文章基本信息

标题：Lie Group Integrators for the Numerical Solution of Dae's in Flexible Multibody Dynamics
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作者：Alberto Cardona ; Olivier Brüls ; Martin Arnold 等
期刊名称：Mecánica Computacional
印刷版ISSN：2591-3522
出版年度：2010
卷号：XXIX
期号：1
出版社：CIMEC-INTEC-CONICET-UNL
摘要：The absolute coordinate method is widely used for the integrated modeling of complex flexible multibody systems including rigid bodies, nonlinear force elements as well as flexible components. In the approach proposed in [2,5], each large rotation variable is represented by three rotation parameters, which are used for the formulation of the equations of motion. This paper considers as alternative an adaptation of Lie group time integrators [4, 7, 8] in order to provide a more natural answer to the rotation parameterization problem. Lie group time integrators do not require a priori the definition of local generalized coordinates, in other words, it includes in its algorithmic structure an intrinsic and consistent strategy for the parameterization of the configuration manifold. The motion of a flexible multibody system is described using nodal translation and rotation variables so that the system evolves on the Lie group defined by a multiple cartesian product of R