ON FREE VIBRATION OF A NONHOMOGENEOUS ORTHOTROPIC RECTANGULAR PLATE ON A NONHOMOGENEOUS VISCO-ELASTIC FOUNDATION

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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

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, АZ1143

GULNAR 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, АZ1143

AZIZ INTIZAR SHIRIEV

Institute Mathematics and Mechanics of NASA, Baku, Azerbaijan

Email: vagif.haciyev.imm@gmail.com
9, г. Баку, Азербайджан, АZ1143

References

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  4. 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.
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  6. 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.)
  7. Bajenov V.A. (1975). The benching of the Cylindrical Shells in Elastic Medium. Kiev, Visha shkola, 168 p. (in Russian).
  8. Rzhanitsyn, A.R. (1982). Structural Mechanics [Stroitel’naya Mehanika]. Moscow. 399 (in Russian).
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Copyright (c) 2017 HACIYEV V.O., MIRZAYEVA G.R., SHIRIEV A.I.

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