本研究探討顆粒物質於能量耗散特性之評估，模擬尺寸與性質相異之顆粒置於兩平行振動板內，於下平板輸入水平向振幅及頻率，經由振動後追蹤上平板輸出之振幅及頻率來證明顆粒物質之能量耗散特性。數值模擬結果顯示，上平板水平向主要振動頻率皆小於1Hz，代表週期較長的長波運動；垂直向亦同。能量結果顯示，上平板總能量遠小於下平板之能量，且能量消耗比例可達接近95%。選擇顆粒愈重、愈軟之材質，能量耗散比例愈佳。

The focus of the present study is on the energy dissipation characteristics of a dry granular material. A sample of dry granular matter is placed inside two parallel oscillating plates, with the lower plate excited harmonically with prescribed amplitude and frequency in the horizontal direction, while the oscillating motion of the upper plate is traced for its amplitude and frequency to identify the energy dissipation characteristics of the granular matter.
Numerical simulations show that the dominated oscillating frequencies in the horizontal direction of the upper plate are always smaller than 1Hz with longer amplitudes, representing long-wave horizontal oscillations of the upper plate. The same tendency displays for the vertical motions of the upper plate. Calculations show that the mechanical energy of the upper plate is much lower than that of the lower plate, and the energy dissipation ratio is nearly 95%. The heavier and softer the granular matters are, the higher the energy dissipation ratio will be.

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