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Structural Engineering and Mechanics Volume 9, Number 4, April 2000 , pages 397-416 DOI: https://doi.org/10.12989/sem.2000.9.4.397 |
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New phenomena associated with the nonlinear dynamics and stability of autonomous damped systems under various types of loading |
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Sophianopoulos DS
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| Abstract | ||
| The present study deals with the nonlinear dynamics and stability of autonomous dissipative either imperfect potential (limit point) systems or perfect (bifurcational) non-potential ones. Through a fully nonlinear dynamic analysis, performed on two simple 2-DOF models corresponding to the classes of systems mentioned above, and with the aid of basic definitions of the theory of nonlinear dynamical systems, new important phenomena are revealed. For the first class of systems a third possibility of postbuckling dynamic response is offered, associated with a point attractor on the prebuckling primary path, while for the second one the new findings are chaos-like (most likely chaotic) motions, consecutive regions of point and periodic attractors, series of global bifurcations and point attractor response of always existing complementary equilibrium configurations, regardless of the value of the nonconservativeness parameter. | ||
| Key Words | ||
| autonomous systems, dynamic buckling, point attractors, static and dynamic bifurcations, chaotic transients | ||
| Address | ||
| Sophianopoulos DS, Natl Tech Univ Athens, Dept Civil Engn, Met Struct Lab, 42 Patis Str, GR-10682 Athens, Greece Natl Tech Univ Athens, Dept Civil Engn, Met Struct Lab, GR-10682 Athens, Greece | ||