Analysis of Crossing and Veering Phenomena in Planar Frame Structures
Апстракт
In this paper, crossing and veering phenomena are discussed for a two-element frame consisted of beams of constant circular cross-sectional area, mass density and modulus elasticity, see Fig. 1. Depending on the mechanical characteristics of frames when two natural frequencies approach one another over the range of the diameter, their loci may cross or repel. Thus, phenomena of crossing and veering are introduced [1]. These phenomena have been thoroughly studied analytically using various discretization methods as in [2]and [3]. While experimental data on these topics are rather scarce, some experimental studies are given in [4]. An analytical solution for the presented problem is proposed in this paper.
Кључне речи:
Vibrations / Repeated natural frequencies / SensitivityИзвор:
Book of abstracts: 1st International Conference on Mathematical Modelling in Mechanics and Engineering Mathematical Institute SANU, 08-10. September, 2022., 2022, 124-124Издавач:
- Univerzitet u Beogradu, Mašinski fakultet
Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200105 (Универзитет у Београду, Машински факултет) (RS-MESTD-inst-2020-200105)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Veg, Marko AU - Tomović, Aleksandar AU - Obradović, Aleksandar PY - 2022 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4065 AB - In this paper, crossing and veering phenomena are discussed for a two-element frame consisted of beams of constant circular cross-sectional area, mass density and modulus elasticity, see Fig. 1. Depending on the mechanical characteristics of frames when two natural frequencies approach one another over the range of the diameter, their loci may cross or repel. Thus, phenomena of crossing and veering are introduced [1]. These phenomena have been thoroughly studied analytically using various discretization methods as in [2]and [3]. While experimental data on these topics are rather scarce, some experimental studies are given in [4]. An analytical solution for the presented problem is proposed in this paper. PB - Univerzitet u Beogradu, Mašinski fakultet C3 - Book of abstracts: 1st International Conference on Mathematical Modelling in Mechanics and Engineering Mathematical Institute SANU, 08-10. September, 2022. T1 - Analysis of Crossing and Veering Phenomena in Planar Frame Structures EP - 124 SP - 124 UR - https://hdl.handle.net/21.15107/rcub_machinery_4065 ER -
@conference{ author = "Veg, Marko and Tomović, Aleksandar and Obradović, Aleksandar", year = "2022", abstract = "In this paper, crossing and veering phenomena are discussed for a two-element frame consisted of beams of constant circular cross-sectional area, mass density and modulus elasticity, see Fig. 1. Depending on the mechanical characteristics of frames when two natural frequencies approach one another over the range of the diameter, their loci may cross or repel. Thus, phenomena of crossing and veering are introduced [1]. These phenomena have been thoroughly studied analytically using various discretization methods as in [2]and [3]. While experimental data on these topics are rather scarce, some experimental studies are given in [4]. An analytical solution for the presented problem is proposed in this paper.", publisher = "Univerzitet u Beogradu, Mašinski fakultet", journal = "Book of abstracts: 1st International Conference on Mathematical Modelling in Mechanics and Engineering Mathematical Institute SANU, 08-10. September, 2022.", title = "Analysis of Crossing and Veering Phenomena in Planar Frame Structures", pages = "124-124", url = "https://hdl.handle.net/21.15107/rcub_machinery_4065" }
Veg, M., Tomović, A.,& Obradović, A.. (2022). Analysis of Crossing and Veering Phenomena in Planar Frame Structures. in Book of abstracts: 1st International Conference on Mathematical Modelling in Mechanics and Engineering Mathematical Institute SANU, 08-10. September, 2022. Univerzitet u Beogradu, Mašinski fakultet., 124-124. https://hdl.handle.net/21.15107/rcub_machinery_4065
Veg M, Tomović A, Obradović A. Analysis of Crossing and Veering Phenomena in Planar Frame Structures. in Book of abstracts: 1st International Conference on Mathematical Modelling in Mechanics and Engineering Mathematical Institute SANU, 08-10. September, 2022.. 2022;:124-124. https://hdl.handle.net/21.15107/rcub_machinery_4065 .
Veg, Marko, Tomović, Aleksandar, Obradović, Aleksandar, "Analysis of Crossing and Veering Phenomena in Planar Frame Structures" in Book of abstracts: 1st International Conference on Mathematical Modelling in Mechanics and Engineering Mathematical Institute SANU, 08-10. September, 2022. (2022):124-124, https://hdl.handle.net/21.15107/rcub_machinery_4065 .