Mechanics of Solids (about journal) 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

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IssuesArchive of Issues2002-1pp.92-98

Archive of Issues

Total articles in the database: 11223
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): 8011
In English (Mech. Solids): 3212

<< Previous article | Volume 37, Issue 1 / 2002 | Next article >>
E. L. Gusev, "Periodicity of inhomogeneous structures realizing the limiting capabilities under the action of elastic waves," Mech. Solids. 37 (1), 92-98 (2002)
Year 2002 Volume 37 Number 1 Pages 92-98
Title Periodicity of inhomogeneous structures realizing the limiting capabilities under the action of elastic waves
Author(s) E. L. Gusev (Yakutsk)
Abstract Problems of optimal design are considered for inhomogeneous structures realizing the limiting capabilities when subjected to elastic waves. The problem of optimal synthesis consists in choosing a structure of a composite material (physical properties of the layers, layer thickness, number of layers, mutual position of layers with different physical properties) ensuring that the energy characteristics of elastic waves would be as close as possible to the desired ones.

On the basis of a qualitative analysis of necessary conditions of optimality related to nonlocal variations of control parameters, it is shown that the relations between the parameters of structures realizing the limiting capabilities possess the periodicity property.

An a priori knowledge of such qualitative relationships leads to a substantial reduction of the dimension of the original problem of optimal synthesis, which opens up wide possibilities for the investigation of the limiting capabilities of structures subjected to elastic waves.
References
1.  E. L. Gusev, A priori Estimates in Problems of Synthesis of Multi-layered Structures Interacting with Waves [in Russian], Preprint, YaF SO AN SSSR, Yakutsk, 1990.
2.  E. L. Gusev, Mathematical Methods of Synthesis of Stratified Structures [in Russian], Nauka, Novosibirsk, 1993.
3.  V. T. Grinchenko and V. V. Meleshko, Harmonic Vibrations and Waves in Elastic Bodies [in Russian], Naukova Dumka, Kiev, 1981.
4.  E. L. Gusev, "Qualitative relationships between parameters of optimal structures in problems of optimal synthesis of inhomogeneous structures with a given set of materials in the presence of waves," Doklady AN, Vol. 346, No. 3, pp. 324-326, 1996.
5.  E. L. Gusev, "An a priori restrictions on the class of admissible materials in problems of optimal synthesis of structures made up of finitely many materials under the action of wave processes," Doklady AN, Vol. 349, No. 3, pp. 329-331, 1996.
6.  E. L. Gusev, "Qualitative relationships in optimal structures in problems of optimal synthesis of acoustic systems," Akust. Zh., Vol. 43, No. 5, pp. 704-708, 1997.
7.  E. L. Gusev, "Narrowing of the region of search in problems of optimal synthesis of layered structures with a set of properties," J. Appl. Mech. Techn. Phys., Vol. 38, No. 5, pp. 768-773, 1997.
8.  E. L. Gusev, "The property of internal symmetry in the relations between the parameters of optimal structures in problems of optimal synthesis of structures exposed to waves," in Proceedings of Intern. Conf. "Symmetries in Natural Sciences" [in Russian], pp. 47-48, Krasnoyarsk, 1998.
9.  E. L. Gusev, "Qualitative relationships between the parameters of layered structures realizing the limiting capabilities," Akust. Zh., Vol. 45, No. 4, pp. 499-503, 1999.
10.  L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, Mathematical Theory of Optimal Processes [in Russian], Nauka, Moscow, 1983.
Received 28 December 1999
<< Previous article | Volume 37, Issue 1 / 2002 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100