Necessary conditions for divergence in linear elastic systems
Author:
J. A. Walker
Journal:
Quart. Appl. Math. 32 (1974), 85-87
MSC:
Primary 73.35
DOI:
https://doi.org/10.1090/qam/475141
MathSciNet review:
475141
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Additional Information
- J. A. Walker, Energy-like Liapunov functionals for linear elastic systems on a Hilbert space, Quart. Appl. Math. 30 (1972/73), 465–480. MR 508715, DOI https://doi.org/10.1090/S0033-569X-1973-0508715-7
- H. Ziegler, Die Stabilitätskriterien der Elastomechanik, Ing.-Arch. 20 (1952), 49–56 (German). MR 47505
H. Ziegler, Principles of structural stability, Blaisdell, 1968
H. H. E. Leipholz, On the sufficiency of the energy criterion for the stability of certain nonconservative systems of the follower-load type, ASME J. Appl. Mech. 32, 717–722 (1972)
- Alf Pflüger, Stabilitätsprobleme der Elastostatik, Springer-Verlag, Berlin-New York, 1964 (German). Zweite neubearbeitete Auflage. MR 0178635
J. A. Walker, Liapunov analysis of the generalized Pflüger problem, ASME J. Appl. Mech. 39, 935–938 (1972)
A. M. Mochvan, The direct method of Liapunov in stability of elastic systems, Prik. Mat. Mech. 23 (1959), 483–493
J. A. Walker, Energy-like Liapunov functionals for linear elastic systems on a Hilbert space, Quart. Appl. Math. 30, 465–470 (1973)
H. Ziegler, Die Stabilitätskriterion der Elastomechanik, Ingenieur-Archiv 20, 49–56 (1952)
H. Ziegler, Principles of structural stability, Blaisdell, 1968
H. H. E. Leipholz, On the sufficiency of the energy criterion for the stability of certain nonconservative systems of the follower-load type, ASME J. Appl. Mech. 32, 717–722 (1972)
A. Pflüger, Stabilitätsprobleme der Elastostatik, Springer-Verlag, 1964
J. A. Walker, Liapunov analysis of the generalized Pflüger problem, ASME J. Appl. Mech. 39, 935–938 (1972)
A. M. Mochvan, The direct method of Liapunov in stability of elastic systems, Prik. Mat. Mech. 23 (1959), 483–493
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Article copyright:
© Copyright 1974
American Mathematical Society