We study dynamics of pre-stressed pinned shallow slender circular arches by one-dimensional field equations, simplified and solved by perturbation. The static response to a uniform load and small imperfections is found: the transverse displacement depends in closed form on the load. The first two frequencies of small vibration about the deformed shape, plus possible bifurcations in terms of the initial geometry and the pre-load are found.
Vibration of Pre-Loaded Shallow Circular Arches / Eroğlu, Uğurcan; Ruta, Giuseppe. - (2020), pp. 237-245. (Intervento presentato al convegno First International Nonlinear Dynamics Conference tenutosi a Roma) [10.1007/978-3-030-34713-0_24].
Vibration of Pre-Loaded Shallow Circular Arches
Ruta, Giuseppe
Secondo
Membro del Collaboration Group
2020
Abstract
We study dynamics of pre-stressed pinned shallow slender circular arches by one-dimensional field equations, simplified and solved by perturbation. The static response to a uniform load and small imperfections is found: the transverse displacement depends in closed form on the load. The first two frequencies of small vibration about the deformed shape, plus possible bifurcations in terms of the initial geometry and the pre-load are found.| File | Dimensione | Formato | |
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