Quaternion-based rigid body rotation integration algorithms for use in particle methods

The resolution of translational motion in discrete element method and molecular dynamics applications is a straightforward task; however, resolving rotational motion is less obvious. Many applications update rotation using an explicit integration involving products of matrices, which has well‐known...

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Bibliographic Details
Published in:	International journal for numerical methods in engineering Vol. 74; no. 8; pp. 1303 - 1313
Main Authors:	Johnson, Scott M., Williams, John R., Cook, Benjamin K.
Format:	Journal Article
Language:	English
Published:	Chichester, UK John Wiley & Sons, Ltd 21.05.2008 Wiley
Subjects:	Computational techniques DEM dynamics Exact sciences and technology Fundamental areas of phenomenology (including applications) integration Mathematical methods in physics motion numerical methods Physics rigid body rotation Solid dynamics (ballistics, collision, multibody system, stabilization...) Solid mechanics Rigid bodies numerical methods Numerical integration motion Quaternion Molecular dynamics method rotation Solid dynamic Step method Taylor series Discrete element method Orthogonality Modeling DEM Rotating system Particle method dynamics rigid body Meshless method Series expansion integration Rotation angle
ISSN:	0029-5981, 1097-0207
Online Access:	Get full text
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