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.
- 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
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)
- Stephen P. Timoshenko, Theory of elastic stability, Engineering Societies Monographs, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1961. 2nd ed; In collaboration with James M. Gere. MR 0134026
M. A. Biot, Mechanics of Incremental Deformation, John Wiley and Sons, New York, 1965
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)
S. Timoshenko, Theory of Elastic Stability, McGraw Hill, New York. 1936, p. 263
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Article copyright:
© Copyright 1990
American Mathematical Society
