Non-linear dynamic buckling of a simple model via the Liapunov direct method

Journal of Sound and Vibration

Volumn 193, Issue 5, 1996, Pages 1091-1097

  Kounadis, A N ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); DYNAMIC LOADS; DYNAMIC RESPONSE; LOAD TESTING; LYAPUNOV METHODS; MODELS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; SENSITIVITY ANALYSIS;

GLOBAL STABILITY; LIAPUNOV DIRECT METHOD; NONLINEAR DYNAMIC BUCKLING; NONLINEAR EQUILIBRIUM PATH; ONE DEGREE OF FREEDOM DISSIPATIVE NONDISSIPATIVE MODEL;

BUCKLING;

EID: 0030168234     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0334     Document Type: Article

References (9)

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2. A. N. KOUNADIS 1994 Quarterly Journal Mechanics and Applied Mathematics 47(2), 269-295. A quantitative analysis for the local and global dynamic buckling and stability of autonomous discrete systems.
3. A. N. KOUNADIS and J. RAFTOYIANNIS 1990 American Institute of Aeronautics and Astronautics Journal 28(7), 1217-1223. Dynamic stability criteria of nonlinear elastic damped/undamped systems under step loading.
4. N. G. CHETAYEV 1961 The Stability of Motion. New York: Pergamon Press.
5. Q. HAHN 1967 Stability of Motion. New York: Springer-Verlag.
6. F. BRAWER and J. A. NOHEL 1989 The Qualitative Theory of Ordinary Differential Equations, an Introduciton. New York: Dover. See p. 224.
7. J. P. LASALLE 1967 in Dynamic Stability of Structures (G. Herrmann editor). Oxford: Pergamon Press. Stability theory and asymptotic behavior of dynamical systems.
8. A. A. MOVCHAN 1959 PMM 23(3), 483-493. The direct method of Liapunov in stability problems of elastic systems.
9. P. C. PARKS 1965 Proceedings of the American Institute of Aeronautics and Astronautics/AIAA Meeting, Cambridge, Massachusetts, 92-95. A stability criterion for a panel flutter problem via second method of Liapunov.