Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2646
Title: Exact solution and dynamic buckling analysis of a beam-column system having the elliptic type loading
Authors: Artem, Hatice Seçil
Aydın, Levent
Keywords: Dynamic analysis
Ordinary differential equations
Dynamic buckling
Exact solutions
Jacobi elliptic functions
Stability
Issue Date: Oct-2010
Publisher: Springer Verlag
Source: Artem, H. S., and Aydın, L. (2010). Exact solution and dynamic buckling analysis of a beam-column system having the elliptic type loading. Applied Mathematics and Mechanics (English Edition), 31(10), 1317-1324. doi:10.1007/s10483-010-1364-8
Abstract: This paper presents a closed form solution to the dynamic stability problem of a beam-column system with hinged ends loaded by an axial periodically time-varying compressive force of an elliptic type, i.e., a 1cn 2(τ, k 2) + a 2sn2(τ, k 2) + a 3dn2(τ, k 2). The solution to the governing equation is obtained in the form of Fourier sine series. The resulting ordinary differential equation is solved analytically. Finding the exact analytical solutions to the dynamic buckling problems is difficult. However, the availability of exact solutions can provide adequate understanding for the physical characteristics of the system. In this study, the frequency-response characteristics of the system, the effects of the static load, the driving forces, and the frequency ratio on the critical buckling load are also investigated. © 2010 Shanghai University and Springer-Verlag Berlin Heidelberg.
URI: http://doi.org/10.1007/s10483-010-1364-8
http://hdl.handle.net/11147/2646
ISSN: 0253-4827
Appears in Collections:Mechanical Engineering / Makina Mühendisliği
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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