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research-article

REFERENCE CONDITIONS AND SUBSTRUCTURING TECHNIQUES IN FLEXIBLE MULTIBODY SYSTEM DYNAMICS

[+] Author and Article Information
James Oshea

Department of Mechanical Engineering, University of Illinois at Chicago, 842 West Taylor Street, Chicago, IL 60607
joshea2@uic.edu

Paramsothy Jayakumar

U.S. Army TARDEC, 6501 E. 11 Mile Road, Warren, MI 48397-5000
paramsothy.jayakumar.civ@mail.mil

Dave Mechergui

U.S. Army TARDEC, 6501 E. 11 Mile Road, Warren, MI 48397-5000
mechergui.d@yahoo.com

Ahmed A. Shabana

Department of Mechanical Engineering, University of Illinois at Chicago, 842 West Taylor Street, Chicago, IL 60607
shabana@uic.edu

Liang Wang

Department of Mechanical Engineering, University of Illinois at Chicago, 842 West Taylor Street, Chicago, IL 60607
lwang69@uic.edu

1Corresponding author.

ASME doi:10.1115/1.4039059 History: Received March 28, 2017; Revised December 21, 2017

Abstract

The floating frame of reference (FFR) formulation is widely used in the analysis of deformable bodies in multibody system (MBS) simulations. The modeling of deformable bodies requires the use of elastic degrees of freedom, which can increase the model size significantly. Therefore, modal reduction techniques have been proposed in order to define a proper set of assumed body deformation modes at a preprocessing stage. Crucial to the proper definition of these modes when the finite element (FE) FFR formulation is used is the understanding of the concept of the reference conditions, which define the nature of the deformable body coordinate system. Substructuring techniques, such as the Craig-Bampton method, on the other hand, have been proposed to allow for efficiently modeling assemblies and reducing model dimensionality. However, it is important to distinguish between substructuring techniques, which aim at obtaining efficient model assembly, and coordinate reduction and the reference conditions that define the problem to be solved. In this study, the appropriateness and generality of using the Craig-Bampton method in MBS implementation is discussed. It is shown that, when a set of reference conditions are not applied at a preprocessing stage, the Craig-Bampton transformation leads to the free-free modes of deformation as well as the natural frequencies associated with these modes.

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