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.
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CITATION STYLE
Eroǧlu, U., & Ruta, G. (2020). Vibration of Pre-Loaded Shallow Circular Arches. In Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019 (pp. 237–245). Springer Nature. https://doi.org/10.1007/978-3-030-34713-0_24
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