To the Solution of Three-Dimensional Problems of Oscillations in the Theory of Elasticity in Thick Plates of Variable Thickness - Journal of Applied Mathematics and Physics

JAMP > Vol.5 No.10, October 2017

Journal of Applied Mathematics and Physics

Volume 5, Issue 10 (October 2017)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

To the Solution of Three-Dimensional Problems of Oscillations in the Theory of Elasticity in Thick Plates of Variable Thickness ()

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Download as PDF (Size: 250KB) PP. 2044-2050

DOI: 10.4236/jamp.2017.510170 735 Downloads 1,411 Views Citations

Author(s)

Мakhamatali К. Usarov

Affiliation(s)

Institute of Mechanics and Seismic Stability of Structures, the Academy of Sciences, Tashkent, Uzbekistan.

ABSTRACT

A technique for solving the three-dimensional problem of bending in the theory of elasticity in orthotropic plates of variable thickness is developed in the paper. On the basis of the method of expansion of displacements into an infinite series, the problem has been reduced to the solutions of two independent problems, which are described by two independent systems of two-dimensional infinite equations.

KEYWORDS

Plate, Orthotropy, Infinite Series, Equation of Motion, Boundary Conditions, Bending and Oscillations

Share and Cite:

Usarov, М. (2017) To the Solution of Three-Dimensional Problems of Oscillations in the Theory of Elasticity in Thick Plates of Variable Thickness. Journal of Applied Mathematics and Physics, 5, 2044-2050. doi: 10.4236/jamp.2017.510170.

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