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Title: | Buckling analysis of Euler columns embedded in an elastic medium with general elastic boundary conditions |
Authors: | Uludağ Üniversitesi/Mühendislik Fakültesi/İnşaat Mühendisliği Bölümü. 0000-0003-2231-170X Yaylı, Mustafa Özgür AAJ-6390-2021 44661926700 |
Keywords: | Mechanics Elastically restrained ends Euler columns Fourier sine series Stokes' transformation Beams Vibration Sections Bessel Boundary conditions Buckling Fourier series Analytical expressions Analytical method Coefficient matrix Elastically restrained ends Euler columns Fourier sine series Lateral deflection Stability equations Fourier transforms |
Issue Date: | 3-Feb-2017 |
Publisher: | Taylor and Francis |
Citation: | Yaylı, M. Ö. (2018). ''Buckling analysis of Euler columns embedded in an elastic medium with general elastic boundary conditions''. Mechanics Based Design of Structures and Machines, 46(1), 110-122. |
Abstract: | In this article, an efficient analytical method for elastically restrained Euler columns embedded in an elastic medium has been proposed to calculate buckling loads. The lateral deflection function under compression is represented by a Fourier sine series. Stokes' transformation is employed to develop the legitimized stability equations. Explicit analytical expressions are derived, which can be used for any type of boundary conditions. The efficiency of present formulation is demonstrated by comparing the results to those obtained by imposing three well-known boundary conditions available in the literature. A very good agreement has been obtained. The present formulation permits to have more efficient coefficient matrix for calculating the buckling loads of Euler columns with any desired boundary conditions. |
URI: | https://doi.org/10.1080/15397734.2017.1292142 https://www.tandfonline.com/doi/full/10.1080/15397734.2017.1292142 http://hdl.handle.net/11452/30382 |
ISSN: | 1539-7734 1539-7742 |
Appears in Collections: | Scopus Web of Science |
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