Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



A note on some qualitative results for beams and rods

Author: W. R. Spillers
Journal: Quart. Appl. Math. 48 (1990), 575-580
MSC: Primary 73K05; Secondary 73H05
DOI: https://doi.org/10.1090/qam/1074973
MathSciNet review: MR1074973
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Abstract: The small parameter technique of perturbation theory is used to argue that torsional buckling effects are of the same order of magnitude as beam column effects in the analysis of three-dimensional frames. Applications to the computer analysis of nonlinear structures are discussed.

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

  • [1] M. A. Biot, Mechanics of Incremental Deformation, John Wiley and Sons, New York, 1965 MR 0185873
  • [2] A. E. Green, R. J. Knops, and N. Laws, Large deformations, superimposed small deformations, and stability of elastic rods, Internat. Solids and Structures 4, 555-577, (1968)
  • [3] S. Timoshenko, Theory of Elastic Stability, McGraw Hill, New York. 1936, p. 263 MR 0134026

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DOI: https://doi.org/10.1090/qam/1074973
Article copyright: © Copyright 1990 American Mathematical Society

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