Effect of boundary conditions on localized instability of the semi-infinite orthotropic plate

Sharifian, Reza; Belubekyan, Vagharshak

doi:10.22061/jcarme.2011.8

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	Effect of boundary conditions on localized instability of the semi-infinite orthotropic plate
Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
مقاله 7، دوره 1، شماره 1، مهر 2011، صفحه 59-68 اصل مقاله (109.69 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22061/jcarme.2011.8
نویسندگان
Reza Sharifian^* ¹؛ Vagharshak Belubekyan²
¹Department of Mechanical Engineering, Hadid Arak Training Center of Applied Science and Technology affiliated with the University of Applied Science and Technology, Arak, Iran
²Department of Mechanics, Yerevan State University, Yerevan, Armenia
تاریخ دریافت: 12 تیر 1390، تاریخ بازنگری: 29 مرداد 1390، تاریخ پذیرش: 07 شهریور 1390
چکیده
This paper is concerned with an investigation into the localized instability of a thin elastic orthotropic semi-infinite plate. In this study, a semi-infinite plate, simply supported on two edges and under different boundary conditions of clamped, hinged, sliding contact and free on the other edge, is studied. A mathematical model is used and a general solution is presented. The conditions under which localized solutions exist are investigated.
کلیدواژه‌ها
Boundary conditions؛ Instability؛ Orthotropic plate

مراجع
[1] Yu. K. Konenkov, “A Rayleigh-type flexural wave”, Sov. Phys. Acoust. Vol. 6, pp 122–123, (1960). [2] S. A. Ambartsumian and 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, Vol. 56, No. 4, pp 66-68 (2003). [4] M. V. Belubekyan “Problems of localized instability of plates”. Proc. Optimal control, YSU conf., stability and robustness of mechanical system, Yerevan, pp 95-99, (1997). [5] M. V. Belunekyan and E. O. Chil-Akobyan “Problems of localized instability of plates with a free edge”.Proc. NAS conf., Mechanics, Yerevan,, Vol. 57, No. 2, pp 34-39, (2004). [6] V. M. Belubekyan “On the problem of stability of plate under account of transverse shears” . Proc. Rus. Sc. Academy, MTT conf., No. 2, pp 126-131, (2004). [7] N. V. Banichuk and A. A. Barsuk “Localization of Eigen forms and limit transitions in problems of stability of rectangular plates” J. Appl. Math. Mech. Vol. 72, No 2, pp 302-307, (2008). [8] S. G. Lekhnitskii “Anisotropic Plates”, Gorden and Breach, New York, USA, (1968). [9] S. A. Ambartsumian “The theory of Anisotropic Plates”, Nauka, Moscow, Russia, (1987).
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Effect of boundary conditions on localized instability of the semi-infinite orthotropic plate