The elastic and energy dissipation properties of well-mixed binary systems of glass beads, sands, plastic and rubber particles were measured, subject to sinusoidal vibration at low magnitudes (0.05g) where the beds remained coherent, A system of bed surmounted by a top-cap mass was used to measure bed stiffness and loss factor for use in subsequent calculations. The properties of the mixtures were predicted accurately by a series, volumetric fraction model. Dynamic theory was used to predict energy dissipation per vibration cycle for open-top systems. The equivalent values of bed stiffness and loss factor, from the top-cap experiments, were used to predict theoretical prediction values, which were compared to the experimental data. There was excellent agreement for prediction of the frequency and magnitude of the dominant resonant frequency. Predictions deviated from the experimental data at higher frequencies, but the model was still able to predict harmonic frequencies.