Improved quaternion-based integration scheme for rigid body motion

DOI10.1007/S00707-016-1670-XzbMath1380.70016OpenAlexW2461037677WikidataQ59462139 ScholiaQ59462139MaRDI QIDQ683571

J. A. M. Kuipers, L. J. H. Seelen, J. T. Padding

Publication date: 8 February 2018

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-016-1670-x

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Free motion of a rigid body (70E15) Numerical integration (65D30)

Related Items (4)

SPIRAL: an efficient algorithm for the integration of the equation of rotational motion ⋮ Numerical algorithm for quaternion integration based on three independent parameters with no need for re-normalization ⋮ Particle-scale computational approaches to model dry and saturated granular flows of non-Brownian, non-cohesive, and non-spherical rigid bodies ⋮ Optimal 3D arm strategies for maximizing twist rotation during somersault of a rigid-body model

Cites Work

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• A novel quaternion integration approach for describing the behaviour of non-spherical particles
• Molecular dynamics simulation using quaternions
• Conservative integration of rigid body motion by quaternion parameters with implicit constraints
• Rigid body dynamics in terms of quaternions: Hamiltonian formulation and conserving numerical integration
• Constrained integration of rigid body dynamics

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