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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Natural Frequencies and Band Gaps of Periodically Corrugated Beams

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Author(s):
Bachour, Rhamy Salim [1] ; Nicoletti, Rodrigo [1]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Sao Carlos Sch Engn, Dept Mech Engn, Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos - Brazil
Total Affiliations: 1
Document type: Journal article
Source: JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME; v. 143, n. 4 AUG 1 2021.
Web of Science Citations: 2
Abstract

Structures with geometric periodicity can present interesting dynamic properties like stop and pass frequency bands. In this case, the geometric periodicity has the effect of filtering the propagating waves in the structure, in a similar way to that of phononic crystals and metamaterials (non-homogeneous materials). Hence, by adopting such structures, we can design systems that present dynamic characteristics of interest, e.g., with minimum dynamic response in a given frequency range with large bandwidth. In the present work, we show that corrugated beams also present the dynamic properties of periodic structures due to their periodic geometry only (no need of changing mass or material properties along the beam). Two types of corrugated beams are studied analytically: beams with curved bumps of constant radii and beams with bumps composed of straight segments. The results show that, as we change the proportions of the bump, the natural frequencies change and tend to form large band gaps in the frequency spectrum of the beam. Such shifting of the natural frequencies is related to the coupling between longitudinal and transverse waves in the curved beam. The results also show that it is possible to predict the position and the limits of the first band gap (at least) as a function of the fundamental frequency of the straight beam (without bumps), irrespective of the total length of the corrugated beam. (AU)

FAPESP's process: 19/18095-4 - Numerical and experimental analysis of rotors with geometric periodicity and additive manufacturing
Grantee:Rhamy Salim Bachour
Support Opportunities: Scholarships in Brazil - Scientific Initiation
FAPESP's process: 18/15894-0 - Periodic structure design and optimization for enhanced vibroacoustic performance: ENVIBRO
Grantee:Carlos de Marqui Junior
Support Opportunities: Research Projects - Thematic Grants