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Research Papers

New and Extended Applications of the Divide-and-Conquer Algorithm for Multibody Dynamics

[+] Author and Article Information
Jeremy J. Laflin

Computational Dynamics Laboratory,
Department of Mechanical, Aerospace, and
Nuclear Engineering,
Rensselaer Polytechnic Institute,
Troy, NY 12180
e-mail: laflij@rpi.edu

Kurt S. Anderson

Professor
Department of Mechanical, Aerospace, and
Nuclear Engineering,
Rensselaer Polytechnic Institute,
Troy, NY 12180
e-mail: anderk5@rpi.edu

Imad M. Khan

Computational Dynamics Laboratory,
Department of Mechanical, Aerospace, and
Nuclear Engineering,
Rensselaer Polytechnic Institute,
Troy, NY 12180
e-mail: imadmkhan@outlook.com

Mohammad Poursina

Assistant Professor
Department of Aerospace and
Mechanical Engineering,
University of Arizona,
Tucson, AZ 85721
e-mail: mpoursina@gmail.com

1Corresponding author.

Manuscript received February 11, 2014; final manuscript received June 16, 2014; published online July 11, 2014. Assoc. Editor: Javier Cuadrado.

J. Comput. Nonlinear Dynam 9(4), 041004 (Jul 11, 2014) (8 pages) Paper No: CND-14-1043; doi: 10.1115/1.4027869 History: Received February 11, 2014; Accepted June 16, 2014; Revised June 16, 2014

This work presents a survey of the current and ongoing research by the authors who use the divide-and-conquer algorithm (DCA) to reduce the computational burden associated with various aspects of multibody dynamics. This work provides a brief discussion of various topics that are extensions of previous DCA-based algorithms or novel uses of this algorithm in the multibody dynamics context. These topics include constraint error stabilization, spline-based modeling of flexible bodies, model fidelity transitions for flexible-body systems, and large deformations of flexible bodies. It is assumed that the reader is familiar with the “Advances in the Application of the DCA to Multibody System Dynamics” text as the notation used in this work is explained therein and provides a summary of how the DCA has been used previously.

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Figures

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Fig. 1

Illustration of the constraint stabilization control loop

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Fig. 2

Illustration of the four-bar mechanism

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Fig. 3

Plot of L2 norm of constraint violation error

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Fig. 5

Results of dynamic simulation of floppy beam

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Fig. 6

Multiresolution multibody model of a growth-blocking peptide

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Fig. 7

Two charged bodies separated by Rq

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Fig. 9

Error at various combination of θ and R/L

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