MATHEMATICAL MODELING

Dynamical simulation of rigid and flexible bodies system in EULER

V. G. Boykov^ab, A. A. Judakov<sup>ba

a</sup> JSC "AutoMechanics.Inc"
^b Lomonosov Moscow State University

Abstract: The article reveals main simulation concepts implemented in EULER, a software product for automated analysis of multi-component mechanical systems. Formal representation of a mechanical system and general principles of forming and solving motion equations are shown. Dynamical equations for the flexible bodies undergoing small deformations and moving as parts of a mechanical system are derived. Finite-element method, Craig-Bampton matrixes reduction method, and more general approach than the ones known from the literature are used to derive the equations.

Keywords: mechanical system, motion equations, constraints equations, flexible body, finite-element method, Craig-Bambton method.