Kounadis, ANDiscrete 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.http://hdl.handle.net/123456789/11076ISI:A1993LR726000141468147780001-145231engAMER INST AERONAUT ASTRONAUTAIAA journalDampingDynamic responseSystem stabilityLocal and globalStability of equilibriumBifurcationsNonlinear autonomousDynamic loadsEquations of motionStatic and dynamicJacobian eigenvaluesStability criteriaStructural systemsEigenvalues and eigenfunctionsBucklingStructural analysisStatic and dynamic, local and global, bifurcations in nonlinear autonomous structural systemsjournalArticle1993Δημοσίευση σε περιοδικόPublication in journalΑεροδιαστημική μηχανικήAerospace Engineeringisi - Engineering, Aerospace includes resources concerned with astronautics, aeronautics, aerospace, and aviation. Topics covered include the design and construction of aircraft, space vehicles, missiles, satellites, instrumentation, and power units, as well as the launch, flight, and guidance of crafts in the earth's atmosphere or in space. Resources in this category draw from many fields, including mechanics and mechanical engineering, automation, instrumentation, and materials science.Επιστημονικό άρθροScientific articleΕθνικό Μετσόβιο ΠολυτεχνείοGreek Aggregator OpenArchives.gr | National Documentation Centre (EKT)other