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 Issues2013-6pp.697-705

Archive of Issues

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

<< Previous article | Volume 48, Issue 6 / 2013 | Next article >>
A.E. Babaev and I.V. Yanchevskii, "Identification of External Load and Control of Deformed State of an Asymmetric Trimorphic Beam in Unsteady Modes," Mech. Solids. 48 (6), 697-705 (2013)
Year 2013 Volume 48 Number 6 Pages 697-705
DOI 10.3103/S0025654413060125
Title Identification of External Load and Control of Deformed State of an Asymmetric Trimorphic Beam in Unsteady Modes
Author(s) A.E. Babaev (Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Nesterova 3, Kiev, 03057 Ukraine, artashes@i.com.ua)
I.V. Yanchevskii (Kharkiv National Automobile and Highway University, Petrovskogo 25, Kharkiv, 61002 Ukraine, yanchevsky@khadi.kharkov.ua)
Abstract We consider the problem of identifying the time-variation law of an external pulse load acting on an asymmetric trimorphic electroelastic beam with simultaneous minimization of the deformed state of the beam. In this problem, one of the trimorph layers operates in the direct piezoelectric effect mode and the other in the inverse piezoelectric effect mode. The control is performed by exciting the actuating piezoelectric layer by an electric signal determined according to one of the proposed criteria. The solution is obtained by using the Laplace integral transform with respect to time. The desired variables are determined from a system of Volterra integral equations after analytically passing to the space of transforms. The computations are based on special regularizing algorithms. Numerical results are presented and analyzed.
Keywords asymmetric trimorphic beam, unsteady process, identification, Laplace integral representation
References
1.  V. M. Sharapov, M. P. Musienko, and E. V. Sharapova, Piezoelectric Transducers (Tekhnosfera, Moscow, 2006) [in Russian].
2.  J. Tani, T. Takagi, and J. Qiu, "Intelligent Material Systems: Applications of Functional Materials," Appl. Mech. Rev. 51 (8), 505-521 (1998).
3.  S. S. Rao and M. Sunar, "Piezoelectricity and Its Use in Disturbance Sensing and Control of Flexible Structures: A Survey," Appl. Mech. Rev. 47 (4), 113-123 (1994).
4.  N. A. Shulga and A. M. Bolkisev, Vibrations of Piezoceramic Bodies (Naukova Dumka, Kiev, 1990) [in Russian].
5.  A. N. Guz' (Editor), Mechanics of Coupled Fields, in 5 volumes, Vol. 5: Electroelasticity, Ed. by V. T. Grinchenko, A. F. Ulitko, and N. A. Shulga (Naukova Dumka, Kiev, 1989) [in Russian].
6.  Yu. B. Evseichik, S. I. Rudnitskii, V. L. Sharapov, and N. A. Shulga, "Sensitivity of Bimorph Transducer of Metal-Ceramic Type," Prikl. Mekh. 26 (12), 67-75 (1990).
7.  S. I. Rudnitskii, V. M. Sharapov, and N. A. Shulga, "Vibrations of Disk Bimorph Transducer of of Metal-Ceramic Type," Prikl. Mekh. 26 (10), 64-72 (1990).
8.  A. N. Guz' and V. D. Kubenko (Editors), Methods for Calculating Shells, Vol. 5: Theory of Nonstationary Aerohydroelasticity of Shells (Naukova Dumka, Kiev, 1982) [in Russian].
9.  E. I. Grigolyuk and A. G. Gorshkov, Nonstationary Hydroelasticity of Shells (Sudostroenie, Leningrad, 1974) [in Russian].
10.  A. E. Babaev, A. A. Babaev, and I. V. Yanchevskii, "Nonstationary Iscillations of a Bimorph Beam in Regimes of Direct and Inverse Piezoelectric Effect," Akt. Probl. Fiz.-Mekh. Issled. Akust. Volny, No. 3, 16-27 (2007).
11.  A. E. Babaev and Yu. B. Moseenkov, "Nonstationary Vibrations of Thin-Walled Electroelastic Strip," Dokl. Akad Nauk Ukr. Ser. Mat., Estestvozn., Tekhn. Nauki, No. 12, 54-58 (1994).
12.  I. V. Yanchevskii, "Identification of Nonstationary Load Actind on an Asymmetric Bimorph," Vestnik KhTU "KhPI", "Dynamics and Strength of Machines," No. 36, 184-190 (2008).
13.  V. A. Ditkin and A. P. Prudnikov, Reference Book in Operational Calculus (Vysshaya Shkola, Moscow, 1965) [in Russian].
14.  A. N. Tikhonov, A. V. Goncharskii, V. V. Stepanov, and A. G. Yagola, Numerical Methods for Solving Ill-Posed Problems (Nauka, Moscow, 1990) [in Russian].
Received 02 November 2009
Link to Fulltext
<< Previous article | Volume 48, Issue 6 / 2013 | 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