An improved analysis of free torsional vibration of axially loaded thin-walled beams with point-symmetric open cross-section
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-sectionSource:
Applied Mathematical Modelling, 2016, 40, 23-24, 10199-10209Publisher:
- Elsevier Inc.
DOI: 10.1016/j.apm.2016.07.014
ISSN: 0307-904X
WoS: 000393539100032
Scopus: 2-s2.0-84994810294
Institution/Community
GraFarTY - 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 . .