An analytical approach for free vibration analysis of Euler-Bernoulli stepped beams with axial-bending coupling effect
Apstrakt
Free vibration of eccentrically stepped beams with one step change in cross-section is considered. It is assumed that the longitudinal symmetry axes of the beam segments are translationally shifted along the vertical direction with respect to each other. The effect of that arrangement of the segments on the coupling of axial and bending vibrations of the stepped beam is analyzed. The beam segments are modeled in the frame of the Euler-Bernoulli theory of elastic beams. Two numerical examples are presented.
Ključne reči:
Stepped beam / Step eccentricity / Axial-bending coupling / Euler-Bernoulli theory / Natural frequency / Free vibrationIzvor:
Engineering Today, 2022, 1, 4, 7-17Izdavač:
- University of Kragujevac, Faculty of Mechanical and Civil Engineering, Kraljevo, Serbia
Finansiranje / projekti:
- Ministarstvo nauke, tehnološkog razvoja i inovacija Republike Srbije, institucionalno finansiranje - 200105 (Univerzitet u Beogradu, Mašinski fakultet) (RS-MESTD-inst-2020-200105)
- Ministarstvo nauke, tehnološkog razvoja i inovacija Republike Srbije, institucionalno finansiranje - 200108 (Univerzitet u Kragujevcu, Mašinski fakultet, Kraljevo) (RS-MESTD-inst-2020-200108)
Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Šalinić, Slaviša AU - Todorović, Marko AU - Obradović, Aleksandar PY - 2022 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4098 AB - Free vibration of eccentrically stepped beams with one step change in cross-section is considered. It is assumed that the longitudinal symmetry axes of the beam segments are translationally shifted along the vertical direction with respect to each other. The effect of that arrangement of the segments on the coupling of axial and bending vibrations of the stepped beam is analyzed. The beam segments are modeled in the frame of the Euler-Bernoulli theory of elastic beams. Two numerical examples are presented. PB - University of Kragujevac, Faculty of Mechanical and Civil Engineering, Kraljevo, Serbia T2 - Engineering Today T1 - An analytical approach for free vibration analysis of Euler-Bernoulli stepped beams with axial-bending coupling effect EP - 17 IS - 4 SP - 7 VL - 1 DO - 10.5937/engtoday2204007S ER -
@article{ author = "Šalinić, Slaviša and Todorović, Marko and Obradović, Aleksandar", year = "2022", abstract = "Free vibration of eccentrically stepped beams with one step change in cross-section is considered. It is assumed that the longitudinal symmetry axes of the beam segments are translationally shifted along the vertical direction with respect to each other. The effect of that arrangement of the segments on the coupling of axial and bending vibrations of the stepped beam is analyzed. The beam segments are modeled in the frame of the Euler-Bernoulli theory of elastic beams. Two numerical examples are presented.", publisher = "University of Kragujevac, Faculty of Mechanical and Civil Engineering, Kraljevo, Serbia", journal = "Engineering Today", title = "An analytical approach for free vibration analysis of Euler-Bernoulli stepped beams with axial-bending coupling effect", pages = "17-7", number = "4", volume = "1", doi = "10.5937/engtoday2204007S" }
Šalinić, S., Todorović, M.,& Obradović, A.. (2022). An analytical approach for free vibration analysis of Euler-Bernoulli stepped beams with axial-bending coupling effect. in Engineering Today University of Kragujevac, Faculty of Mechanical and Civil Engineering, Kraljevo, Serbia., 1(4), 7-17. https://doi.org/10.5937/engtoday2204007S
Šalinić S, Todorović M, Obradović A. An analytical approach for free vibration analysis of Euler-Bernoulli stepped beams with axial-bending coupling effect. in Engineering Today. 2022;1(4):7-17. doi:10.5937/engtoday2204007S .
Šalinić, Slaviša, Todorović, Marko, Obradović, Aleksandar, "An analytical approach for free vibration analysis of Euler-Bernoulli stepped beams with axial-bending coupling effect" in Engineering Today, 1, no. 4 (2022):7-17, https://doi.org/10.5937/engtoday2204007S . .