,
"Optimization of vehicle interior noise treatment,"
Sound and Vibration, Vol. 33, No. 6, pp. 12-15, 1999. |
7. | S. Y. Russel, Han-Pin Kan, and R. B. Deo,
"Composite sandwich panel design," Aerosp. Eng. Vol. 15, No. 4,
pp. 33-37, 1995. |
8. | N. V. Smetankina, S. Y. Sotrikhin, and A. N. Shupikov, "Theoretical
and experimental investigation of vibration of multilayer plates under the
action of impulse and impact loads," Int. J. Solids and Struct., Vol. 32,
No. 8-9, pp. 1247-1258, 1995. |
9. | C. Huang and B. Kroplin, "On the optimization of composite
laminated plates," Eng. Comput., Vol. 12, No. 5, pp. 403-414, 1995. |
10. | I. Hagiwara and A. Nagamatsu, "Review of optimal design in
dynamics," Trans. Jap. Soc. Mech. Eng., Vol. 61, No. 587, pp. 2645-2652,
1995. |
11. | E. L. Gusev, Mathematical Methods of Synthesis of Layered Media
[in Russian], Nauka, Novosibirsk, 1993. |
12. | V. K. Ivanov, "On ill-posed problems," Matem. Sbornik, Vol. 61,
No. 2, pp. 211-224, 1963. |
13. | O. A. Liskovets, "Ill-posed problems with a closed noninvertible
operator," Diff. Uravnenia, Vol. 3, No. 4, pp. 636-646, 1967. |
|
Received |
16 April 2001 |
<< Previous article | Volume 38, Issue 2 / 2003 | Next article >> |
|
If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|