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.

References [Enhancements On Off] (What's this?)

  • [1] William R. Spillers, Iterative structural design, North Holland Publishing Co., Amsterdam, 1975 MR 0421265
  • [2] David Gale, The theory of linear economic models, McGraw-Hill, New York, 1960 MR 0115801
  • [3] William R. Spillers and E. Lefcochilos, Realizability of force and displacement systems, Proc. ASCE ST8, 1193-1202 (1978)
  • [4] William R. Spillers, Automated structural analysis: an introduction, Pergamon Press, New York, 1972
  • [5] Michel Simonnard, Linear programming, Prentice Hall, Englewood Cliffs, N. J., 1966 MR 0201195
  • [6] J. Paul Roth, Algebraic topogical methods for the synthesis of switching systems, Trans. American Mathematical Society 88, 301-326 (1958) MR 0097285

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

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