Free vibrations of spatial frame structures: analytical modelling and solution
Author(s)
Genel, Ömer Ekim
Tüfekci, Mertol
Tüfekci, Ekrem
Type
Journal Article
Abstract
This study analytically handles the three-dimensional free vibrations of spatial frames using the initial values method, considering the axial and shear deformations alongside rotary inertias, namely, torsional, in-plane bending and out-of-plane bending. To handle the spatial geometry, the direction cosine matrices are used. Validation is performed with three cases in total, one case available in the literature alongside two numerical examples that are solved analytically and compared to the finite element models. Excellent agreements are found between the analytical results and the results in the literature, as well as those obtained from the finite element models.
Date Issued
2023-10
Date Acceptance
2022-07-28
Citation
Journal of Vibration and Control, 2023, 29 (19-20), pp.4492-4502
ISSN
1077-5463
Publisher
SAGE Publications
Start Page
4492
End Page
4502
Journal / Book Title
Journal of Vibration and Control
Volume
29
Issue
19-20
Copyright Statement
© The Author(s) 2022. This article is distributed under the terms of the Creative Commons Attribution-NonCommercial 4.0 License (https://creativecommons.org/licenses/by-nc/4.0/) which permits non-commercial use, reproduction and distribution of the work without further permission provided the original work is attributed as specified on the SAGE and Open Access page (https://us.sagepub.com/en-us/nam/open-access-at-sage).
License URL
Identifier
https://journals.sagepub.com/doi/10.1177/10775463221122086
Publication Status
Published
Date Publish Online
2022-08-18