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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 徐冠倫(Kuan-Lun Hsu) | |
dc.contributor.advisor | 徐冠倫(Kuan-Lun Hsu | kuanlunhsu@ntu.edu.tw | ), | |
dc.contributor.author | Tai-Yen Hsu | en |
dc.contributor.author | 許玳嫣 | zh_TW |
dc.date.accessioned | 2023-03-19T23:48:00Z | - |
dc.date.copyright | 2022-08-30 | |
dc.date.issued | 2022 | |
dc.date.submitted | 2022-08-29 | |
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dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/86304 | - |
dc.description.abstract | 平面機構的運動學理論中,Euler-Savary方程式(ESE)作為一個經典又簡潔的公式,被廣泛使用在定位平面連桿機構中耦桿點移動路徑的曲率中心,進而合成特定的連桿機構,卻鮮少有人將其應用在直接接觸機構。在齒輪機構中,應用ESE可以更加瞭解齒形的形成過程及齒輪嚙合的原理;在凸輪機構中,將凸輪輪廓與從動件的接觸點視為在平面上運動的點,ESE也可以透過凸輪輪廓與從動件間的相對運動定位未知凸輪輪廓的曲率中心。過去ESE在盤形凸輪輪廓曲率上的應用之所以窒礙難行,是由於凸輪與從動件相對運動的反曲點圓難以被找到。 本文透過將平面機構中的相對運動轉變為瞬心線之間的相對滾動,定位桿件之間相對運動的反曲點圓,最後再將ESE應用在決定直接接觸機構輪廓的曲率中心。此方法不僅能夠快速地求得曲率半徑,也能同時求得機構輪廓,是個有效瞭解直接接觸機構相對運動且簡化輪廓曲率計算及合成的方法。 | zh_TW |
dc.description.abstract | In the theory of kinematics of planar mechanism, the Euler-Savary equation is a classical and concise formula extensively utilized to locate the center of curvature of coupler point path of planar linkages, moreover, in the synthesis of specific linkages. Nonetheless, limited research has been done on the application of the ESE to direct contact mechanisms. In gear mechanisms, enhanced understanding of the generation process and fundamental laws of gears can be achieved by utilizing the ESE concept. In cam mechanisms, the contact point between the cam profile and the follower is regarded as a moving point on a plane, thus, the radius of curvature of the unknown cam profile can be located through the relative motion between the cam and the follower. The challenge in applying the ESE for determining the center of curvature of the disk cam profile arose from the burdensome accessibility of the inflection circle describing the relative motion between the cam and the follower. In this paper, we transform the relative motion in planar mechanisms into the relative rolling between the centrodes, and then define the inflection circle between them. Afterward, the ESE can be advantageously applied to locate the center of the curvature of the direct contact mechanism profile. Hence, the radius of curvature of the gear or cam profile can be found and synthesized simultaneously. This method is beneficial for understanding the relative motion of direct contact mechanisms and simplifying the calculation and synthesis of the profile curvature. | en |
dc.description.provenance | Made available in DSpace on 2023-03-19T23:48:00Z (GMT). No. of bitstreams: 1 U0001-2608202212011100.pdf: 5701340 bytes, checksum: 4426f12e20f6c0bdfdc781b2e6607fdc (MD5) Previous issue date: 2022 | en |
dc.description.tableofcontents | 口試委員會審定書 i 誌謝 ii 摘要 iii Abstract iv 目錄 v 圖目錄 viii 表目錄 x 參數表 xi 第一章 前言 1 1-1 概論 1 1-2 文獻回顧 1 1-3 研究目標 2 第二章 平面上的相對運動 4 2-1 瞬心與瞬心線 4 2-2 Euler-Savary 方程式及反曲點圓 5 2-3 連桿中的瞬心線與ESE的應用 8 2-4 極心切線介紹 10 第三章 Euler-Savary 方程式在齒輪機構中的應用 13 3-1 齒形輪廓與曲率中心 13 3-1-1 漸開線 13 3-1-2 擺線 15 3-2 齒輪傳動 20 3-2-1 齒輪嚙合基本定律 20 3-2-2 漸開線齒輪 25 3-2-3 漸開線齒條 28 3-2-4 擺線齒輪 30 3-2-5 擺線齒條 32 3-3 討論 34 3-3-1 接觸點與輪廓的轉換 34 3-3-2 齒輪機構中的反曲點圓 34 3-4 數值範例 38 3-4-1 範例一–擺線齒輪機構 38 3-4-2 範例二–擺線齒輪與齒條機構 40 第四章 Euler-Savary 方程式在凸輪機構中的應用 42 4-1 搖擺式滾子型從動件盤形共軛凸輪 43 4-1-1 瞬心點座標推導 44 4-1-2 凸輪機構反曲點圓推導 45 4-1-3 凸輪輪廓的曲率中心 46 4-2 搖擺式平面型從動件盤形共軛凸輪 48 4-2-1 瞬心點座標推導 50 4-2-2 凸輪機構反曲點圓推導 51 4-2-3 凸輪對的曲率中心 52 4-3 平移式偏位滾子型從動件共軛凸輪 53 4-3-1 瞬心點座標推導 55 4-3-2 凸輪機構反曲點圓推導 55 4-3-3 凸輪對的曲率中心 56 4-4 平移式平面型從動件盤形共軛凸輪 58 4-4-1 瞬心點座標推導 60 4-4-2 凸輪機構反曲點圓推導 61 4-4-3 凸輪對的曲率中心 61 4-5 盤形凸輪輪廓曲率分析與合成 63 4-5-1 滾子型從動件的曲率分析 63 4-5-2 平面型從動件的曲率分析 65 4-5-3 凸輪輪廓的輪廓合成 66 4-6 數值範例 68 4-6-1 範例一–搖擺式滾子型從動件盤形共軛凸輪機構 68 4-6-2 範例二–搖擺式平面型從動件盤形共軛凸輪機構 71 4-6-3 範例三–平移式滾子型從動件盤形共軛凸輪機構 74 4-6-4 範例四–平移式平面型從動件盤形共軛凸輪機構 77 4-7 其他確動凸輪機構 80 4-7-1 搖擺式定寬從動件凸輪機構 80 4-7-2 平移式定徑從動件凸輪機構 82 第五章 結論 84 參考文獻 86 | |
dc.language.iso | zh-TW | |
dc.title | Euler-Savary方程式在平面直接接觸機構的應用 | zh_TW |
dc.title | The Application of Euler-Savary Equation to Planar Direct Contact Mechanisms | en |
dc.type | Thesis | |
dc.date.schoolyear | 110-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 石伊蓓(Yi-Pei Shih),陳羽薰(Yu-Hsun Chen),陳冠辰(Guan-Chen Chen) | |
dc.subject.keyword | Euler-Savary方程式,路徑曲率,齒輪機構,共軛凸輪機構,反曲點圓,極心切線, | zh_TW |
dc.subject.keyword | Euler-Savary equation,Path curvature,Gear mechanism,Conjugate cam mechanism,Inflection circle,pole tangent, | en |
dc.relation.page | 89 | |
dc.identifier.doi | 10.6342/NTU202202847 | |
dc.rights.note | 同意授權(全球公開) | |
dc.date.accepted | 2022-08-29 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 機械工程學研究所 | zh_TW |
dc.date.embargo-lift | 2022-08-30 | - |
顯示於系所單位: | 機械工程學系 |
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