Abstract

The response of a thin infinite viscoelastic plate to the transverse non-stationary loading is investigated and the analytical and the numerical solutions of the problem are presented. The analytical solution implies from the theory of thin plates and the so-called Timoshenko–Mindlin correction is used to achieve better compliance with 3D theory of continuum. The resulting relations for deflection, deflection angle and stress components are derived. Then the FE simulation of the problem is performed. Finally, both solutions are compared and their compliance proves the correctness of both the analytical solution and the numerical results.

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