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Free Vibrations and Buckling of Laterlally Functionally Graded Material Columns

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Mechanics of Composite Materials Aims and scope

A Correction to this article was published on 31 October 2023

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The paper aims to develop a unified modeling to analyze the free vibrations and buckling of laterally functionally graded material columns. The columns of rectangular cross-section, in which the mass density and Young’s modulus vary along the depth as a power-law function, were considered. The differential equation governing a mode shape of a deformed column was derived with the relevant boundary conditions, including the effect of rotatory inertia. The computation results for the natural frequencies and buckling load were compared well with those available in the open scientific literature. The effects of geometrical and material properties on natural frequencies and buckling loads with the mode shapes are highlighted.

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Acknowledgement

This paper was supported by Wonkwang University in 2022. The first author, Professor G. S. Kim, would like to express his gratitude for this financial support.

Declaration of conflict of interest. The authors declare that they have no conflict of interest.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, 460 Iksan-daero, Iksan-si, 54538, Jellabuk-do, Korea

    Gweon Sik Kim & Byoung Koo Lee

  2. Department of Civil Engineering, University of Seoul, 163 Seoulsiripdae-ro, Seoul, 02504, Dongdaemun-gu, Korea

    Joon Kyu Lee

  3. Bumhan Construction Corp. Ltd., 5 Hongsan-ro, Wansan-gu, Jeonju-si, 54966, Jellabuk-do, Korea

    Dai Soon Ahn

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  1. Gweon Sik Kim
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  2. Joon Kyu Lee
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Correspondence to Byoung Koo Lee.

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Kim, G.S., Lee, J.K., Ahn, D.S. et al. Free Vibrations and Buckling of Laterlally Functionally Graded Material Columns. Mech Compos Mater 59, 807–824 (2023). https://doi.org/10.1007/s11029-023-10133-7

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  • DOI: https://doi.org/10.1007/s11029-023-10133-7

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