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

DOI10.1002/nme.2210zbMath1159.70300OpenAlexW2031903516MaRDI QIDQ3623720

Benjamin K. Cook, John R. Williams, Scott M. Johnson

Publication date: 23 April 2009

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.2210

zbMATH Keywords

DEMrotationdynamicsnumerical methodsintegrationrigid bodymotion

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Free motion of a rigid body (70E15)

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On a virtual work consistent three-dimensional Reissner-Simo beam formulation using the quaternion algebra ⋮ A new Leapfrog scheme for rotational motion in 3D ⋮ SPIRAL: an efficient algorithm for the integration of the equation of rotational motion ⋮ The integration of angular velocity ⋮ Rigid clumps in the \textit{MercuryDPM} particle dynamics code ⋮ A matrix-free cone complementarity approach for solving large-scale, nonsmooth, rigid body dynamics ⋮ Integrating rotation from angular velocity ⋮ Particle-scale computational approaches to model dry and saturated granular flows of non-Brownian, non-cohesive, and non-spherical rigid bodies

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