Stationary non-axisymmetric deformation of a three-layer viscoelastic cylindrical shell under normal loading
Аннотация
Circular cylindrical shells, as structural elements, have found wide application in various fields of mechanical engineering. The aim of this work is to study the action of a non-axisymmetric moving wave of normal pressure on a cylindrical shell interacting with an ideal compressible fluid. The problem of stationary non-axisymmetric deformation of a three-layer viscoelastic cylindrical shell under normal loading is considered. The relation between the stresses and strains satisfies the hereditary Boltzmann-Volterra relation. The response of an infinitely long three-layer cylindrical shell to the action of a non-axisymmetric normal load moving along the axis with a constant to resonant velocity is investigated in a refined formulation. The solution methods are based on the combined application of the Fourier integral transformation along the grid coordinate and the decomposition of all the given and unknown quantities into a Fourier series along the angular coordinate. An efficient algorithm for joint computation of integrals and Fourier series has been developed and implemented. For dissipative inhomogeneous mechanical systems the nonmonotonicity of the intensity of dissipation of energy of the mechanical system as a whole was found.