Elastic realizability of force and displacement systems in structures

Spillers, W. R.; Lefcochilos, E.

doi:10.1090/qam/564732

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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