多點狀微擾對正三角形平板振盪共振之研究

Exploring the resonant vibration of equilateral triangle plates with multi-point perturbation

張愛琳(AI-LIN CHANG)

指導教授 ： 陳永富

國立交通大學/理學院/理學院科技與數位學習學程/碩士(2020年)

摘要

本論文目的在於利用磁鐵探討微擾對平板耦合系統之共振圖形與頻譜的影響。實驗發現加入微擾後原共振頻譜會有明顯的分裂變化，且共振模態也會相應的改變。在圖型達到飽和前，可以透過調整微擾的力道使共振頻譜與模態造成不同程度的偏移與變化。微擾的力道不只能夠透過磁鐵大小改變之外，也與微擾與共振波函數之間的交互作用有關。除此之外，實驗也延伸探討了單點微擾與多點微擾對系統的影響。根據這些實驗結果可以得知，模態的節線在加入微擾的方式下有了更高的自由度以及調控性。相信此方面的研究對於未來微粒子的操控具有潛在的應用價值。

關鍵字

克拉德尼 ； 平板振盪

並列摘要

The effect of the perturbation by utilizing magnets on the resonant mode and frequency spectrum for thin alummium plate are experimentally explored. The split of spectrum and the difference of mode are observed after adding the perturbation into system. The mode and spectrum have different degree of shift and change through adjusting the strength of perturbation, respectively. The strength depends on not only the magnet size but also the interaction between the position of perturbation and the resonant mode. Furthermore, the mode and spectrum by adding single-point and multi-point of perturbation into system is compared. Experimental results reveal that the nodal line of the resonant mode is adjustable. It is believed that the method of the adjustable resonant mode and frequency spectrum is potentially beneficial to future applications in particle manipulation.

並列關鍵字

Equilateral triangle plates ； Exploring the resonant vibration ； Chladni patterns ； elastodynamics

參考文獻

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