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FORCED OSCILLATIONS OF RECTANGULAR PLATES FROM DISSIPATIVE NONHOMOGENEOUS COMPOSITE MATERIALS

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MAQOLA ANNOTATSIYASI

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In this paper, we consider the problem of forced oscillations of a rectangular plate made of dissipative non-homogeneous composite materials. Based on the refined model of Academician Yu.N. Rabotnov, integral and integro-differential dependencies between stresses and strains with weakly singular hereditary cores and using the equations of motion of the plate, an integro-differential equation (IDE) was obtained, which is a mathematical model of this problem. Using the method of eliminating weakly singular features of integral and integrodifferential equations (IDE), proposed by Professor F.B. Badalov, a methodology and algorithm for numerically solving of a system of weakly singular IDE describing discrete models of a problem have been developed. Using the method of fundamental systems of solutions for solving the problem of an articulated rectangular plate, an exact solution of the IDE is obtained that satisfies the corresponding initial conditions.

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Teglar

# mathematical model# anisotropic materials# integro-differential equation (I# relaxation kernel# forced vibrations# bed coefficient# reactive pressure

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Maqola idintifikatorlari

Foydalanilgan adabiyotlar

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