Algebraic algorithms for the analysis of mechanical trusses

Babuška, I.; Sauter, S.

doi:10.1090/S0025-5718-04-01645-X

Algebraic algorithms for the analysis of mechanical trusses
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by I. Babuška and S. A. Sauter PDF

Math. Comp. 73 (2004), 1601-1622 Request permission

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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