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Formulations of viscoelastic constitutive laws for beams in flexible multibody dynamics

 
: Bauchau, O.; Lao, Z.; Linn, J.

:

American Society of Mechanical Engineers -ASME-, Design Engineering Division; American Society of Mechanical Engineers -ASME-, Computers and Information in Engineering Division -CIE-:
ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2015. Proceedings. Vol.6: 11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control : Presented at ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference; August 2-5, 2015, Boston, Massachusetts, USA
New York/NY.: ASME, 2015
ISBN: 978-0-7918-5716-8
Paper DETC2015-47233, 10 pp.
International Design Engineering Technical Conferences (IDETC) <2015, Boston/Mass.>
Computers and Information in Engineering Conference (CIE) <2015, Boston/Mass.>
International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC) <11, 2015, Boston/Mass.>
English
Conference Paper
Fraunhofer ITWM ()
constitutive equations; multibody dynamics

Abstract
It is often necessary to consider material dissipation effects in structural dynamics analysis. A novel three-dimensional viscoelastic beam formulation is proposed. A systematic procedure is proposed to incorporate existing viscoelastic material models into beam theories. The generalized Maxwell model is used to demonstrate the procedure. Starting from a three-dimensional beam theory, classical material viscoelastic constitutive laws are used to develop viscoelastic beam models for flexible multibody dynamics. In contrast with classical beam theories, the proposed beam formulation captures three-dimensional stress and strains distributions based on a novel dimensional reduction method, and models dissipative phenomena at the same time. All cross-sectional deformation modes are considered i n the formulation. With the generalized Maxwell model, the formulation is valid for a broad range of frequencies. Because it is based on a three-dimensional formulation, the proposed approach uses a decomposition of the strain tensor into bulk and deviatoric components, thereby eliminating Poisson locking effects. This is particularly important because many highly dissipative materials are also nearly incompressible. Numerical examples are presented to illustrate these characteristics. Because the formulation developed is a beam model, it is computationally efficient and can be used for the simulation of flexible multibody dynamics systems.

: http://publica.fraunhofer.de/documents/N-428873.html