A reduction procedure for joint models that was developed in earlier work is extended to allow for relative motion between surfaces, and the effect of this procedure on timestep issues is considered. A general one-dimensional structure containing a frictional interface is considered. Coulomb friction is approximated with nonlinear springs of large but finite stiffness. The system of equations describing this structure is reduced in a procedure similar to Guyan reduction by assuming that the system deforms only in the shapes that it takes when the interface is massless. The result of this procedure is that the dynamics associated with the interface region are removed from the analysis. Following the development of the reduction procedure, the reduced formulation is specialized to the case of a simple lap joint. A numerical example problem is considered in which both the full and reduced equations of motion are integrated over time. It is seen that, for the example problem considered, the reduction procedure results in tremendous computational savings with little loss of accuracy. Based on the results of the simple example problem, it appears that the proposed reduction procedure has potential to be an accurate and effective method of alleviating the timestep difficulties associated with direct finite element analysis of joints in structural dynamics applications.
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June 2011
Research Papers
A Reduction Procedure for One-Dimensional Joint Models and Application to a Lap Joint
Michael A. Guthrie,
Michael A. Guthrie
Department of Engineering Physics,
University of Wisconsin
, Madison, WI 53706
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Daniel C. Kammer
Daniel C. Kammer
Department of Engineering Physics,
e-mail: kammer@engr.wisc.edu
University of Wisconsin
, Madison, WI 53706
Search for other works by this author on:
Michael A. Guthrie
Department of Engineering Physics,
University of Wisconsin
, Madison, WI 53706
Daniel C. Kammer
Department of Engineering Physics,
University of Wisconsin
, Madison, WI 53706e-mail: kammer@engr.wisc.edu
J. Vib. Acoust. Jun 2011, 133(3): 031002 (10 pages)
Published Online: March 24, 2011
Article history
Received:
February 14, 2008
Revised:
September 28, 2010
Online:
March 24, 2011
Published:
March 24, 2011
Citation
Guthrie, M. A., and Kammer, D. C. (March 24, 2011). "A Reduction Procedure for One-Dimensional Joint Models and Application to a Lap Joint." ASME. J. Vib. Acoust. June 2011; 133(3): 031002. https://doi.org/10.1115/1.4003402
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