Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Elastic realizability of force and displacement systems in structures

Authors: W. R. Spillers and E. Lefcochilos
Journal: Quart. Appl. Math. 37 (1980), 411-420
MSC: Primary 73K99
DOI: https://doi.org/10.1090/qam/564732
MathSciNet review: 564732
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Abstract: This paper discusses the constraints imposed upon equilibrium and compatibility solutions in structures through the use of constitutive equations. It is shown, for example, that ``realizable'' force systems are bounded by statically determinate force systems for the case of trusses. The analysis used depends heavily upon the concept of ``basic solutions'' (statically determinate substructures) for linear systems which appears most commonly in the theory of linear programming.

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DOI: https://doi.org/10.1090/qam/564732
Article copyright: © Copyright 1980 American Mathematical Society

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