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An improved analysis of free torsional vibration of axially loaded thin-walled beams with point-symmetric open cross-section

Authorized Users Only
2016
Authors
Prokić, Aleksandar
Mandić, Rastislav
Vojnić-Purcar, Martina
Article (Published version)
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Abstract
The objective of the paper is to analyze the influence of bimoment induced by constant axial loads on the free motion of thin-walled beams with point-symmetric open cross-section. For various boundary conditions, a closed-form solution for natural frequencies of free harmonic vibrations was derived by using a general solution of governing differential equations of motion based on Vlasov's theory. In order to investigate the effect of the bimoment on natural frequencies, the numerical examples with symmetric Z cross-section are given. The obtained results, verified using an ANSYS finite element model, demonstrate that the influence of the bimoment is important in the assessment of torsional natural frequencies.
Keywords:
Thin-walled beams / Free vibrations / Bimoment / Axial loading / Z cross-section
Source:
Applied Mathematical Modelling, 2016, 40, 23-24, 10199-10209
Publisher:
  • Elsevier Inc.

DOI: 10.1016/j.apm.2016.07.014

ISSN: 0307-904X

WoS: 000393539100032

Scopus: 2-s2.0-84994810294
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1
URI
https://grafar.grf.bg.ac.rs/handle/123456789/733
Collections
  • Катедра за техничку механику и теорију конструкција
Institution/Community
GraFar
TY  - JOUR
AU  - Prokić, Aleksandar
AU  - Mandić, Rastislav
AU  - Vojnić-Purcar, Martina
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/733
AB  - The objective of the paper is to analyze the influence of bimoment induced by constant axial loads on the free motion of thin-walled beams with point-symmetric open cross-section. For various boundary conditions, a closed-form solution for natural frequencies of free harmonic vibrations was derived by using a general solution of governing differential equations of motion based on Vlasov's theory. In order to investigate the effect of the bimoment on natural frequencies, the numerical examples with symmetric Z cross-section are given. The obtained results, verified using an ANSYS finite element model, demonstrate that the influence of the bimoment is important in the assessment of torsional natural frequencies.
PB  - Elsevier Inc.
T2  - Applied Mathematical Modelling
T1  - An improved analysis of free torsional vibration of axially loaded thin-walled beams with point-symmetric open cross-section
EP  - 10209
IS  - 23-24
SP  - 10199
VL  - 40
DO  - 10.1016/j.apm.2016.07.014
ER  - 
@article{
author = "Prokić, Aleksandar and Mandić, Rastislav and Vojnić-Purcar, Martina",
year = "2016",
abstract = "The objective of the paper is to analyze the influence of bimoment induced by constant axial loads on the free motion of thin-walled beams with point-symmetric open cross-section. For various boundary conditions, a closed-form solution for natural frequencies of free harmonic vibrations was derived by using a general solution of governing differential equations of motion based on Vlasov's theory. In order to investigate the effect of the bimoment on natural frequencies, the numerical examples with symmetric Z cross-section are given. The obtained results, verified using an ANSYS finite element model, demonstrate that the influence of the bimoment is important in the assessment of torsional natural frequencies.",
publisher = "Elsevier Inc.",
journal = "Applied Mathematical Modelling",
title = "An improved analysis of free torsional vibration of axially loaded thin-walled beams with point-symmetric open cross-section",
pages = "10209-10199",
number = "23-24",
volume = "40",
doi = "10.1016/j.apm.2016.07.014"
}
Prokić, A., Mandić, R.,& Vojnić-Purcar, M.. (2016). An improved analysis of free torsional vibration of axially loaded thin-walled beams with point-symmetric open cross-section. in Applied Mathematical Modelling
Elsevier Inc.., 40(23-24), 10199-10209.
https://doi.org/10.1016/j.apm.2016.07.014
Prokić A, Mandić R, Vojnić-Purcar M. An improved analysis of free torsional vibration of axially loaded thin-walled beams with point-symmetric open cross-section. in Applied Mathematical Modelling. 2016;40(23-24):10199-10209.
doi:10.1016/j.apm.2016.07.014 .
Prokić, Aleksandar, Mandić, Rastislav, Vojnić-Purcar, Martina, "An improved analysis of free torsional vibration of axially loaded thin-walled beams with point-symmetric open cross-section" in Applied Mathematical Modelling, 40, no. 23-24 (2016):10199-10209,
https://doi.org/10.1016/j.apm.2016.07.014 . .

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