A methodology to determine the damping and elastic properties of particulate materials subjected to low intensity vibration was investigated. Acceleration transmissibility through a shallow bed was measured by sensing two acceleration signals at both top and bottom of the bed using a top-cap mass mounted on the bed surface. An analogue model technique was employed, which enables the damping and elasticity to be identified simultaneously and conveniently, compared to existing direct experimental techniques. The effects of the model forms upon the acceleration transmissibility data were theoretically examined. From the experimental resonant characteristic curve, the loss factor and elastic modulus were deduced using the analogue model technique. The data gave a reasonable agreement with data generated by existing techniques.