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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v1.i23.60
18 pages

Body Reference Frames in Deformable Multibody Systems

Parviz E. Nikravesh
Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, Arizona, USA
Yi-shih Lin
Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, Arizona, USA

ABSTRACT

One interesting topic in multibody dynamics is how a reference frame is attached to a moving deformable body. Two known forms of reference axes are the nodal-fixed and the mean axes frames; the former is commonly used in structural finite element modeling, and the latter is known as a floating frame. In this article we introduce a new reference frame based on the principal axes that is also a form of floating frame. The equations of motion for a deformable body are derived first, and then the conditions for different types of reference axes are implemented. Next, the equations of motion for a rigid-deformable multibody system are constructed, where the deformation variables are kept in the nodal space. Through several simulation examples, some phenomena associated with each type of reference frame are discussed.


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