SM25S_11494:Tue:1530:219
XXI International Congress of Theoretical and Applied Mechanics
Warsaw, Poland, August 15-21, 2004

Imperfection Sensitivity of Circular Arch's Non - Linear Modes

Carlos E. N. Mazzilli, Odulpho G. P. Baracho Neto, Mario E. S. Soares, Cesar T. Sanches
Laboratorio de Mecanica Computacional, Brazil


The paper addresses the imperfection sensitivity of non-linear vibration modes of moderately low and slender circular arches. Such structures may undergo unstable symmetric bifurcation prior to snap-through, under static uniform radial loading. Such instability corresponds to a buckling load that happens to be imperfection sensitive. A small imperfection may drastically cause the reduction of the arch?s critical load and, consequently, of its stiffness and vibration properties. Two finite-element procedures developed by the authors were employed, based on the invariant manifold and the multiple-scale techniques. A range of geometric, static loading and imperfection parameters are considered in the numerical simulations, so as to allow for comparison among different levels of description of the free-vibration properties of these structures, such as the linear modes, the non-linear modes about the undeformed configuration, and the non-linear modes about the equilibrium configuration of both perfect and imperfect systems.



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