Algebraic algorithms for the analysis of mechanical trusses
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- by I. Babuška and S. A. Sauter;
- Math. Comp. 73 (2004), 1601-1622
- DOI: https://doi.org/10.1090/S0025-5718-04-01645-X
- Published electronically: April 27, 2004
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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.References
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Bibliographic Information
- I. Babuška
- Affiliation: University of Texas at Austin, ICES, 1 University Station, C0200, Austin, Texas 78712-0027
- Email: babuska@ticam.utexas.edu
- S. A. Sauter
- Affiliation: University of Zurich, Institute of Mathematics, Winterhurestr. 190, CH 8057 Zurich, Switzerland
- MR Author ID: 313335
- Email: stas@math.unizh.ch
- Received by editor(s): September 4, 2002
- Received by editor(s) in revised form: March 19, 2003
- Published electronically: April 27, 2004
- © Copyright 2004 American Mathematical Society
- Journal: Math. Comp. 73 (2004), 1601-1622
- MSC (2000): Primary 65T50, 06B10, 35J55
- DOI: https://doi.org/10.1090/S0025-5718-04-01645-X
- MathSciNet review: 2059728