Dynamical Analysis of Elastic Rod: Example of Using Free Software

Tomáš Mareš, Marek Štefan

Abstract


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.

Keywords


curvilinear elasticity, dynamics of elastic bodies, tensor calculus, priciple of least action, free software (GPL)

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ISSN 1801-1217 (Print)
ISSN 1805-9422 (Online)
Published by the Czech Technical University in Prague, Faculty of Mechanical Engineering