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Abstract

In this paper a new finite element formulation for slender beams is suggested that is valid for large rotations and deflections. Traditional formulations such as the floating frame approach and the incremental method are limited to small deflections, which restricts the scope of their applicability to small accelerations. In the local frame formulation no simplifying assumptions are made in accounting for the inertia forces. As the formalism remains consistent with large deflections it can be used for accurate evaluation of deformations caused by inertia forces at large accelerations. The paper is concerned with multibeam plane motions. The new formulation is implemented as a computer algebra tool that generates dynamic equations of flexible multibody systems from specifications. A number of case studies related to high-speed machinery are presented.

Keywords

finite element formulation for plane beams multibody system dynamics

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Dynamic modelling of flexible structures using a local frame formulation

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