Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/7281
Title: Free vibration analysis of elastically supported Timoshenko columns with attached masses by transfer matrix and finite element methods
Authors: Demirdag, Oktay
Keywords: Elastic support
Finite element
Free vibration
Timoshenko column
Transfer matrix
Finite element method
Mathematical models
Stiffness
Transfer matrix method
Vibration analysis
Elastic connections
Free vibrations
Governing equations
Columns (structural)
Publisher: Indian Academy of Sciences
Abstract: This paper deals with the free vibration of Timoshenko columns with attached masses having rotary inertia. The support of the model is elastically restrained against rotation. The concept of fixity factor is used to define the stiffness of the elastic connection relative to that of the column. The governing equation of the column elements is solved by applying the separation of variables method in the transfer matrix method (TMM) algorithm. The same problems are solved, also, by finite element method (FEM) algorithm in which the matrices in equation of motion are obtained for Timoshenko column, and the results are compared with the ones of TMM. The comparison graphs are presented in numerical analysis to show the effectiveness of the considered methods, and it is resulted that FEM gives closer results to TMM.
URI: https://hdl.handle.net/11499/7281
https://doi.org/10.1007/s12046-008-0005-6
ISSN: 0256-2499
Appears in Collections:Mühendislik Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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