Dynamical Analysis of Elastic Rod: Example of Using Free Software

We present an original method for semi-analytical solution of elastic body dynamics. Towards this end, we use the principle of least action, tensor calculus, curvilinear elasticity, and Fourier series expansion. Our method is applicable not only for the straight rods but also to curved rods on curved surfaces, and, utilizing the Lagrange's multiplier method, also for elastic multibody systems.