Engineering Transactions, 45, 3-4, pp. 463-470, 1997

Approximate Solutions of Dynamic Problems for Rectangular Composite Plates

V. Pakosh
Pidstryhach Institute For Applied Problems Of Mechanics And Mathematics, Nasu, Lviv
Ukraine

M. Marchuk
Pidstryhach Institute For Applied Problems Of Mechanics And Mathematics, Nasu, Lviv
Ukraine

We study the problem of dynamic deformation of rectangular composite plates with the same type of boundary conditions along each side. Generalized theory of plates taking into account the compliance to transversal shear strains is used. The building method of an approximate analytical solution is proposed. We have obtained the numerical result for the case of the impact load acting on the rigidly fixed plate.

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References

S.P. TIMOSHENKO, Vibrations in engineering [in Russian], Nauka, Moscow 1967, p. 444.

B.L. PELEKH and M.V. MARCHUK, The finite element method of solving the boundary value problems for anisotropic plates made of composite materials [in Russian], Mechanics of Composite Materials, No 1, 1983.

G.I. MARCHUK, The methods of computational mathematics, Nauka, Moscow 1977, p. 456.