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IssuesArchive of Issues2003-6pp.120-127

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A. G. Bagdoev, A. A. Vantsyan, and Yu. S. Safaryan, "Theoretical and experimental studies of flexural waves in plates in a magnetic field for the spatial and space-averaged problems," Mech. Solids. 38 (6), 120-127 (2003)
Year 2003 Volume 38 Number 6 Pages 120-127
Title Theoretical and experimental studies of flexural waves in plates in a magnetic field for the spatial and space-averaged problems
Author(s) A. G. Bagdoev (Goris)
A. A. Vantsyan (Goris)
Yu. S. Safaryan (Goris)
Abstract The dispersion equation for vibrations of a magnetoelastic plate in transverse and longitudinal magnetic fields is studied theoretically and experimentally. To derive the dispersion equation, we apply the spatial approach, as well as the space-averaged approach based on the classical theory of bending. It is shown that for the transverse field, the results yielded by these approaches differ both qualitatively and quantitatively. The theoretical results are compared with experimental ones. This comparison validates the spatial approach.
References
1.  S. A. Ambartsumyan, G. E. Bagdasaryan, and M. V. Belubekyan, Magnetoelasticity of Thin Shells and Plates [in Russian], Nauka, Moscow, 1983.
2.  S. A. Ambartsumyan and G. E. Bagdasaryan, Electricity-conductive Plates and Shells in a Magnetic Field [in Russian], Fizmatlit, Moscow, 1996.
3.  S. A. Ambartsumyan and M. V. Belubekyan, Vibration and Stability of Current-carrying Elastic Plates [in Russian], Izd-vo NAN Armenii, Yerevan, 1992.
4.  A. G. Bagdoev and L. A. Movsisyan, "Nonlinear vibrations of plates in longitudinal magnetic field," Izv. AN ArmSSR. Mekhanika, Vol. 35, No. 1, pp. 16-22, 1982.
5.  A. G. Bagdoev and L. A. Movsisyan, "Modulation of thermo-magneto-elastic waves in a nonlinear plate," Izv. NAN Armenii. Mekhanika, Vol. 52, No. 1, pp. 25-29, 1999.
6.  W. Nowacki, Theory of Elasticity [Russian translation], Mir, Moscow, 1975.
7.  A. G. Bagdoev and S. G. Sahakyan, "The stability of non-linear modulation waves in plate in magnetic field for space averaged problems," Information Technologies and Management, No. 2, pp. 95-101, 1999.
8.  A. G. Bagdoev and A. A. Vantsyan, "Theoretical and experimental investigations of waves in plate in magnetic field for space-averaged problems," Int. J. of Solids and Structures, Vol. 39, pp. 251-259, 2002.
Received 29 September 2001
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