Global dynamic stability of a shallow arch by poincaré-like simple cell mapping

Abstract Global dynamic stability of a shallow elastic arch subjected to a distributed constant load is studied by Poincare-like simple cell mapping. The present solution of the dynamic model of the arch consists of two modes, one symmetric and one anti-symmetric. The global structure of the domains of attraction of the modes is determined and presented. The dynamic behavior, due to displacement and velocity disturbances imposed on the arch, is considered. Values of “safe” disturbances below which no buckling occurs are obtained.

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