Recapitulation of the basics of differential geometry of a curved material line, direct vector/tensor calculus, variational principles and analytical mechanics, as well as the theory of elasticity.
Theory of extensible and inextensible strings with simple examples. Asymptotic derivation of the equations of beam theory using the equations of the theory of elasticity.
Direct approach to geometrically linear theory of thin elastic rods in three dimensions with bending and torsion; example problems.
Oscillations of spatial rod structures with multiple segments and curvature.
Large deformation theory of thin elastic rods with demonstrations of solutions of boundary value problems using Wolfram Mathematica. Stability analysis.
It is recommended to complete the preceding courses beforehand (in particular Mechanics 3), as they provide the preliminary knowledge regarding: tensor algebra, Lagrangian mechanics, classical structural theories and methods of approximate solution of engineering problems.