Abstract
The bending of a viscoelastic toroidal shell with diffuse boundary conditions is considered in this work. The relationship between stress and strain is described by the Aviary equations. Based on the principle of calculus of variations, equations of the dynamics of the toroidal shell are obtained. It is assumed that the movement along the normal to the median surface, along the tangents to circular sections and along the shell is not previously imposed any restrictions. As result of the calculation, It was found that shell vibrations occur at higher frequencies than rod vibrations (m)
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