The influence of geometric imperfections on the nonlinear behavior and stability of Augusti's model under static and dynamic loads is analyzed. This 2-DOF lumped-parameter system is an archetypal model of modal interaction in stability theory representing a large class of structural problems. When the system displays coincident buckling loads, several postbuckling paths emerge from the bifurcation point (critical load) along the fundamental path, in particular coupled unstable postbuckling paths that control the nonlinear dynamics of the system for load levels lower than the critical load. Systems displaying unstable postbuckling behavior are particularly sensitive to initial imperfections. They decrease the static buckling load and distort the topology of the safe potential well. Herein, coupled/uncoupled dynamic responses, bifurcations, escape from the prebuckling potential well, stability, space-time-varying displacements, and attractor-manifold-basin phase portraits are numerically evaluated with the aim of enlightening the effect of system imperfection sensitivity. In particular, the investigation of the reduction of escape load for several varying system parameters highlights the remarkable loss of safety and dynamic integrity of the structure due to penetration of eroding fractal tongues into the safe basin.

NONLINEAR DYNAMICS AND SENSITIVITY TO IMPERFECTIONS IN AUGUSTI'S MODEL / Diego, Orlando; Paulo, Goncalves; Rega, Giuseppe; Stefano, Lenci. - In: JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES. - ISSN 1559-3959. - ELETTRONICO. - 6:7-8(2011), pp. 1065-1078. (Intervento presentato al convegno 11th Pan-American Congress of Applied Mechanics (PACAM)/48th Meeting of the Society-for-Natural-Philosophy (SNP) tenutosi a Foz do Iguacu, BRAZIL nel JAN 04-08, 2010) [10.2140/jomms.2011.6.1065].

NONLINEAR DYNAMICS AND SENSITIVITY TO IMPERFECTIONS IN AUGUSTI'S MODEL

REGA, GIUSEPPE;
2011

Abstract

The influence of geometric imperfections on the nonlinear behavior and stability of Augusti's model under static and dynamic loads is analyzed. This 2-DOF lumped-parameter system is an archetypal model of modal interaction in stability theory representing a large class of structural problems. When the system displays coincident buckling loads, several postbuckling paths emerge from the bifurcation point (critical load) along the fundamental path, in particular coupled unstable postbuckling paths that control the nonlinear dynamics of the system for load levels lower than the critical load. Systems displaying unstable postbuckling behavior are particularly sensitive to initial imperfections. They decrease the static buckling load and distort the topology of the safe potential well. Herein, coupled/uncoupled dynamic responses, bifurcations, escape from the prebuckling potential well, stability, space-time-varying displacements, and attractor-manifold-basin phase portraits are numerically evaluated with the aim of enlightening the effect of system imperfection sensitivity. In particular, the investigation of the reduction of escape load for several varying system parameters highlights the remarkable loss of safety and dynamic integrity of the structure due to penetration of eroding fractal tongues into the safe basin.
2011
imperfection sensitivity; augusti's model; augusti model; nonlinear oscillations; load-carrying capacity; dynamic instability; nonlinear dynamics; modal coupling; imperfections
01 Pubblicazione su rivista::01a Articolo in rivista
NONLINEAR DYNAMICS AND SENSITIVITY TO IMPERFECTIONS IN AUGUSTI'S MODEL / Diego, Orlando; Paulo, Goncalves; Rega, Giuseppe; Stefano, Lenci. - In: JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES. - ISSN 1559-3959. - ELETTRONICO. - 6:7-8(2011), pp. 1065-1078. (Intervento presentato al convegno 11th Pan-American Congress of Applied Mechanics (PACAM)/48th Meeting of the Society-for-Natural-Philosophy (SNP) tenutosi a Foz do Iguacu, BRAZIL nel JAN 04-08, 2010) [10.2140/jomms.2011.6.1065].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/440421
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