Open Access

ARTICLE

Elastic Wave Propagation in Periodic Cellular Structures

B.Y. Tian¹, B. Tie¹, D. Aubry¹, X.Y. Su²

1 Laboratory MSSMat, Ecole Centrale Paris, CNRS (UMR 8579), France.
2 LTCS and Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, China

Computer Modeling in Engineering & Sciences 2011, 76(3&4), 217-234. https://doi.org/10.3970/cmes.2011.076.217

Abstract

The present work is devoted to a theoretical analysis and numerical modeling of elastic wave propagation firstly in a one-dimensional periodic elastic rod structure and then in two-dimensional periodic elastic beam structures by using Bloch wave theorem. The dispersion relation between Bloch wave vectors and eigen frequencies is obtained and its dependency upon the micro-structural characteristics of the periodic cellular structure is analyzed. Thanks to the Bloch wave transforms, only the primitive cell is considered theoretically or numerically and the phenomena of frequency band-gaps and the diffracted waves caused by the periodic cells are modeled and analyzed.

---

Keywords

---