Flexible Multibody Systems with Large Deformations and Nonlinear Structural Damping Using Absolute Nodal Coordinates

Author： Kübler Lars Eberhard Peter Geisler Johannes

ISSN： 0924-090X

Source： Nonlinear Dynamics, Vol.34, Iss.1-2, 2003-10, pp. : 31-52

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Abstract

A formulation for flexible Multibody Systems (MBS) is proposed where flexible bodies are described using absolute coordinates for isoparametric hexagonal elements under consideration of nonlinear structural damping. The use of absolute coordinates together with a nonlinear finite-element formulation allows for large deformations and provides an accurate description of rigid body motion and inertia in the case of large rotations without additional considerations. 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 using beam, plate, or shell elements. Since only nodal translational degrees of freedom are used for hexagonal elements, additional questions arise. For example, imposing joint constraints for relative rotations between two bodies requires a 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.