The problem of calculating the dynamic stress-strain state of viscoelastic rectangular isotropic plates on a deformed base, including freely lying on the ground medium under the influence of vibration loads, is solved. Several models of the dynamic reaction of the base are considered and a qualitative comparison of the results is carried out. In the calculations, the Gauss method, the Mueller method and the smallest residuals were used.

In this article, an exact mathematical model for the deformation of a viscoelastic (or polymer) conical shell and algorithms for its study is developed. Nonlinear mathematical models for the deformation of ribbed conical shells under dynamic loaded are obtained. A study of the stress-strain state and stability of viscoelastic panels of conical shells and truncated closed and revealed some characteristic features.

ISRA (India) = 4.971 ISI (Dubai, UAE) = 0.829 GIF (Australia) = 0.564 JIF = 1.500 SIS (USA) = 0.912 РИНЦ (Russia) = 0.126 ESJI (KZ) = 8.716 SJIF (Morocco) = 5.667 ICV (Poland) = 6.630 PIF (India) = 1.940 IBI (India) = 4.260 OAJI (USA) = 0.350 Philadelphia, USA 425

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