Instability of symmetric structural systems with independent loading parameters
Author:
Koncay Huseyin
Journal:
Quart. Appl. Math. 28 (1971), 571-586
DOI:
https://doi.org/10.1090/qam/99769
MathSciNet review:
QAM99769
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Abstract: The general post-critical characteristics of a discrete structural system with independent loading parameters are studied. Attention is restricted to elastic conservative systems which satisfy certain analytical symmetry conditions and which lose their initial stability at a ’symmetric special’ critical point. The results are compared with Koiter’s ’stable symmetric’ and ’unstable symmetric’ bifurcation points, and three theorems are established.
- H. Poincaré, Sur l’équilibre d’une masse fluide animée d’un mouvement de rotation, Acta Math. 7 (1885), no. 1, 259–380 (French). MR 1554685, DOI https://doi.org/10.1007/BF02402204
W. T. Koiter, Over de Stabiliteit van het Elastiche Evenwicht, Thesis, Delft, 1945
- J. M. T. Thompson, Basic principles in the general theory of elastic stability, J. Mech. Phys. Solids 11 (1963), 13–20. MR 157533, DOI https://doi.org/10.1016/0022-5096%2863%2990003-6
K. Huseyin, Fundamental principles in the buckling of structures under combined loading, Int. J. Solids Struct. 6, 479–478 (1970)
K. Huseyin, The elastic stability of structural systems with independent loading parameters, Int. J. Solids Struct. 6, 677–691 (1970)
K. Huseyin, The convexity of the stability boundary of symmetric structural systems, Acta Mech. 8 205–212 (1969)
K. Huseyin, On the post-critical behaviour of structures under combined loading, Z. angew. Math. Mech. (in press)
J. M. T. Thompson, Discrete branching points in the general theory of elastic stability, J. Mech. Phys. Solids 13, 295 (1965)
A. Gjelsyick and S. R. Bodner, The energy criterion and snap-buckling of arches, A.S.C.E. Proc. J. Engrg. Mech. Division 88, no. 5 (1962)
J. Roorda, Instability of imperfect elastic structures, Ph.D. Thesis, University of London, 1965
H. Poincaré, Sur l’équilibre d’une masse fluide animée d’une mouvement de rotation, Acta Math. 7, 259 (1885)
W. T. Koiter, Over de Stabiliteit van het Elastiche Evenwicht, Thesis, Delft, 1945
J. M. T. Thompson, Basic principles in the general theory of elastic stability, J. Mech. Phys. Solids 13, 13–20 (1963)
K. Huseyin, Fundamental principles in the buckling of structures under combined loading, Int. J. Solids Struct. 6, 479–478 (1970)
K. Huseyin, The elastic stability of structural systems with independent loading parameters, Int. J. Solids Struct. 6, 677–691 (1970)
K. Huseyin, The convexity of the stability boundary of symmetric structural systems, Acta Mech. 8 205–212 (1969)
K. Huseyin, On the post-critical behaviour of structures under combined loading, Z. angew. Math. Mech. (in press)
J. M. T. Thompson, Discrete branching points in the general theory of elastic stability, J. Mech. Phys. Solids 13, 295 (1965)
A. Gjelsyick and S. R. Bodner, The energy criterion and snap-buckling of arches, A.S.C.E. Proc. J. Engrg. Mech. Division 88, no. 5 (1962)
J. Roorda, Instability of imperfect elastic structures, Ph.D. Thesis, University of London, 1965
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Article copyright:
© Copyright 1971
American Mathematical Society
