| Issue |
MATEC Web Conf.
Volume 211, 2018
The 14th International Conference on Vibration Engineering and Technology of Machinery (VETOMAC XIV)
|
|
|---|---|---|
| Article Number | 04006 | |
| Number of page(s) | 6 | |
| Section | DS: Dynamic Stability, Deterministic, Chaotic and Random Post-Critical States; TP10: Vibration and waves; TP13: Wave propagation | |
| DOI | https://doi.org/10.1051/matecconf/201821104006 | |
| Published online | 10 October 2018 | |
Free vibrations of circular curved beams
Department of Mechanical Engineering, Indian Institute of Technology Madras,
Chennai,
India.
* e-mail: ajinkyaa3.14@gmail.com
** e-mail: asarkar.iitm.ac.in
The study of free vibrations of curved beams has relevance in engineering applications like modeling turbo machinery blades, propellers, arch design, etc. Vibration characteristics of structures are generally evaluated using the Finite Element Method. The governing equations for the curved beam using the inextensional theory are available in the literature. These equations are solved analytically for two different boundary conditions, namely (a) simplysupported, (b) cantilever. The results obtained for all the cases are compared against the FEM simulation results. It is found that the present solutions are in agreement with the FEM solutions up to an opening angle of 40°.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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