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] Maurice A. Biot, Mechanics of incremental deformations. Theory of elasticity and viscoelasticity of initially stressed solids and fluids, including thermodynamic foundations and applications to finite strain, John Wiley & Sons, Inc., New York-London-Sydney, 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] Stephen P. Timoshenko, Theory of elastic stability, 2nd ed. In collaboration with James M. Gere. Engineering Societies Monographs, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1961. 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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