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研究生: 陳嘉偉
Chen, Chia-Wei
論文名稱: 矩形板於簡支邊界下的振動特性量測
Experimental Measurement of Vibration Characteristics of a Simply Supported Rectangular Plate
指導教授: 蘇于琪
Su, Yu-Chi
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2025
畢業學年度: 113
語文別: 中文
論文頁數: 142
中文關鍵詞: 簡支邊界矩形板壓電薄膜自然頻率
外文關鍵詞: Simply-Supported Boundary, Rectangular Plate, PVDF, Natural Frequency
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  • 本研究旨在提出一種新型簡支邊界實驗模擬裝置,用於量測矩形板的振動特性。此裝置主要透過黏著劑提供板之支撐力,且允許板邊緣轉動,並在漿糊、白膠、中性矽利康、水性矽利康四種常見的黏著劑下進行實驗探討。結果顯示使用中性矽利康時,自然頻率實驗值與模擬值誤差最小,其固化時間長,阻尼效應低,在實驗重複性、時效性及準確性皆有優異之表現,為目前最佳之選擇。實驗採用PVDF與應變計量測板的振動特性,我們發現 PVDF的靈敏度優於應變計。此外,本研究亦以鋼珠敲擊懸臂梁搭配理論計算的方式反算材料參數,此方法為未知材料的性質提供一簡潔快速之估算。

    This study proposes a novel experimental setup with simply supported boundaries for measuring the vibrational characteristics of rectangular plates. The device primarily uses adhesives to provide support for the plate, allowing rotation at the plate's edges. Experiments were conducted using four common adhesives: starch starch paste, white glue, neutral silicone, and acrylic silicone.
    Results showed that when using neutral silicone, the discrepancy between experimental and simulated natural frequencies was consistently less than 2.5%. Neutral silicone's long curing time and low damping effect resulted in excellent performance in terms of experimental repeatability, timeliness, and accuracy, making it the optimal choice among the tested adhesives.
    The study employed PVDF (polyvinylidene fluoride) sensors and strain gauges to measure the plate's vibrational characteristics. We found that the sensitivity of PVDF sensors was superior to that of strain gauges. Furthermore, this research also presents a simple and rapid method for estimating material parameters of unknown materials by inversely calculating them from the theoretical analysis of a cantilever beam impacted by a steel ball.

    摘要i Abstractii 誌謝vi 目錄vii 圖目錄viii 表目錄xvii 第一章 緒論1 1.1 文獻回顧1 1.2 研究動機11 1.3 論文簡介12 第二章 材料反算實驗13 2.1 懸臂梁及儀器介紹13 2.2 實驗方法15 2.3 實驗與模擬結果比較21 第三章 簡支邊界矩形板振動實驗29 3.1 矩形板及儀器介紹29 3.2 簡支邊界支撐構架設計方法31 3.3 實驗方法36 3.4 實驗與模擬結果比較53 3.5 不同感測器於時域及頻域之比較92 3.6 不同型式之簡支邊界矩形板實驗95 第四章 結論與未來展望102 4.1 結論102 4.2 未來展望103 參考文獻104 附錄108 A. 實驗架設及重複性補充說明108 B. 黏著劑完全固化階段對矩形板之影響109 C. PVDF薄膜規格118 D. 應變規規格120 E. 電荷放大器與調適平台規格121

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