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Finite element method in dynamics of flexible multibody systems: Modeling of holonomic constraints and energy conserving integration schemes. (English) Zbl 0972.74064
Summary: We discuss an application of the finite element method to the modeling of flexible multibody systems employing geometrically exact structural elements. Two different approaches to handle constraints, one based on the Lagrange multiplier procedure and another based on the use of release degrees of freedom, are examined in detail. The energy conserving time-stepping scheme, which is proved to be well suited for integrating stiff differential equations governing the motion of a single flexible link, is appropriately modified and extended to deal with the nonlinear dynamics of multibody systems.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74H15 Numerical approximation of solutions of dynamical problems in solid mechanics
74K99 Thin bodies, structures
70E55 Dynamics of multibody systems
70F20 Holonomic systems related to the dynamics of a system of particles
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