Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30184
Localized Non-Stability of the Semi-Infinite Elastic Orthotropic Plate

Authors: Reza Sharifian, Vagharshak Belubekyan

Abstract:

This paper is concerned with an investigation into the localized non-stability of a thin elastic orthotropic semi-infinite plate. In this study, a semi-infinite plate, simply supported on two edges and different boundary conditions, clamped, hinged, sliding contact and free on the other edge, are considered. The mathematical model is used and a general solution is presented the conditions under which localized solutions exist are investigated.

Keywords: Localized, Non-stability, Orthotropic, Semi-infinite

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1078418

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 841

References:


[1] Yu. K. Konenkov, "A Rayleigh-type flexural wave," Sov. Phys. Acoust. Vol.6, pp.122-123, 1960.
[2] S.A. Ambartsumian, M.V. Belubekyan, "On bending waves localized along the edge of a plate," International Applied Mechanics. vol.30, pp.135-140, 1994
[3] H.P. Mkrtchyan, "localized bending waves in an elastic orthotropic plate," in Proc. HAH conf. Mechanics, Armenia, 2003, vol.56, No. 4, p66-68.
[4] M.V. Belubekyan, "Problems of localized instability of plates," in Proc. Optimal control, YSU conf., stability and robustness of mechanical system, Yerevan, 1997 pp. 95-99.
[5] M.V. Belunekyan, E.O. Chil-Akobyan "Problems of localized instability of plates with a free edge," in Proc. NAS conf., Mechanics, Yerevan, 2004, vol. 57, No 2, pp.34-39.
[6] V.M. Belubekyan, "On the problem of stability of plate under account of transverse shears," in Proc. Rus. Sc. Academy, MTT conf., 2004, No. 2, pp.126-131.
[7] N.V. Banichuk, A.A. Barsuk, "Localization of Eigen forms and limit transitions in problems of stability of rectangular plates," J. Appl. Math. Mech. 2008, vol. 72, No 2, pp.302-307.
[8] S. G. Lekhnitskii, Anisotropic Plates. Gorden and Breach, New York, 1968.
[9] S. A. Ambartsumian, The theory of Anisotropic Plates. M. Nauka, 1987, pp360.