| Author(s): |
Assis, G. F. C. A.
;
Miranda, E. J. P., Jr.
;
Beli, D.
;
Camino, J. F.
;
Dos Santos, J. M. C.
;
Arruda, J. R. F.
;
Desmet, W
;
Pluymers, B
;
Moens, D
;
Rottiers, W
Total Authors: 10
|
| Document type: | Journal article |
| Source: | PROCEEDINGS OF INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING (ISMA2018) / INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS (USD2018); v. N/A, p. 12-pg., 2018-01-01. |
| Abstract | |
In the context of acoustic black hole investigations, recent works have proposed the use of a spatial state-space formulation for one-dimensional elastic waveguides. The boundary value problem is thus transformed into an initial value problem. Given that the state (Zdisplacements and forces) cannot be known a priori at any given boundary, but the impedance can, the state-space problem is recast into an impedance formulation, in the form of a Riccati equation. In this paper, this formulation is extended to compute the transfer matrix of a periodic cell of a one-dimensional elastic waveguide. With this transfer matrix, not only can the dispersion diagram be computed, but also the forced response of the finite structure. The simple case of an elastic rod is used to illustrate the proposed method. The dispersion diagram is verified with the plane wave expansion method, and the forced response is verified with the spectral element method. Numerical results show that the proposed method is an efficient way to characterize wave propagation in period elastic structures. (AU) | |
| FAPESP's process: | 14/19054-6 - Design of periodic structures with application to phononic crystals and acoustic metamaterials |
| Grantee: | Danilo Beli |
| Support Opportunities: | Scholarships in Brazil - Doctorate |