Dynamics of Thin-Walled Structures
The course includes the nonlinear dynamic theory of spatially curved and naturally twisted thermoviscoelastic rods and the linear dynamic theory of thermoelastic shells. These theories take into account the rotational inertia and all the basic types of deformation: bending, twisting, stretching, transverse shear. The theory of rods includes all the known versions of rod theory, but it has a wider range of applicability. Theory of shells includes the most general shell theory of 12th order, which is useful when describing the nanosized scale level objects, the shell theory of 10th order, designed for engineering applications in the case of sufficiently thick shells, as well as the Kirchhoff-Love shell theory.