General theory of elastic stability
Author:
Carl E. Pearson
Journal:
Quart. Appl. Math. 14 (1956), 133-144
MSC:
Primary 73.2X
DOI:
https://doi.org/10.1090/qam/79414
MathSciNet review:
79414
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Abstract: Some general topics in elastic stability are discussed. In particular, attention is given to the relationship between adjacent-equilibrium-position and energy techniques, to the effects of non-linearity, and to the sensitivity of certain stability problems to the character of the loading.
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H. Poincaré, Acta Mathematica 7, 259 (1885)
G. H. Bryan, Camb. Phil. Soc. Proc. 6, 199, 287 (1886-89)
R. V. Southwell, Phil. Trans. Roy. Soc. 213, 187 (1913)
C. B. Biezeno and H. Hencky, Kon. Akad. von Wetensch. Amsterdam Proc. 31, 569 (1928); 32, 444 (1929)
E. Trefftz, Z.A.M.M. 13, 161 (1933); see also K. Kreutzer, Z.A.M.M. 12, 351 (1932)
M. Biot, Phil. Mag. (7) 27, 468 (1939)
H. Neuber, Z.A.M.M. 23, 321 (1943)
W. Prager, Quart. Appl. Math. 4, 378 (1947)
J. N. Goodier and H. J. Plass, Quart. Appl. Math. 9, 371 (1952)
J. N. Goodier, Quart. Appl. Math. 2, 93 (1944)
T. von Kármán and H. S. Tsien, J. Aeronaut. Sci. 7, 43 (1939)
F. D. Murnaghan, Finite deformations of an elastic solid, Wiley and Sons, N.Y., 1951
A. Pflüger, Stabilit "atsprobleme der Elastostatik, Springer, Berlin, 1950
H. Ziegler, Z.A.M.P. 4, 89, 167 (1953)
E. T. Whittaker, Analytical dynamics, University Press, Cambridge, 1937
H. S. Tsien, J. Aeronaut. Sci. 9, 373 (1942)
G. W. Stevens, Quart. J. Mech. and Appl. Math. 5, 221 (1952); see also A. P. Boresi, J. Appl. Mech. 22, 95 (1955)
H. Poincaré, Acta Mathematica 7, 259 (1885)
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Article copyright:
© Copyright 1956
American Mathematical Society