Static and dynamic, local and global, bifurcations in nonlinear autonomous structural systems
Discrete damped or undamped gradient systems described by nonlinear autonomous ordinary differential equations (ODE) of motion are examined in detail. Emphasis is given to the relationship between static with possibly existing dynamic bifurcations. Criteria for dynamic bifurcations and stability of...
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| Veröffentlicht in: | AIAA journal 1993-08, Vol.31 (8), p.1468-1477 |
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| container_title | AIAA journal |
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| creator | Kounadis, A. N |
| description | Discrete damped or undamped gradient systems described by nonlinear autonomous ordinary differential equations (ODE) of motion are examined in detail. Emphasis is given to the relationship between static with possibly existing dynamic bifurcations. Criteria for dynamic bifurcations and stability of precritical, critical, and postcritical states associated with the nature of Jacobian eigenvalues are also presented. Cases of discrepancies between local and global dynamic analysis regarding the stability of equilibriums are reported for the first time. Finally, using a simple energy criterion, exact dynamic buckling loads for vanishing but nonzero damping are readily obtained. |
| doi_str_mv | 10.2514/3.11797 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0001-1452 |
| ispartof | AIAA journal, 1993-08, Vol.31 (8), p.1468-1477 |
| issn | 0001-1452 1533-385X |
| language | eng |
| recordid | cdi_proquest_miscellaneous_26252121 |
| source | Alma/SFX Local Collection |
| subjects | Exact sciences and technology Fundamental areas of phenomenology (including applications) Physics Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| title | Static and dynamic, local and global, bifurcations in nonlinear autonomous structural systems |
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