研究不同尺寸之顆粒於平板振盪實驗所形成的克拉德尼節線圖案之特徵

Abstract

本論文的研究目的在於探討不同尺寸之顆粒在平板振盪實驗中所呈現的節線圖案受到的影響。我們為此針對具有等向性的鋁板與非等向性的黃銅板作研究，將不同顆粒大小的樣品灑至此兩種平板，進行平板振盪實驗，觀察形成節線圖案的特徵、成圖時間、成圖方式、在平板上顆粒質量的影響，並藉由理論模擬重建等向與非等向性平板的克拉德尼平板振盪實驗所得結果，了解並說明平板振盪顆粒之粒徑大小與形成克拉德尼節線圖案之過程及關係。

The purpose of this thesis is to explore the Chladni figures which are effected by various granular media size in resonant thin plate experiment. We choose Al and brass thin plates to investigate the phenomena for representing isotropic plate and anisotropic plate respectively. We spread various sizes of granular media on these two plates to progress the vibrating thin plate experiment. The characteristics of forming the nodal figures, the pattern forming time, the ways the pattern forming and how the mass of granular media on plate play the role are the specialties we concern. And we develop the theoretical model to calculate and reconstruct the Chladni figures of isotropic and anisotropic thin plates successfully. We figure out and explain it clearly the process and relations between granular media size and forming Chladni figures on isotropic plate and anisotropic plate.