期刊
COMPUTATIONAL PARTICLE MECHANICS
卷 2, 期 2, 页码 109-125出版社
SPRINGER INT PUBL AG
DOI: 10.1007/s40571-015-0041-z
关键词
Rotations; Rotation vector; Rolling; Particles; Discrete element method
资金
- CNPq (Conselho Nacional de Desenvolvimento Cientifico e Tecnologico)
- FAPESP (Sao Paulo State Science Foundation) [303793/2012-0, 2014/19821-7]
- CMRL (Computational Materials Research Laboratory, University of California at Berkeley, USA)
In this work, we show how a vector parameterization of rotations can be adopted to describe the rotational motion of particles within the framework of the discrete element method (DEM). It is based on the use of a special rotation vector, called Rodrigues rotation vector, and accounts for finite rotations in a fully exact manner. The use of fictitious entities such as quaternions or complicated structures such as Euler angles is thereby circumvented. As an additional advantage, stick-slip friction models with inter-particle rolling motion are made possible in a consistent and elegant way. A few examples are provided to illustrate the applicability of the scheme. We believe that simple vector descriptions of rotations are very useful for DEM models of particle systems.
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