# 臺灣博碩士論文加值系統

(100.28.2.72) 您好！臺灣時間：2024/06/22 22:16

:::

### 詳目顯示

:

• 被引用:1
• 點閱:369
• 評分:
• 下載:25
• 書目收藏:2
 本研究提出一個創新方法來產生特殊化機構，過程中以數學方式計算，且不須判斷同構。首先，利用組合理論找出編碼後運動鏈之排列群，再依排列群內之元素互換方式與排列數找出運動鏈之複合排列群，複合排列群是由本文所提之基本排列群與運算子組合而得。本文針對八桿以下運動鏈進行分析，觀察排列群內之元素互換關係與排列數，共定義六個基本排列群及四個運算子，每一個基本排列群擁有自身的生成函數，再經運算子搭配計算可得複合排列群的生成函數，生成函數以多項式表示，呈現的結果即為特殊化過程中分配連桿或接頭種類的依據。類型合成中，設計限制的定義是用來篩選數目合成所得之運動鏈。經由與類型合成相關文獻的收集與分類，將設計限制分類成三種，分別為鄰接、附隨及路徑限制條件。本方法經求得複合排列群之生成函數後，再考慮設計限制條件，並對複合排列群之生成函數篩選，最後獲得符合設計限制條件之特殊化機構。過去，特殊化過程是以人為觀察進行連桿、接頭分配，過程中對於同構檢查也是倚靠人為方式檢查，因而難免因人為因素的疏忽而產生錯誤。但本研究所提之方法，過程中以數學運算得到特殊化機構，不但提高效率且免除同構判斷，再者，本文收集過去創造性機構設計方法之應用例，再以本文所提之方法操作計算，並比較所得結果的正確性，以證明本文所提方法之可行性與可靠性。
 This research proposes an innovative methodology to generate specialized mechanism, without having to check for an isomorphic mechanism. The first step in this methodology is the derivation of a permutation from a labeled kinematic chain, according to the combinatorial theory. Then, the permutation is analyzed to obtain a composite permutation group. The composite permutation group contains basic permutation groups and operators. In this thesis, six basic permutation groups and four operators explained and defined by the permutations. Every basic permutation group has its own generating function and computation, using the operators derives the generating function of the kinematic chain. The generating function is a polynomial, which allots a name to links, or joints of the kinematic chain, in specialization.Type synthesis defines a design constraint to sieve the solution from the kinematic chain. Three design constrains are discussed in this thesis; adjacent, incident and path constraints. The generating function of the kinematic chain is sieved by the design constrains and a specialized generating function is obtained, which shows the result of the specialization process.The innovative mathematical method proposed here uses the generating function and coefficient to efficiently and accurately identify specialized mechanisms, thereby solving the problem of specialization in type synthesis. Being systematic, the method avoids the disadvantages of the observation method in the specialization process, and, as the numerical results show, eliminates the need to inspect for isomorphism in order to identify the exact mechanisms.
 摘 要 IABSTRACT II目 錄 III圖目錄 V符號說明 VIII第一章 前言 11.1 研究動機與目的 11.2 文獻回顧 21.3 研究方法 4第二章 基本名詞說明 52.1 連桿(接頭)的鄰接與非鄰接矩陣 52.2 附隨矩陣 52.3 路線、路徑與迴路 62.4 排列群 62.5 路徑群 72.6 相似類別 92.7 POLYA理論 92.8 生成函數 10第三章 基本排列群與運算子 123.1 單位群 123.2 對稱群 133.3 對偶群 143.4 迴路群 153.5 拘束迴路群 183.6 座標群 203.7 聯集運算子 213.8 附著運算子 223.9 組合運算子 243.10 組合附著運算子 26第四章 受限制之生成函數 294.1 倒置機構 294.2 鄰接與非鄰接限制條件 314.3 附隨限制條件 344.4 路徑限制條件 35第五章 方法流程及應用 385.1 分配迴轉對與滑行對於(6,7)運動鏈 385.2 分配旋轉對與滑行對於(8,10)運動鏈 465.3 輪子避震機構 585.4 電梯的雙安全防夾機構 605.5 可變行程的內燃引擎機構 635.6 沖床滑體驅動機構 67第六章 結論與建議 73REFERENCE 75附錄 I 79附錄 II 112附錄 III 115附錄 IV 117
 [1]H. S. Yan, Creative Design of Mechanical Devices, Springer, Singapore, 1998.[2]H. S. Yan and Y. W. Hwang, “The Generalization of Mechanical Devices,” Journal of the Chinese Society of Mechanical Engineers, Vol. 9, No. 3, pp. 191-198, 1988.[3]黃凱，最佳八連桿型機器馬之研究，國立成功大學 機械工程學系，碩士論文，1997。[4]沈煥文，八連桿型機器馬之機構設計，國立成功大學 機械工程學系，碩士論文，1999。[5]劉紹宏，具一滑行對八連桿型機器馬之設計，國立成功大學 機械工程學系，碩士論文，2005。[6]陳正昇，登山自行車後懸吊機構之設計，國立中山大學 機械孤城學系研究所，碩士論文，1999。[7]張躍錫，二輪車輛後懸吊機構之設計，崑山科技大學 機械工程研究所，碩士論文，2005。[8]楊永慶，車輛懸吊機構之構造合成，國立台北科技大學 車輛工程系所，碩士論文，2009。[9]吳有績，新型八連桿越野摩托車後懸吊機構之設計，國立成功大學 機械工程學系，碩士論文，2010。[10]王柏翰，新型二輪車輛連桿式防俯衝懸吊機構之設計，國立成功大學 機械工程學系，碩士論文，2011。[11]王俊凱，新型空間運動器材設計方法之研究，國立中正大學 機械工程所，碩士論文，2009。[12]張吉宏，雙功能橢圓踏步機之研究與概念設計，國立虎尾科技大學 機械與機電工程研究所，碩士論文，2010。[13]廖嘉郁，輔助輪椅上下台階連桿機構之設計，，國立成功大學 機械工程學系，碩士論文，2001。[14]葉俊雄，高性能看護型摺疊式輪椅之研發，國立台北科技大學機電整合所，碩士論文，2006。[15]陳彥鈞，四連桿式摺疊輪椅之設計與分析，國立台北科技大學機電整合所，碩士論文，2007。[16]J. J. Uicker and A. Raicu, “A Method for the Identification and Recognition of Equivalence of Kinematic Chains,” Mechanism and Machine Theory, Vol. 10, pp. 375-383, 1975.[17]H. S. Yan and W. M. Hwang, “A Method for the Identification of Planar Linkage Chains,” Transactions of the ASME, Journal of Mechanical Design, Vol. 105, No. 4, pp. 658-662, 1983.[18]R. K. Dubey and A. C. Rao, “New Characteristic Polynomial: A Reliable Index to Detect Isomorphism between Kinematic Chains,” Proceedings of theNational Conference on Machine and Mechanism, pp. 36-40, 1985.[19]T. S. Mruthyunjaya and H. R. Balasubramanian, “In Quest of a Reliable and Efficient Computational Test for Detection of Isomorphism in Kinematic Chains,” Mechainsm and Machine Theory, Vol. 22, No. 2, pp. 131-139, 1987.[20]H. S. Yan and W. M. Hwang, “Linkage Path Code,” Mechanism and Machine Theory, Vol. 19, No. 4, pp. 425-429, 1984.[21]A. G. Ambekar and V. P. Agrawal, “On Canonical Numbering of Kinematic chains and Isomorphism Problem: Max Code,” ASME Paper No. 86-DET-169, Design Engineering Technical Conference, 1986.[22]A. G. Ambekar and V. P. Agrawal, “Cononical Numbering of Kinematic Chains and Isomorphism Problem: min Code,” Mechanism and Machine Theory, Vol. 22, No. 5, pp. 453-461, 1987.[23]C. S. Tang and T. Liu, “The Degree Code-A New Mechanism Identifier,” Trends and Developments In Mechanisms, Machines and Robotics, ASME, Vol. 1, pp. 147-151, 1988,.[24]J. N. Yadav, C. R. Pratap and V. P. Agrawal, “Mechanisms of a Kinematic Chain and the Degree of Structural Similarity Based on the Concept of Link-Path Code,” Mechanism and Machine Theory, Vol.31, No. 7, pp. 865-871, 1996.[25]V. P. Agrawal and J. S. Rao, “Identification and Isomorphism of Kinematic Chains and Mechanisms,” Mechanism and Machine Theory, Vol. 24, No. 4, pp. 309-321, 1989.[26]S. Shende and A. C. Rao, “Isomorphism in Kinematic Chains,” Mechanism and Machine Theory, Vol. 29, No. 7, pp. 1065-1070, 1994.[27]A. C. Rao and P. B. Deshmukh, “Computer aided structural synthesis of planar kinematic chains obviating the test for isomorphism,” Mechanism and Machine Theory, Vol. 36, pp. 489-506, 2001.[28]Z. Chang, C. Zhang, Y. Yang and Y. Wang, “A New Method to Mechanism Kinematic Chain Isomorphism Identification,” Mechanism and Machine Theory, Vol. 37, pp. 411-417, 2002.[29]J. P. Cubillo and J. Wan, “Comments on Mechanism Kinematic Chain Isomorphism Identification Using Adjacent Matrices,” Mechanism and Machine Theory, Vol. 40, pp. 131-139, 2005.[30]A. Srinath and A. C. Rao, “Correlation to Detect Isomorphism, Parallelism and Type of Freedom,” Mechanism and Machine Theory, Vol. 41, pp. 646-655, 2006.[31]H. S. Yan and Y. M. Hwang, “The Specialization of Mechanisms,” Mechanism and Machine Theory, Vol. 26, pp. 541-551, 1991.[32]M.A. Pucheta and A. Cardona. “Type synthesis of planar linkage mechanisms with rotoidal and prismatic joints,” VIII Congreso Argentino de Mecanica Computacional, pp. 2703–2730, MECOM 2005.[33]H. S. Yan and C. C. Hung, “Identifying and Counting the Number of Mechanisms Form Kinematic Chains Subject to Design Constraints,” Journal of Mechanical Design, ASME, Vol. 128, pp. 1177-1182, 2006.[34]H. S. Yan and C. C. Hung, “An Improved Approach for Counting the Number of Mechanisms from Kinematic Chains subject to Design Constraints,” Journal of the Chinese Society of Mechanical Engineers, Vol. 28, No. 5, pp. 471-479, 2007.[35]H. S. Yan and C. C. Hung, “A Systematic Procedure to Count the Number of Mechanisms with Design Constraints,” Proc. 12th IFToMM world Congress, Besancon, France, June 18-21, 2007.[36]H. S. Yan and C. C. Hung, “A Procedure to Count the Number of Planar Mechanisms Subject to Design Constraints from Kinematic Chains,” Mechanism and Machine Theory, Vol. 43, No. 6, pp. 676-694, 2008.[37]F. Harary, Graph Theory, Addison-Wesley Publishing Company, 1972.[38]C.T. Liu, Introduction to Combinatorial Mathematics, McGraw-Hill, 1968.[39]G. Danielson, On Finding the Simple Paths and Circuits in a Graph, IEEE transactions on circuit theory, Vol. 15, No. 3, pp. 294-295, 1968.[40]Y. W. Hwang and G. C. Tzeng, “On the Permutation Groups and Generating Functions of Basic Kinematic Chains with Ten or Less Links,” The Chinese Society of Mechanical Engineers, Proceedings of the 16th National Conference on Mechanical Engineering, Vol.3, 1999.[41]H. S. Yan and J. J. Chen, “Creative Design of a Wheel Damping Mechanism,” Mech. Mach. Theory, Vol. 20, No. 6, pp. 597-600, 1985.[42]H. Y. Cheng, “Creative Design of Double Safety Shoes Mechanisms,” JSME international journal, Series C, Vol. 45, No. 1, pp. 378~382, 2002.[43]F. Freudenstein and E. R. Maki, “Development of an Optimum Variable-Stroke Internal-Combustion Engine Mechanism from the Viewpoint of Kinematic Structure,” ASME J. Mech. Transm. Autom. Des., Vol. 105, pp. 259-266, 1983.[44]許正和，機構構造設計學，高立圖書有限公司，2002。
 電子全文
 國圖紙本論文
 推文當script無法執行時可按︰推文 網路書籤當script無法執行時可按︰網路書籤 推薦當script無法執行時可按︰推薦 評分當script無法執行時可按︰評分 引用網址當script無法執行時可按︰引用網址 轉寄當script無法執行時可按︰轉寄

 1 八連桿型機器馬之機構設計 2 輔助輪椅上下台階連桿機構之設計 3 登山自行車後懸吊機構之設計 4 最佳八連桿型機器馬之研究 5 具一滑行對八連桿型機器馬之設計 6 新型二輪車輛連桿式防俯衝懸吊機構之設計 7 車輛懸吊機構之構造合成 8 雙功能橢圓踏步機之研究與概念設計 9 新型空間運動器材設計方法之研究 10 四連桿式摺疊輪椅之設計與分析 11 高性能看護型摺疊式輪椅之研發 12 二輪車輛後懸吊機構之設計

 無相關期刊

 1 地質材料的非線性動力學探討 2 資訊倫理與資訊安全認知之關聯性研究-以嘉義市政府警察局為例 3 中小企業導入網路行銷績效評估之研究-以廣穎機械為例 4 保險理財業務員情緒勞務負荷、工作倦怠與顧客導向行為之研究-以工作生活品質滿足程度為調節變項 5 全球化下台灣移民問題之探析 6 國軍執行救災決策之研究 7 四階有限差分的薛丁格波動方程解 8 房屋代銷業服務品質治理機制之研究 9 應用4R至6R過度拘束機構於空間健身器材合成研究 10 具構造限制條件機構類型合成之樣式多項式研究 11 全職實習諮商心理師完美主義、焦慮及諮商自我效能之相關研究 12 消費資訊來源與來源可信度對顧客抱怨行為影響之研究 13 臺灣地區黑暗觀光戰場遺址地景特性與光譜序列分析 14 論證券交易法資訊不實的民事損害賠償責任與因果關係認定的理論與實證 15 《寒夜三部曲》中客家女性與男性角色之研究

 簡易查詢 | 進階查詢 | 熱門排行 | 我的研究室