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.
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 . .
