Gantes, CKounadis, ANThe dynamic buckling global response of a nonlinear, 3-degree-of-freedom dissipative model under a step loading of infinite duration is thoroughly discussed. Geometrically imperfect models with symmetric or antisymmetric imperfections losing their static stability through a limit point and an asymmetric bifurcation point, respectively, are considered. Emphasis is given to the combined effect of nonlinearities (geometric and/or material) and damping. Exact, approximate, and lower/upper bound estimates based on energy criteria for establishing the dynamic buckling response of such autonomous models without solving the highly nonlinear initial-value problem are assessed. The reliability and efficiency of the proposed readily obtained estimates is illustrated via numerical simulation, the accuracy of which is checked using energy balanced considerations. Certain interesting byproducts associated with a postlimit point bifurcation and breakdown of the symmetry of deformation are also revealed.http://hdl.handle.net/123456789/1151633134910.2514/3.12797713420001-1452ISI:A1995RG31900022engAIAA, Washington, DC, United StatesAIAA journalDampingDynamic responseParameter estimationDeformationComputer simulationStructural loadsAutonomous dissipative systemsAsymmetric bifurcation pointEnergy based dynamic bucklingNonlinear initial value problemStep loadingDegrees of freedom (mechanics)EfficiencyLower/upper bound estimatesProblem solvingMathematical modelsBifurcation (mathematics)ReliabilityBucklingDissipative SystemEnergy-based dynamic buckling estimates for autonomous dissipative systemsjournalArticle1995Δημοσίευση 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