| Full text | |
| Author(s): |
Goto, Adriano M.
[1]
;
Nobrega, Edilson D.
[1, 2]
;
Pereira, Flavio N.
[1, 3]
;
Dos Santos, Jose Maria C.
[1]
Total Authors: 4
|
| Affiliation: | [1] Univ Estadual Campinas, UNICAMP FEM DMC, Rua Mendeleyev 200, Cidade Univ Zeferino Vaz, Campinas, SP - Brazil
[2] Univ Fed Maranhao, UFMA CCET CCEM, Cidade Univ Dom Delgado, Sao Luis, Maranhao - Brazil
[3] Univ Estadual Maranhao, UEMA FEM, Cidade Univ Paulo VI, Sao Luis, Maranhao - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES; v. 181, SEP 1 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
Wave-based higher-order rod models are formulated to calculate Bragg scattering band gaps and forced responses of periodic structures and phononic crystal using the Spectral Transfer Matrix (STM) and the Wave Finite Element (WFE) methods. STM is a wave propagation spectral method based on the transformation of a coupled second-order ordinary differential equation (ODE) in a system of first-order by using the state-space formulation. WFE is a wave-based finite element approach developed to calculate dynamic behavior in periodic acoustic and structural systems. Three higher-order rod theories, Love (one-wave mode), Mindlin-Herrmann (two-wave modes), and Mindlin-McNiven (three-wave modes) are formulated by STM and WFE methods. Applying the Bloch-Floquet theorem to periodic rod structures, dispersion diagrams, and forced responses are obtained from Bragg wavenumbers and wave modes. In order to evaluate the performance and efficiency of the wave-based higher-order rod models, numerical examples are simulated and the results are verified. An experimental test is performed for an actual PC rod and the results are used to validate the numerical ones. (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: | 19/16794-2 - Sound attenuation of a periodic array of micro perforated ducts and panels |
| Grantee: | Adriano Mitsuo Goto |
| Support Opportunities: | Scholarships in Brazil - Doctorate (Direct) |