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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 張鈞棣 | zh_TW |
| dc.contributor.advisor | Chun-Ti Chang | en |
| dc.contributor.author | 黃明祥 | zh_TW |
| dc.contributor.author | Ming-Siang Huang | en |
| dc.date.accessioned | 2023-03-20T00:04:02Z | - |
| dc.date.available | 2023-11-10 | - |
| dc.date.copyright | 2022-10-31 | - |
| dc.date.issued | 2022 | - |
| dc.date.submitted | 2002-01-01 | - |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/86573 | - |
| dc.description.abstract | 水球與水滴靜態的壓力-體積變化關係相似，兩者動態的振動行為或許也相似，而水球的共振行為或許可由液滴振動理論預測。本研究承襲Chang水球與水滴的研究(On the similarities between the resonance behaviors of water balloons and water drops, Physics of Fluids, vol. 32, no. 12, p. 124113, 2020)，探討夾持角小於90°的水球之共振行為。水球的共振模態可依形狀分為三類：zonal、sectoral、tesseral，其中，Chang並未發現水球的tesseral模態。本研究透過加大水球的底部半徑來增加其慣性力，有效降低產生共振所需的加速度，成功地觸發了三類共振模態，並透過高速攝影拍得模態的側視圖與俯視圖，完整記錄形狀從簡單到複雜的連續模態，並觀察到許多不同的諧振情形。模態的形狀能透過粒子影像測速法(Particle image velocimetry, PIV)等工具進行形狀分析，此方法以灰階圖有效呈現水球的模態形狀。此外，水球不是水滴，水球表面各處的張力分布不同，而液滴只有單一的表面張力。因此，液滴振動理論預測無法直接預測水球的共振頻率，其中又以sectoral模態的預測偏差最為嚴重，而這是前人未發現的現象。對此，本研究提出了一套轉換方法，透過找出模態的作用張力使液滴振動理論能預測水球的共振頻率，而水球表面的張力分布則由超彈性理論求出。這個方法受超彈性理論參數的影響程度低，並能有效連結水球實驗結果與水滴理論，更顯示主導水球振動的作用力或許是沿著緯線方向的張力。 | zh_TW |
| dc.description.abstract | The static pressure-volume relations of water balloons and drops have some similar characteristics. The dynamic resonance behavior of the two may be similar as well, and the drop vibration theory may predict the resonance behavior of the balloon. The hypothesis from the published research(On the similarities between the resonance behaviors of water balloons and water drops, Physics of Fluids, vol. 32, no. 12, p. 124113, 2020) is presented and examined in the study, particularly water balloons with a pinning angle less than 90°. The resonance mode of water balloons can be categorized by shapes: zonal, sectoral, and tesseral. No water balloon tesseral mode is found in the published study. The inertial force of the balloon increases by enlarging the water balloon. Thus, the accelerations trigger resonance modes are decreased effectively. This work presents top and side views of all three categories of modes, including complete sequences of resonance shapes from simple to complex ones. Several resonance types are also observed during the experiments. Mode shapes are presented by grayscale images done by Particle image velocimetry (PIV) and the shape analysis. Besides, water balloons are not drops. The tension of the balloon surface is not the same. In contrast, there is only one value for the drop’s surface tension. Thus, the drop vibration theories cannot predict resonance frequencies of balloons directly. Among all modes compared in the study, the discrepancy between sectoral modes and the predicted value is the largest, which is a new phenomenon. An adjustment method is proposed to solve the problem. The “acting tension” of the mode is proposed and calculated. The tension of the balloon is also calculated by hyperelastic theories. The “acting tension” method is nearly independent of hyperelastic parameters, and it successfully links water balloon experiment results and the drop vibration theory. The “acting tension” theory also indicates that the force that dominates balloon vibration may be the tension along with the circle of latitude. | en |
| dc.description.provenance | Made available in DSpace on 2023-03-20T00:04:02Z (GMT). No. of bitstreams: 1 U0001-2609202212133800.pdf: 15442756 bytes, checksum: 0f235cb99351840218a546d245220d52 (MD5) Previous issue date: 2022 | en |
| dc.description.tableofcontents | 目錄 口試委員會審定書………………………………………………………i 誌謝…………………………………………………………………………………ii 中文摘要………………………………………………………………………iii ABSTRACT………………………………………………………………………iv 目錄……….………………………………………………………………………vi 圖目錄 ……………………………………….……………………………viii 表目錄 …………………………………………….…………………………xiv 參數表 …………………………………………….…………………………xv 第一章 緒論………………………………………………………………1 第二章 靜態水球分析…………………………………………11 2.1水球…………………………………………………………………………11 2.2水球製作與水球壓力………………………………………15 2.3薄膜單軸拉伸機械性質…………………………………19 2.4水球表面形變與張力………………………………………26 2.5模擬水球………………………………………………………………34 2.6模擬P-V曲線………………………………………………………42 第三章 水球共振模態與頻率…………………………46 3.1水球共振實驗架設……………………………………………46 3.2水球共振實驗資料分析……………………………………49 3.3加速度與頻譜分析……………………………………………55 3.4水球模態形狀………………………………………………………58 3.5水球諧振與振動行為…………………………………………66 3.6頻率調整…………………………………………………………………77 第四章 Bond number與水球振幅……………………87 4.1 Bond number與水球振幅實驗方法…………87 4.2 Bond number與水球振幅實驗結果…………90 第五章 自動模態辨識……………………………………………94 5.1球諧函數法……………………………………………………………94 5.2一維數列法……………………………………………………………97 第六章 結論……………………………………………………………106 附錄A………………………………………………………………………………108 參考文獻………………………………………………………………………112 | - |
| dc.language.iso | zh_TW | - |
| dc.subject | 液滴 | zh_TW |
| dc.subject | 共振 | zh_TW |
| dc.subject | 超彈性 | zh_TW |
| dc.subject | 水球 | zh_TW |
| dc.subject | 薄膜 | zh_TW |
| dc.subject | drops | en |
| dc.subject | membrane | en |
| dc.subject | resonance | en |
| dc.subject | balloon | en |
| dc.subject | hyperelasticity | en |
| dc.title | 小半球水球的共振行為 | zh_TW |
| dc.title | Resonance of ‘Subhemispherical’ Water Balloons | en |
| dc.type | Thesis | - |
| dc.date.schoolyear | 110-2 | - |
| dc.description.degree | 碩士 | - |
| dc.contributor.oralexamcommittee | 單秋成;王安邦;黃美嬌 | zh_TW |
| dc.contributor.oralexamcommittee | Chow-Shing Shin;An-Bang Wang;Mei-Jiau Huang | en |
| dc.subject.keyword | 水球,液滴,薄膜,共振,超彈性, | zh_TW |
| dc.subject.keyword | balloon,drops,membrane,resonance,hyperelasticity, | en |
| dc.relation.page | 119 | - |
| dc.identifier.doi | 10.6342/NTU202204064 | - |
| dc.rights.note | 同意授權(全球公開) | - |
| dc.date.accepted | 2022-09-28 | - |
| dc.contributor.author-college | 工學院 | - |
| dc.contributor.author-dept | 機械工程學系 | - |
| dc.date.embargo-lift | 2027-09-27 | - |
| 顯示於系所單位： | 機械工程學系 | |
文件中的檔案：
| 檔案 | 大小 | 格式 | |
|---|---|---|---|
| ntu-110-2.pdf 此日期後於網路公開 2027-09-27 | 15.08 MB | Adobe PDF |
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