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  • 學位論文

研究古典與現代克拉尼模態之差異

Exploring the distinction between classical and modern Chladni patterns

指導教授 : 陳永富

摘要


本論文主旨在於研究古典實驗方法之克拉尼模態,以及現代實驗方法之克拉尼模態兩者間差異。實驗方向上,先使用現代實驗方法將現代實驗結果之克拉尼模態記錄下來,再使用古典實驗方法重現古典實驗結果之克拉尼模態後,藉此兩種實驗記錄,觀察古典以及現代兩者間克拉尼模態之差異以及相關性。另外會將古典克拉尼模態之實驗結果,做系統式的統整以及分類,其中包含提琴弓張力大小影響古典克拉尼模態之差異以及相關性,以及使用不同厚度之平板,觀察古典以及現代之實驗結果去比較特性以及相關性,最後總結節點與腹點之間的相關性,以及如何快速從實驗圖中找出共通性,藉此規律將模擬圖快速呈現出來。

並列摘要


The purpose of the thesis was to analyze the difference between classic and modern experimental methods for Chladni patterns. To examine the correlation and variation of the phenomena, Demonstration and recording both methods separately. Besides, complete a systematic unification and classification regarding the classic experimental method. That includes how different string tension and metal plate thickness affect the interrelationship and distinction in the classic method. A simulation diagram could be presented with the commonality of the Chladni patterns in classic and modern experimental methods and the interconnection within the node and the antinode.

並列關鍵字

Chladni patterns

參考文獻


[1]E. F. F. Chladni, “Entdeckungen über die Theorie des Klanges”, Zentralantiquariat der DDR (1787).
[2]S. Lewis, “Seeing Sound: Hans Jenny and the Cymatic Atlas” (Doctoral dissertation, University of Pittsburgh) (2010).
[3]P. A. M. Dirac, “The principles of quantum mechanics (No. 27)”, Oxford university press (1981).
[4]D. Ullmann, “Life and work of EFF Chladni”, Eur. Phys. J-Spec. Top, 145(1), 25-32 (2007).
[5]E. F. F. Chladni, “Die akustik.”, Breitkopf & Härtel (1830).

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