Response of a cylindrical shell with a solid viscoelastic filler to a non-axisymmetric moving load

<jats:p>This paper examines the response of a cylindrical shell with a solid viscoelastic core to a non-axisymmetric moving load. We formulate the problem of determining the stationary stress-strain state of a shell with a solid multilayer viscoelastic core when a non-axisymmetric normal load moves along an infinitely long cylindrical shell filled with a continuous viscoelastic inertial core. The equation of motion of the shell is described by shell equations subject to the Kirchhoff–Love hypotheses, while the motion of the core is described by the dynamic equations of the theory of elasticity. Sliding-contact conditions are satisfied at the interface between the shell and the core. The problem is solved in a moving coordinate system using the Fourier transform and the introduction of potential functions, which in the transform space are represented as Fourier series. The solution is obtained in terms of special Bessel and Neumann functions of a complex argument. Numerical results were obtained using the MATLAB software environment. On the basis of the numerical results obtained, it is established that, moving away from the point of load application along the length of the shell, the distribution pattern changes substantially, especially for the stresses. Separation of the shell from the core can occur not only around the circumference but also along the length, and the variation of the core stiffness within the range considered here has little effect on the length of the contact zone.</jats:p>