Dynamical Analysis of Elastic Rod Chain

Marek Štefan, Tomáš Mareš

Abstract


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

Keywords


curvilinear elasticity, elastic multibody systems, tensor calculus, priciple of least action

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