Abstract
In this study, we investigated the dynamic responses of granular materials from the perspective of Fourier transform. The frequency components of the stress wave were analyzed. The exponential relationship between particle acceleration (contact force) and the excitation frequency was derived to illustrate the mechanism of the effect of excitation energy on particle contact force. Then according to the average wave velocity in the granular assemblies, the influence of the excitation frequency has been analyzed. Finally, by specifying a number of frequency values, the variation of the wave number with the particle microstructure (i.e., the radius ratio) is analyzed. Our research reveals the energy propagation process through the contact between particles within granular materials. The results can be a reference for material design using granular materials for energy collection, energy absorbing etc.
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