Diffusion based homogenization method for one dimensional locally resonant system

In recent years, extensive research has been carried out on dynamic homogenization approaches. Most of them are based on an analytical formulation of the equivalent medium and their validity is limited to low frequencies and avalibilty of a dynamic description of the heterogonous medium. In this paper, a two-step homogenization method is developed to derive a frequency dependent equivalent medium description for one-dimensional periodic systems. The first step focuses on the numerical calculation of the transmission and reflection coefficients at the interface of the unit cell of the original system and its equivalent medium representation. The second step is based on simultaneously minimising the reflection coefficients and maximising the transmission coefficients at the interface of the structure and its equivalent medium to retrieve the effective frequency dependent material properties. The method is validated by comparing the dispersion curves of a three-dimensional periodic tuned mass spring damper system and its equivalent model.

ISBN:9789073802995

Jaar van publicatie:2018

BOF-keylabel:ja

IOF-keylabel:ja

Authors from:Government, Higher Education