Closed-form solution for the free axial-bending vibration problem of structures composed of rigid bodies and elastic beam segments
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2020
Authors
Tomović, AleksandarŠalinić, Slaviša
Obradović, Aleksandar
Grbović, Aleksandar
Milovančević, Milorad
Article (Published version)
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In this paper, the coupled axial-bending vibration of planar serial frame structures composed of rigid bodies and Euler-Bernoulli beam segments is considered. The corresponding mode orthogonality conditions for this kind of structures are derived. It is assumed that the mass centers of rigid bodies have both the transverse and the axial eccentricity with respect to beam neutral axes and that the mass centers are located in the plane in which the rigid bodies perform planar motion. The system responses to initial excitation in the case of distinct as well as repeated natural frequencies are considered. Theoretical considerations are accompanied by four numerical examples.
Keywords:
Planar frames / Mode orthogonality condition / Initial excitation / Crossing phenomenon / Axial-bending vibrationSource:
Applied Mathematical Modelling, 2020, 77, 1148-1167Publisher:
- Elsevier Science Inc, New York
Funding / projects:
- Sustainability and improvement of mechanical systems in energetic, material handling and conveying by using forensic engineering, environmental and robust design (RS-MESTD-Technological Development (TD or TR)-35006)
Note:
- Peer reviewed version of the article:https://machinery.mas.bg.ac.rs/handle/123456789/4326
Related info:
DOI: 10.1016/j.apm.2019.09.008
ISSN: 0307-904X
WoS: 000503323500011
Scopus: 2-s2.0-85074387831
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Mašinski fakultetTY - JOUR AU - Tomović, Aleksandar AU - Šalinić, Slaviša AU - Obradović, Aleksandar AU - Grbović, Aleksandar AU - Milovančević, Milorad PY - 2020 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3269 AB - In this paper, the coupled axial-bending vibration of planar serial frame structures composed of rigid bodies and Euler-Bernoulli beam segments is considered. The corresponding mode orthogonality conditions for this kind of structures are derived. It is assumed that the mass centers of rigid bodies have both the transverse and the axial eccentricity with respect to beam neutral axes and that the mass centers are located in the plane in which the rigid bodies perform planar motion. The system responses to initial excitation in the case of distinct as well as repeated natural frequencies are considered. Theoretical considerations are accompanied by four numerical examples. PB - Elsevier Science Inc, New York T2 - Applied Mathematical Modelling T1 - Closed-form solution for the free axial-bending vibration problem of structures composed of rigid bodies and elastic beam segments EP - 1167 SP - 1148 VL - 77 DO - 10.1016/j.apm.2019.09.008 ER -
@article{ author = "Tomović, Aleksandar and Šalinić, Slaviša and Obradović, Aleksandar and Grbović, Aleksandar and Milovančević, Milorad", year = "2020", abstract = "In this paper, the coupled axial-bending vibration of planar serial frame structures composed of rigid bodies and Euler-Bernoulli beam segments is considered. The corresponding mode orthogonality conditions for this kind of structures are derived. It is assumed that the mass centers of rigid bodies have both the transverse and the axial eccentricity with respect to beam neutral axes and that the mass centers are located in the plane in which the rigid bodies perform planar motion. The system responses to initial excitation in the case of distinct as well as repeated natural frequencies are considered. Theoretical considerations are accompanied by four numerical examples.", publisher = "Elsevier Science Inc, New York", journal = "Applied Mathematical Modelling", title = "Closed-form solution for the free axial-bending vibration problem of structures composed of rigid bodies and elastic beam segments", pages = "1167-1148", volume = "77", doi = "10.1016/j.apm.2019.09.008" }
Tomović, A., Šalinić, S., Obradović, A., Grbović, A.,& Milovančević, M.. (2020). Closed-form solution for the free axial-bending vibration problem of structures composed of rigid bodies and elastic beam segments. in Applied Mathematical Modelling Elsevier Science Inc, New York., 77, 1148-1167. https://doi.org/10.1016/j.apm.2019.09.008
Tomović A, Šalinić S, Obradović A, Grbović A, Milovančević M. Closed-form solution for the free axial-bending vibration problem of structures composed of rigid bodies and elastic beam segments. in Applied Mathematical Modelling. 2020;77:1148-1167. doi:10.1016/j.apm.2019.09.008 .
Tomović, Aleksandar, Šalinić, Slaviša, Obradović, Aleksandar, Grbović, Aleksandar, Milovančević, Milorad, "Closed-form solution for the free axial-bending vibration problem of structures composed of rigid bodies and elastic beam segments" in Applied Mathematical Modelling, 77 (2020):1148-1167, https://doi.org/10.1016/j.apm.2019.09.008 . .