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Algebraic algorithms for the analysis of mechanical trusses

Authors: I. Babuška and S. A. Sauter
Journal: Math. Comp. 73 (2004), 1601-1622
MSC (2000): Primary 65T50, 06B10, 35J55
Published electronically: April 27, 2004
MathSciNet review: 2059728
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Abstract: Infinite periodic lattices can be used as models for analyzing and understanding various properties of mechanical truss constructions with periodic structures. For infinite lattices, the problems of connectivity and stability are nontrivial from the mathematical point of view and have not been addressed adequately in the literature. In this paper, we will present a set of algebraic algorithms, which are based on ideal theory, to solve such problems. For the understanding of the notion “complicated three-dimensional lattices”, it is essential to have this paper with colored figures.

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Additional Information

I. Babuška
Affiliation: University of Texas at Austin, ICES, 1 University Station, C0200, Austin, Texas 78712-0027

S. A. Sauter
Affiliation: University of Zurich, Institute of Mathematics, Winterhurestr. 190, CH 8057 Zurich, Switzerland
MR Author ID: 313335

Received by editor(s): September 4, 2002
Received by editor(s) in revised form: March 19, 2003
Published electronically: April 27, 2004
Article copyright: © Copyright 2004 American Mathematical Society