| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] State Univ Sao Paulo, Sch Engn, UNESP, Bauru, SP - Brazil
[2] State Univ Sao Paulo, Sch Engn, UNESP, Ilha Solteira - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | MECHANICAL SYSTEMS AND SIGNAL PROCESSING; v. 154, JUN 1 2021. |
| Web of Science Citations: | 1 |
| Abstract | |
The study of mono-coupled periodic structures has gained renewed interest by the scientific community due to the new applications of metamaterials and meta-structures. Much research has focused on the wave propagation properties of infinite structures. However, this paper focuses on finite periodic structures, in particular the parameters that govern the behaviour of a low frequency stop-band of such a structure. From an engineering perspective, these are the lower and upper cut-off frequencies, i.e., the bandwidth, and the minimum transmission of vibration within the band. Using the Caley-Hamilton theorem, analytical expressions are derived for the receptance, dynamic stiffness and transmissibility of a finite mono-coupled structure. It is shown that the properties of the whole structure can be determined from the transmissibility of a single element. If the element is symmetric, then the expressions describing the stop-band are particularly simple. An approximate analytical expression has been derived that allows the number of elements needed for a given maximum attenuation in a low frequency stop-band to be determined. To illustrate the approach, lumped parameter systems are considered, in which the stop-band behaviour is governed by the addition of mass, stiffness and a vibration absorber. Expressions are derived for the maximum vibration attenuation within the first stop-band, for each case, enabling clear physical insight into the controlling parameters. Expressions are provided for the lower and upper cut-off frequencies of the stop-band. Some experimental results are also presented to support the theoretical analysis. (C) 2020 Elsevier Ltd. All rights reserved. (AU) | |
| 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 |
| FAPESP's process: | 20/00659-6 - Experimental analysis of nonlinear periodic structures |
| Grantee: | Vinícius Germanos Cleante |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |