發電實驗系統之壓電懸臂樑的敏感性分析

Sensitivity Analysis of Piezoelectric Cantilever Beams in Experimental Power Generation Systems

張豐宜(Feng-I Chang)

《慈惠學報》 16期 (2020/12) Pp. 1-15

https://doi.org/10.6202/THJ.202012_(16).0001

摘要

在這篇論文裡，我們研究與討論發電實驗系統之壓電懸臂樑的敏感性分析。分析這發電實驗系統之壓電懸臂樑的第1個模式到第5個模式的自然頻率與敏感性。一、隨著彈簧常數增加，第1模態到第4模態的自然頻率並無太大變化。但在模態5，無磁鐵質量與彈簧的情況下有一個最大的自然頻率。二、當彈簧常數固定，磁鐵質量增加，第1到第5個模態的自然頻率並無變化。三、當無磁鐵質量時，隨著彈簧常數的增加，第1到第4個模態敏感性變化不大。但在第5個模式，當無彈簧質量時，有出現一個較大負值敏感性數據。在本論文裡，當敏感性為負值時，皆視為無敏感性。四、彈簧常數固定，磁鐵質量增加，可發現第1到第4模態敏感性變化不大。但在第5模態，當磁鐵質量為0時，有一個最大的敏感性。本論文結果可以當成未來設計新的發電實驗系統之壓電懸臂樑的參考資料。

關鍵字

發電實驗系統 ； 自然頻率 ； 敏感性 ； 彈簧常數 ； 磁鐵

並列摘要

In this paper, we study and discuss the sensitivity analysis of piezoelectric cantilever beams in experimental power generation systems. The natural frequencies and sensitivities of the 1st mode to the 5th mode of the piezoelectric cantilever are analyzed. Firstly, as the spring constant increases, the natural frequency of the 1st mode to the 4th mode does not change much. But in mode 5, there is a maximum natural frequency without the mass of the magnet and the spring. Secondly, when the spring constant is fixed and the mass of the magnet increases, the natural frequency of the 1st through 5th modes does not change. Thirdly, when there is no magnet mass, the sensitivity of the 1st to 4th modes does not change much with the increase of the spring constant. However, in the 5th mode, when there is no spring mass, there is a large negative sensitivity datum. In this paper, when the sensitivity is negative, it is regarded as no sensitivity. Fourthly, when the spring constant is fixed and the mass of the magnet increases, the sensitivity of the 1st to 4th modes does not change much. However, in mode 5, there is a maximum sensitivity when the mass of the magnet is zero. The results of this paper can be used as reference for the future design of piezoelectric cantilever beams for new experimental power generation systems.

並列關鍵字

power generation experiment system ； natural frequency ； sensitivity ； spring constant ； magnet

參考文獻

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