Email this article 
ON FREE VIBRATION OF A NONHOMOGENEOUS ORTHOTROPIC RECTANGULAR PLATE ON A NONHOMOGENEOUS VISCO-ELASTIC FOUNDATION
- Authors: HACIYEV V.O.1, MIRZAYEVA G.R.1, SHIRIEV A.I.1
-
Affiliations:
- Institute Mathematics and Mechanics of NASA, Baku, Azerbaijan
- Issue: No 5 (2017)
- Pages: 27-33
- Section: Articles
- URL: https://journals.rudn.ru/structural-mechanics/article/view/16915
- DOI: https://doi.org/10.22363/1815-5235-2017-5-27-33
Cite item
Full Text
Abstract
In the paper, by using approximate analytic methods, the study a problem of vibrations of a nonhomogeneous rectilinear plate and a visco - elastic foundation, the boundary conditions are homogeneous. It is assumed that the modules of elasticity and density of the plate are characteristic functions of three space coordinates, the Poisson ratios are accepted to be constant [1]. The numerical calculation is carried out under specific values of characteristic functions, characterizing the properties of the plate and foundation, and the results are represented in the form of tables and dependence graphs
Keywords
About the authors
VAGIF OGLY HACIYEV
Institute Mathematics and Mechanics of NASA, Baku, Azerbaijan
Author for correspondence.
Email: vagif.haciyev.imm@gmail.com
Doctor of Physical and Mathematical Sciences, Professor, Head of the Department, Department of Theory of Elasticity and Plasticity
9, г. Баку, Азербайджан, АZ1143GULNAR ROVSHAN MIRZAYEVA
Institute Mathematics and Mechanics of NASA, Baku, Azerbaijan
Email: vagif.haciyev.imm@gmail.com
PhD of mechanic, Senior Researcher
9, г. Баку, Азербайджан, АZ1143AZIZ INTIZAR SHIRIEV
Institute Mathematics and Mechanics of NASA, Baku, Azerbaijan
Email: vagif.haciyev.imm@gmail.com
9, г. Баку, Азербайджан, АZ1143
References
- Lomakin, V.A. (1977). Theory of Elasticity of Inhomogeneous Bodies. Moscow: MSU. 376 (in Russian).
- Kravchuk, A.S., Mayboroda,, V.P., Urjumtzev, Yu.S. (1985). Mechanics of Polymer and Compo-site Materials. Moscow: MSU. 303 (in Russian).
- Kolchin, A.S., Favarion, E.A. (1977). Theory of Elasticity of Inhomogeneous Bodies. Chisinau. 146 (in Russian).
- Gadjiev, V.C., Agamalyev, N.C., Mirzoeva, B.D. (2009). Stability of continuously nonhomoge-neous orthotropic rectangular plate under in plane compressions. International Simposium on Engi-neering and Architectural Sciences of Balkan, Caucasus and Turk Republics, 2009, Turkey. 74—78.
- Carnet, H., Lielly, A. (1969). Free vibrations of reinforced elastic shells. Journal of Applied Me-chanics, vol. 36, № 4, pp. 835-844, doi: 101115/ 1.3564.779.
- Sofiyev, A.H., Schack, E., Haciyev, V.C., Kurdoglu, N. Effect of the two-parameter elastic foundation on the critical parameters of nonhomogeneous orthotropic shells. International Journal of Structural Stability and Dynamics, Vol.12, №5 (2012), 1250041 (24 p.)
- Bajenov V.A. (1975). The benching of the Cylindrical Shells in Elastic Medium. Kiev, Visha shkola, 168 p. (in Russian).
- Rzhanitsyn, A.R. (1982). Structural Mechanics [Stroitel’naya Mehanika]. Moscow. 399 (in Russian).
- Lekhnitsky, S.G. (1977). The Theory of Anisotropic Plates [Teoriya Anizotropnyh Plastin]. Moscow, 445 p. (in Russian).
- Svirskiy I.V. (1966). Methods of Bubnov - Galerkin Type and Successive Approximations. Moscow: Nauka, 199 p. (in Russian).
