Non-potential dissipative systems exhibiting periodic attractors in regions of divergence

Chaos, Solitons and Fractals

Volumn 8, Issue 4 SPEC. ISS., 1997, Pages 583-612

  Kounadis, Anthony N ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001600612     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0960-0779(96)00117-8     Document Type: Article

References (20)

1. Ziegler, H., Die Stabilitätskriterien der Elastomechanik. Ingenieur Archiv., 1952, 20, 49-52.
2. Bolotin, V. V., Nonconservative Problems of the Theory of Elastic Stability. Pergamon Press, New York, 1963.
3. Leipholz, H., Stability Theory, an Introduction to the Stability of Dynamic Systems and Rigid Bodies. Academic Press, New York, 1970.
4. Huseyin, K., Vibration and Stability of Multiple-Parameter Systems. Sijthoff & Noordhoff, Netherlands, 1978.
5. Kounadis, A. N., The existence of regions of divergence instability for non-conservative systems under follower loads. Int. J. Solids Structures, 1983, 9, 725-733.
6. Kounadis, A. N., On the paradox of the destabilizing effect of damping in nonconservative systems. Int. J. Non-Linear Mech., 1992, 274, 597-609.
7. Kandakis, G. and Kounadis, A. N., On the large postbuckling response of nonconservative continuous systems. Arch. Appl. Mech., 1992, 62, 256-265.
8. Plaut, R. H., Postbuckling analysis of nonconservative elastic systems. J. Struct. Mech., 1976, 44, 395-416.
9. Kounadis, A. N., On the reliability of postbuckling analyses for nonconservative imperfect systems. Arch. Mech. Warsaw, 1991, 43, 95-105.
10. Kounadis, A. N., Avraam, T. and Mallis, J., On the reliability of classical divergence instability analyses of Ziegler's nonconservative model. Comp. Math. Appl. Mech. Eng., 1992, 95, 317-330.
11. Kounadis, A. N. On the failure of static stability analyses of nonconservative systems in regions of divergence instability. Int. J. Solids Structures, 1994, 3115, 2099-2120.
12. Kounadis, A. N. and Simitses, G. J., Local classical and global bifurcations in non-linear, non-gradient autonomous dissipative structural systems. J. Sound Vibration, 1993, 1603, 417-432.
13. Inman, D. J., Dynamics of asymmetric nonconservative systems. J. Appl. Mech. ASME, 1983, 50, 199-203.
14. Kounadis, A. N., Nonlinear stability and dynamic buckling of autonomous dissipative systems. Z. Angew. Math. Mech., 1995, 754, 283-293.
15. Gantmacher, F. R., The Theory of Matrices. Chelsea, New York, 1959.
16. Kounadis, A. N., Stability of elastically restrained Timoshenko cantilevers with attached masses subjected to follower forces. J. Appl. Mech. ASME, 1977, 44, 731-736.
17. Kounadis, A. N. and Simitses, G. J., Nonconservative systems with symmetrizable stiffness matrices exhibiting limit cycles. Int. J. Non-Linear Mech. (to appear).
18. Kounadis, A. N., A qualitative analysis for the local and global dynamic buckling and stability of autonomous discrete systems. Quart. J. Mech. Appl. Math., 1994, 472, 269-295.
19. Gantes, Ch. and Kounadis, A. N., Energy-based dynamic buckling estimates for autonomous dissipative systems. AIAA J., 1995, 337, 1342-1349.
20. Kounadis, A. N., Nonlinear dynamic buckling of discrete structural systems under impact loading. Int. J. Solids Structures, 1993, 3021, 2895-2909.