本研究探討了一種利用雨水衝擊四邊鉸接固定的平板來進行振動能量擷取並轉換為電能的系統。研究的目的是利用自然界中隨處可見的雨水動能，通過振動引發壓電材料產生電能，以實現綠色能源的收集和利用。
在理論上，首先推導出非線性板的運動方程式，並與模擬雨滴隨機大小之外力，及四邊鉸接之邊界條件，帶入FORTRAN中進行理論數值解，最後通過壓電方程式來估算發電量。通過理論推導和Ansys Workbench軟體模擬比較平板之位，和壓電片發電量，並得出似結果，初步驗證理論的準確性。此外，本研究還加入了電源管理系統，對每次振動產生的電能進行優化處理，以提升發電效率並減少不必要的電能損失。
最後，本文還通過實驗與理論比較。結果表明實驗與理論結果相差距大，經過分析發現模擬雨滴之鋼珠掉落時會對於壓電片有撞擊的影響，電源管理的部分也受此影響，無法顯著提升其發電效率。而原先理論的部分，在加入此因素並修正理論後，理論與實驗之間誤差也大幅修正，佐證其理論的準確性，證實此類的雨滴發電研究必須考慮拍擊力。通過這些研究工作，本論文展示了雨水激發振動能量擷取系統的可行性，並且該系統在多雨環境中的應用前景廣泛，不僅適用於太陽能板的輔助發電，還可應用於雨遮、帳篷等結構上。

This study investigates a system that harnesses vibrational energy induced by raindrop impacts on a clamped rectangular plate with hinged boundaries on all four sides, converting it into electrical energy. The objective is to utilize the widely available kinetic energy of natural rainfall to generate electricity through the vibrations of piezoelectric materials, thereby achieving green energy harvesting and utilization.
Theoretically, the nonlinear motion equations of the plate are first derived and integrated with simulated raindrop impacts of random sizes and the boundary conditions of the four-edge hinged plate. These are implemented in FORTRAN for numerical solutions. The generated electrical power is then estimated using piezoelectric constitutive equations. By comparing the theoretical displacement results and estimated power output from the piezoelectric elements with simulations conducted using Ansys Workbench, the accuracy of the theoretical model is preliminarily verified. Additionally, a power management system is incorporated to optimize the electrical output from each vibration cycle, aiming to enhance energy harvesting efficiency and reduce unnecessary energy losses. 
Finally, experimental results are compared with theoretical predictions. A significant discrepancy is observed, and further analysis reveals that the impact of steel balls simulating raindrops introduces a collision force on the piezoelectric element, affecting both the mechanical response and the power management system, thereby limiting the improvement in power conversion efficiency. After incorporating this impact force into the theoretical model and modifying the analysis accordingly, the gap between theoretical and experimental results is substantially reduced, confirming the validity of the revised model. This also highlights the importance of considering impact forces in raindrop-induced energy harvesting systems. Through these investigations, this thesis demonstrates the feasibility of a rainwater-induced vibrational energy harvesting system. The system shows great potential for application in rain-prone environments—not only as an auxiliary power source for solar panels but also for integration into structures such as rain shelters, tents, and similar installations.

目錄
目錄	IV
表目錄	VI
圖目錄	VII
第一章 緒論	1
一、1. 研究動機	1
一、2. 文獻回顧	2
一、3. 研究方法	13
第二章 理論模型之建立與分析	15
二、1. 運動方程式推導	15
二、2 非線性樑運動方程式無因次化推導	18
二、3 雨水動能推導	22
二、4 壓電片方程式理論模型建構	23
第三章 理論數值解與模擬比較	27
第四章 理論模型之建立與分析	33
四、1. 系統設計理念	33
四、2 硬體裝備與電子元件	42
四、3 實體電路	44
四、4  Arduino UNO 內部程式	46
第五章 實驗量測	48
五、1. 實驗設計	48
五、2 實驗結果	54
五、3 實驗結論	60
第六章 結論	64
參考文獻	67
附錄(一)壓電片之材料參數資料	71
附錄(二) 硬體裝備與電子元件參數資料	71
表目錄
表1 壓電片安裝在四邊與四角之理論電壓與軟體模擬比較誤差	32 
表2 未加入拍擊力理論與模擬與實驗之比較和誤差	60 
表3 加入拍擊力理論與實驗比較和誤差	63 
圖目錄
圖1板位移、內力示意圖	15
圖2板位移、力矩示意圖	16
圖3軟體模擬板結合壓電片圖	27
圖4-1 Ansys Workbench板受雨形變位移圖	28
圖4-2 Ansys Workbench板受雨形變位移圖	29
圖5-1數值解板受雨形變位移圖	29
圖5-2數值解板受雨形變位移圖	29
圖6數值解壓電片位於四邊之電壓與時間之響應圖	30
圖7 數值解壓電片位於四角之電壓與時間之響應圖	31
圖8壓電片電流等效電路(左)及壓電片電壓等效電路(右)之電路示意圖	33
圖9二極體組成之全橋整流器電路示意圖	34
圖10全橋整流器接上N-Channel MOSFET電路示意圖	34
圖11在升壓電路前串聯一個二極體電路示意圖	35
圖12 Arduino UNO示意圖	35
圖13電感輸入電容之電流與時間示意圖	38
圖14輸出電容之電流與時間示意圖	40
圖15 Arduino UNO實體圖	42
圖16 RBE01VYM6AFHTR參考圖	43
圖17 ALD212902PAL實體圖	43
圖18 ALD212902PAL內部參考圖	43
圖19 TK2R9E10PL,S1X實體圖	44
圖20 TK2R9E10PL,S1X內部參考圖	44
圖21四個RBE01VYM6AFHTR組成全橋整流器示意圖(a)和實體圖(b)	45
圖22實體電路參考圖(a)和實體圖(b)	46
圖23實驗裝置示意圖	49
圖24圓管	49
圖25轉軸	49
圖26支架	49
圖27四邊鉸接之平板正面圖(a)與反面圖(b)	50
圖28半齒輪圓盤正面(a)、反面(b)	51
圖29模擬落雨機制之裝置	51
圖30整體實驗裝置	52
圖31電源供應器	52
圖32 IMC	52
圖33電腦	53
圖34壓電片電壓與時間之響應圖	55
圖35壓電片整流後電壓與時間之響應圖	56
圖36經過 NMOS 1 (ALD212902PAL) 後電壓與時間之響應圖	57
圖37為圖36局部放大圖	57
圖38有無電源管理之差異比較	58
圖39經過升壓電路後不穩定電壓與時間之響應圖	59
圖40軟體模擬經過升壓電路後電壓與時間之響應圖	59
圖41壓電片位於四邊之電壓與時間之響應圖	62
圖42壓電片位於四角之電壓與時間之響應圖	62

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