The exact natural frequency solution of a free axialbending vibration problem of a non-uniform AFG cantilever beam with a tip body
2019
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Аутори
Tomović, AleksandarŠalinić, Slaviša
Obradović, Aleksandar
Lazarević, Mihailo
Mitrović, Zoran
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
In this paper we present the solution of exact equations of motion for coupled axial and
bending vibrations of a non-uniform axially functionally graded (AFG) cantilever beam with a
body of which mass center is eccentrically displaced in axial and transverse direction with respect
to the beam’s end. The Euler-Bernoulli beam theory is implemented to model behavior of the
beam under axial and transverse in-plane vibrations. Based on the paper [1], that is supported by
results publish in the paper [2] authors confirm the obtained results of natural frequencies of the
AFG cantilever beam, when boundary conditions define the vibration coupling. The modified
symbolic-numeric method of initial parameters presented in [3] is implemented in computing
natural frequencies of the beam. This method is expanded to solve axial-bending vibration
problems, with respect to the one presented in the literature [3] for the problem of the vibration of
a cantilever beam. Some minor deviations in th...e obtained results may be noticed with respect to
those obtained in [1], yet all within a tolerance domain due to the computational precision.
Кључне речи:
coupled vibrations / boundary conditions / natural frequency / functionally graded materials / modified symbolic-numeric method of initial parameters / cantilever beamИзвор:
Proceeding of 7th International Congress of Serbian Society of Mechanics Sremski Karlovci, Serbia, June 24-26, 2019, 2019, M4c-Издавач:
- Beograd : Srpsko društvo za mehaniku
Финансирање / пројекти:
- Одрживост и унапређење машинских система у енергетици и транспорту применом форензичког инжењерства, еко и робуст дизајна (RS-MESTD-Technological Development (TD or TR)-35006)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Tomović, Aleksandar AU - Šalinić, Slaviša AU - Obradović, Aleksandar AU - Lazarević, Mihailo AU - Mitrović, Zoran PY - 2019 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4028 AB - In this paper we present the solution of exact equations of motion for coupled axial and bending vibrations of a non-uniform axially functionally graded (AFG) cantilever beam with a body of which mass center is eccentrically displaced in axial and transverse direction with respect to the beam’s end. The Euler-Bernoulli beam theory is implemented to model behavior of the beam under axial and transverse in-plane vibrations. Based on the paper [1], that is supported by results publish in the paper [2] authors confirm the obtained results of natural frequencies of the AFG cantilever beam, when boundary conditions define the vibration coupling. The modified symbolic-numeric method of initial parameters presented in [3] is implemented in computing natural frequencies of the beam. This method is expanded to solve axial-bending vibration problems, with respect to the one presented in the literature [3] for the problem of the vibration of a cantilever beam. Some minor deviations in the obtained results may be noticed with respect to those obtained in [1], yet all within a tolerance domain due to the computational precision. PB - Beograd : Srpsko društvo za mehaniku C3 - Proceeding of 7th International Congress of Serbian Society of Mechanics Sremski Karlovci, Serbia, June 24-26, 2019 T1 - The exact natural frequency solution of a free axialbending vibration problem of a non-uniform AFG cantilever beam with a tip body SP - M4c UR - https://hdl.handle.net/21.15107/rcub_machinery_4028 ER -
@conference{ author = "Tomović, Aleksandar and Šalinić, Slaviša and Obradović, Aleksandar and Lazarević, Mihailo and Mitrović, Zoran", year = "2019", abstract = "In this paper we present the solution of exact equations of motion for coupled axial and bending vibrations of a non-uniform axially functionally graded (AFG) cantilever beam with a body of which mass center is eccentrically displaced in axial and transverse direction with respect to the beam’s end. The Euler-Bernoulli beam theory is implemented to model behavior of the beam under axial and transverse in-plane vibrations. Based on the paper [1], that is supported by results publish in the paper [2] authors confirm the obtained results of natural frequencies of the AFG cantilever beam, when boundary conditions define the vibration coupling. The modified symbolic-numeric method of initial parameters presented in [3] is implemented in computing natural frequencies of the beam. This method is expanded to solve axial-bending vibration problems, with respect to the one presented in the literature [3] for the problem of the vibration of a cantilever beam. Some minor deviations in the obtained results may be noticed with respect to those obtained in [1], yet all within a tolerance domain due to the computational precision.", publisher = "Beograd : Srpsko društvo za mehaniku", journal = "Proceeding of 7th International Congress of Serbian Society of Mechanics Sremski Karlovci, Serbia, June 24-26, 2019", title = "The exact natural frequency solution of a free axialbending vibration problem of a non-uniform AFG cantilever beam with a tip body", pages = "M4c", url = "https://hdl.handle.net/21.15107/rcub_machinery_4028" }
Tomović, A., Šalinić, S., Obradović, A., Lazarević, M.,& Mitrović, Z.. (2019). The exact natural frequency solution of a free axialbending vibration problem of a non-uniform AFG cantilever beam with a tip body. in Proceeding of 7th International Congress of Serbian Society of Mechanics Sremski Karlovci, Serbia, June 24-26, 2019 Beograd : Srpsko društvo za mehaniku., M4c. https://hdl.handle.net/21.15107/rcub_machinery_4028
Tomović A, Šalinić S, Obradović A, Lazarević M, Mitrović Z. The exact natural frequency solution of a free axialbending vibration problem of a non-uniform AFG cantilever beam with a tip body. in Proceeding of 7th International Congress of Serbian Society of Mechanics Sremski Karlovci, Serbia, June 24-26, 2019. 2019;:M4c. https://hdl.handle.net/21.15107/rcub_machinery_4028 .
Tomović, Aleksandar, Šalinić, Slaviša, Obradović, Aleksandar, Lazarević, Mihailo, Mitrović, Zoran, "The exact natural frequency solution of a free axialbending vibration problem of a non-uniform AFG cantilever beam with a tip body" in Proceeding of 7th International Congress of Serbian Society of Mechanics Sremski Karlovci, Serbia, June 24-26, 2019 (2019):M4c, https://hdl.handle.net/21.15107/rcub_machinery_4028 .