A finite element formulation for the analysis of horizontally curved thin-walled beams

Publisher:
ASME
Publication Type:
Conference Proceeding
Citation:
Proceedings of the ASME International Mechanical Engineering Congress and Exposition, 2015, vol. 9, 2015, 9 pp. 1 - 9
Issue Date:
2015
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In this study, a finite element formulation is developed for the elastic analysis of thin-walled curved beams. Using a second-order rotation tensor, the strains of the deformed configuration are calculated in terms of the displacement values and the initial curvature. The principle of virtual work is then used to obtain the nonlinear equilibrium equations, based on which a finite element beam formulation is developed. The accuracy of the method is confirmed through comparisons with test results and shell-type finite element formulations and other curved beam formulations from the literature. It is also shown that the results of the developed formulation are very accurate for cases where initial curvature is very large
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