Abstract
A formulation for flexible Multibody Systems (MBS) is proposed where flexible bodies are described using absolute coordinates forisoparametric hexagonal elements under consideration of nonlinearstructural damping.The use of absolute coordinates together with a nonlinear finite-element formulation allows for large deformations andprovides an accurate description of rigid bodymotion and inertia in the case of large rotations without additionalconsiderations. Further, constant mass matrices are obtained for isoparametric elements. Hexagonal elements are important, e.g., if general solid bodies with low stiffness, i.e.not negligible large deformations, are part of the MBS and cannot be modeled usingbeam, plate, or shell elements. Since only nodal translational degrees of freedom are used for hexagonal elements,additional questions arise. For example, imposing jointconstraints for relative rotations between two bodies requiresa nodal reference frame at connection points. Flexible bodies underlie structural damping. An approach is proposed in order to consider such damping using a viscous extension for hyper-elastic materials of neo-Hooke type.
Published Version
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