Basics of the vector/tensor calculus in oblique basis.
Differential geometry of a surface. Asymptotic derivation of the equations of the theory of bending of plates using the equations of the theory of elasticity.
Methods for exact and approximate solving of simple static and dynamic (oscillations) problems of deformation of plates with various geometries and boundary conditions; example problems.
Small deformation theory of curved shells; investigation of simple cases.
Properties of solutions: membrane state and boundary layers with bending moments.
Derivation of the theory of thin-walled rods of open profile using shell equations.
Large deformation and stability analysis of curved shells. Example analytical and approximate solutions.
It is recommended to complete the preceding courses beforehand (in particular Structural mechanics of rods), as they provide the preliminary knowledge regarding: tensor algebra, Lagrangian mechanics, classical structural theories and methods of approximate solution of engineering problems.