Please use this identifier to cite or link to this item:
https://hdl.handle.net/11147/4748
Title: | Finite Element Model for Vibration Analysis of Pre-Twisted Timoshenko Beam | Authors: | Yardımoğlu, Bülent Yıldırım, Tolga |
Keywords: | Finite element method Cantilever beams Degrees of freedom Equations of motion Hamiltonians Polynomials |
Publisher: | Academic Press Inc. | Source: | Yardımoğlu, B., and Yıldırım, T. (2004). Finite element model for vibration analysis of pre-twisted Timoshenko beam. Journal of Sound and Vibration, 273(4-5), 741-754. doi:10.1016/j.jsv.2003.05.003 | Abstract: | A new linearly pre-twisted Timoshenko beam finite element, which has two nodes and four-degrees-of-freedom per node, is developed and subsequently used for coupled bending-bending vibration analysis of pre-twisted beams with uniform rectangular cross-section. First, displacement functions based on two coupled displacement fields (the polynomial coefficients are coupled through consideration of the differential equations of equilibrium) are derived for pre-twisted beams whose flexural displacements are coupled in two planes. This approach helps to reduce the number of nodal variables. Next, the stiffness and mass matrices of the finite element model are obtained by using the energy expressions. Finally, the natural frequencies of pre-twisted Timoshenko beams are obtained and compared with previously published theoretical and experimental results to confirm the accuracy and efficiency of the present model. Excellent agreement is found with the previous studies. Also, the new pre-twisted Timoshenko beam element has good convergence characteristics. | URI: | http://doi.org/10.1016/j.jsv.2003.05.003 http://hdl.handle.net/11147/4748 |
ISSN: | 0022-460X 0022-460X 1095-8568 |
Appears in Collections: | Mechanical Engineering / Makina Mühendisliği Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Show full item record
CORE Recommender
SCOPUSTM
Citations
44
checked on Dec 20, 2024
WEB OF SCIENCETM
Citations
38
checked on Dec 21, 2024
Page view(s)
338
checked on Dec 23, 2024
Download(s)
430
checked on Dec 23, 2024
Google ScholarTM
Check
Altmetric
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.