Dynamically equivalent implicit algorithms for the integration of rigid body rotations

Two midpoint‐trapezoid pairs of dynamically equivalent (conjugate) algorithms are derived as compositions of first‐order forward Euler and backward Euler integrators as applied to an incremental form of the initial‐value problem of three‐dimensional rigid body rotation. The algorithms are related to...

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Bibliographic Details
Published in:	Communications in numerical methods in engineering Vol. 24; no. 2; pp. 141 - 156
Main Author:	Krysl, P.
Format:	Journal Article
Language:	English
Published:	Chichester, UK John Wiley & Sons, Ltd 01.02.2008 Wiley
Subjects:	angular momentum conservation composition of maps Computational techniques dynamic equivalence Exact sciences and technology Fundamental areas of phenomenology (including applications) Mathematical methods in physics midpoint rule Munthe-Kaas Runge-Kutta methods Physics rigid body dynamics Solid dynamics (ballistics, collision, multibody system, stabilization...) Solid mechanics symplectic time integration trapezoidal rule Rigid bodies Munthe- Kaas Runge-Kutta methods Numerical integration Initial value problem Three body system Solid dynamic angular momentum conservation midpoint rule Runge Kutta method Long term Modeling Conservation law Time domain method symplectic trapezoidal rule Angular momentum Trapezoidal method Integrator dynamic equivalence Time integration rigid body dynamics composition of maps
ISSN:	1069-8299, 1099-0887
Online Access:	Get full text
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