On the nonlinear dynamic buckling mechanism of autonomous dissipative/nondissipative discrete structural systems

Archive of Applied Mechanics

Volumn 66, Issue 6, 1996, Pages 395-408

  Kounadis, A N ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Autonomous; Dissipative; Dynamic buckling; Nonlinear

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DYNAMIC LOADS; EQUATIONS OF MOTION; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; NUMERICAL ANALYSIS; PHASE SPACE METHODS; SYSTEM STABILITY; TOPOLOGY;

DISCRETE STRUCTURAL SYSTEMS; IMPACT LOADING; NONLINEAR DYNAMIC BUCKLING; POTENTIAL ENERGY;

BUCKLING;

EID: 0030164920     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004190050078     Document Type: Article

References (12)

1. Kounadis, A. N.: Dynamic buckling single-mode analysis of autonomous dissipative structural systems. In: Kounadis, A. N.; Krätzig, W. B. (eds.) Proc. Semin. Nonlinear Stability of Structures, Udine Sept. 6-10, 1993, pp. 73-95. Berlin: Springer 1995
2. Budiansky, B.: Dynamic buckling of elastic structures, criteria and estimates. In: Herrmann, G. (ed.) Dynamic Stability of Structures, pp. 83-106. New York: Pergamon Press 1967
3. Kounadis, A. N.: Criteria and estimates in the nonlinear dynamic buckling of discrete systems under step loading. In: Germain, P. (ed.) XVII Int. Congress on Theor. and Appl. Mechanics, IUTAM, Grenoble, France, Aug. 21-27, 1988, Vol. A (abstracts), pp. 110-111
4. Kounadis, A. N.; Mallis, J.; Raftoyiannis, J.: Dynamic buckling estimates for discrete systems under step loading. ZAMM (1991) 391-402
5. Kounadis, A. N.: Nonlinear dynamic buckling of discrete dissipative or nondissipative systems under step loading. AIAA J. 29 (1991) 280-289
6. Kounadis, A. N.: Chaoslike phenomena in the nonlinear dynamic stability of discrete damped or undamped systems under step loading. Int. J. Nonlinear Mech. 26 (1991) 301-311
7. Kounadis, A. N.: Nonlinear dynamic buckling and stability of autonomous structural systems. Int. J. Mech. Sci. 35 (1993) 643-656
8. Britvec, S. J.: The stability of elastic systems. New York: Pergamon Unified Engineering Series 1973
9. Kounadis, A. N.: An efficient and simple approximate technique for solving nonlinear initial and boundary-value problems. Comput. Mech. 9 (1992) 221-231
10. Perko, L.: Differential equations and dynamical systems. Berlin: Springer 1991
11. Kounadis, A. N.: Nonlinear dynamic buckling of discrete structural systems under impact loading. Int. J. Solids Struct. 30 (1993) 2895-2809
12. Kounadis, A. N.: A qualitative analysis for the local and global dynamic buckling and stability of autonomous discrete systems. Q. J. Mech. Appl. Math. 47 (1994) 269-295