Raftoyiannis, JKounadis, ANThe nonlinear dynamic stability of simple nonlinearly elastic systems with or without viscous damping under step loading of infinite or finite duration is discussed. The analysis refers to discrete structural systems with one or two degrees of freedom which, under the action of the same loading applied statically, lose their stability by snapping. Considering the stability of motion in the large, in the sense of Lagrange, conditions for a bounded or an unbounded motion and thereby dynamic buckling criteria are properly established for one degree-of-freedom systems. It is found that, regardless of the length of time of loading application as well as regardless of whether or not damping is included, the motion ceases to be bounded when the phase-point velocity vanishes. Using this criterion, exact or approximate (lower bound) dynamic buckling loads for damped or undamped systems under step loading of infinite or finite duration can be obtained without solving the strongly nonlinear differential equation of motion.http://hdl.handle.net/123456789/102151217ISI:A1990DN14100014122328710.2514/3.251970001-1452engAMER INST AERONAUT ASTRONAUTAIAA JournalViscous DampingStructural AnalysisDynamic StabilityNonlinear ElasticityDynamic BucklingDynamic stability criteria of nonlinear elastic damped/undamped systems under step loadingjournalArticle1990Δημοσίευση 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