Control of the Vibration of Simply Supported Beams Using Springs with Proportional Stiffness to the Axially Applied Force
Artykuł w czasopiśmie
MNiSW
40
Lista 2021
| Status: | |
| Autorzy: | Wahrhaftig Alexandre de Macêdo, Dantas Júlia Good Lima, Brasil Reyolando Manoel Lopes Rebello da Fonseca, Kłoda Łukasz |
| Dyscypliny: | |
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| Rok wydania: | 2022 |
| Wersja dokumentu: | Drukowana | Elektroniczna |
| Język: | angielski |
| Numer czasopisma: | 6 |
| Wolumen/Tom: | 10 |
| Strony: | 2163 - 2177 |
| Web of Science® Times Cited: | 7 |
| Scopus® Cytowania: | 7 |
| Bazy: | Web of Science | Scopus |
| Efekt badań statutowych | NIE |
| Finansowanie: | The authors would like to thank the subside received from the National Council of Scientific and Technological Development (CNPq) through process 443044/2014-7; and São Paulo Research Foundation (FAPESP) through process 2017/06076-0; both are Brazilian agencies to research foment. The authors also would like to express their gratitude to the Federal University of Bahia (UFBA) for support in terms of research scholarships received through project 21092 inside the Call PROPCI/UFBA-01/2021-PIBIC. The fourth author is financially supported by Grant 2019/33/N/ST8/02661 from the National Science Centre (NSC), Poland. |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | NIE |
| Abstrakty: | angielski |
| Purpose In this work, the concept that defines a spring stiffness is established no longer as a function of the induced displacement but through the applied force on the system, an assumption that is evaluated through the theory of vibration of the mechanical systems. Methods A model consisting of a simply supported beam submitted to an axial force that reduces natural frequencies was used to verify the assumed hypothesis. In the system, a translational spring is positioned according to its longitudinal direction, which stiffness is allowed to vary with the magnitude of the applied axial force. The spring, or analogous device, therefore, acting on the beam does not change the natural frequency. First, the model is computationally elaborated by the finite element method and the hypothesis is experimentally tested. Results Differences around 1.5% have been found between the finite element simulations and experimental outcomes. In the case of compressive force approaching the buckling, the average of differences grown to 2.5%. Conclusion Experimental and numerical results prove the constancy of the natural frequency of the beam, even when the system is under the action of an axial force that tends to reduce its structural stiffness and, consequently, to change the frequency of vibration of the system. Level of Evidence IV, the assumed hypothesis is mathematically and experimentally confirmed. |
