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  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 機械工程學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/8216
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor李志中(Jyh-Jone Lee)
dc.contributor.authorSheng-Chia Yuen
dc.contributor.author尤聖嘉zh_TW
dc.date.accessioned2021-05-20T00:50:12Z-
dc.date.available2025-08-13
dc.date.available2021-05-20T00:50:12Z-
dc.date.copyright2020-09-17
dc.date.issued2020
dc.date.submitted2020-08-13
dc.identifier.citation[1] Erdman, A.G. and G.N. Sandor, Mechanism design: analysis and synthesis (Vol. 1). 1997: Prentice-Hall, Inc.
[2] Midha, A. and Z.-L. Zhao. (1985). Synthesis of planar linkage via loop closure and nonlinear equations solution. Mechanism and Machine theory. 20(6): p. 491-502.
[3] Lee, W.-T. and K. Russell. (2018). Developments in quantitative dimensional synthesis (1970–present): four-bar path and function generation. Inverse Problems in Science and Engineering. 26(9): p. 1280-1304.
[4] Laribi, M., et al. (2004). A combined genetic algorithm–fuzzy logic method (GA–FL) in mechanisms synthesis. Mechanism and machine theory. 39(7): p. 717-735.
[5] Acharyya, S. and M. Mandal. (2009). Performance of EAs for four-bar linkage synthesis. Mechanism and Machine Theory. 44(9): p. 1784-1794.
[6] Erkaya, S. and I. Uzmay. (2009). Determining link parameters using genetic algorithm in mechanisms with joint clearance. Mechanism and Machine Theory. 44(1): p. 222-234.
[7] Xiao, R. and Z. Tao. A swarm intelligence approach to path synthesis of mechanism. in Ninth International Conference on Computer Aided Design and Computer Graphics (CAD-CG'05). 2005. IEEE.
[8] Diab, N. and A. Smaili. An elitist ants-search based method for optimum synthesis of rigid-linkage mechanisms. in ASME 2015 International Mechanical Engineering Congress and Exposition. 2015. American Society of Mechanical Engineers Digital Collection.
[9] Lee, C.K. and Y.C. Cheng. Significant factors identification for particle swarm optimization algorithm to solving the design optimization problem of a four-bar linkage for path generation. in Applied Mechanics and Materials. 2013. Trans Tech Publ.
[10] Sardashti, A., H. Daniali, and S. Varedi. (2013). Optimal free-defect synthesis of four-bar linkage with joint clearance using PSO algorithm. Meccanica. 48(7): p. 1681-1693.
[11] Ettefagh, M.M., M. Abbasi, and H. Emdadi. (2014). Path synthesis of the four-bar mechanism using meta-heuristic algorithms. International Journal of Reasoning-based Intelligent Systems. 6(3-4): p. 109-117.
[12] Shiakolas, P., D. Koladiya, and J. Kebrle. (2002). On the optimum synthesis of four-bar linkages using differential evolution and the geometric centroid of precision positions. Inverse Problems in Engineering. 10(6): p. 485-502.
[13] Koladiya, D., P. Shiakolas, and J. Kebrle. Evolutionary based optimal synthesis of four-bar mechanisms. in ASME 2003 International Mechanical Engineering Congress and Exposition. 2003. American Society of Mechanical Engineers Digital Collection.
[14] Bulatović, R.R. and S.R. Dordević. (2009). On the optimum synthesis of a four-bar linkage using differential evolution and method of variable controlled deviations. Mechanism and Machine Theory. 44(1): p. 235-246.
[15] Matekar, S.B. and G.R. Gogate. (2012). Optimum synthesis of path generating four-bar mechanisms using differential evolution and a modified error function. Mechanism and Machine Theory. 52: p. 158-179.
[16] Lin, W. and K. Hsiao. (2017). A new differential evolution algorithm with a combined mutation strategy for optimum synthesis of path-generating four-bar mechanisms. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 231(14): p. 2690-2705.
[17] Sancibrian, R., et al. (2004). Gradient-based optimization of path synthesis problems in planar mechanisms. Mechanism and machine theory. 39(8): p. 839-856.
[18] Smaili, A. and N. Atallah. A tabu-gradient search-based optimization technique for synthesis of mechanisms. in ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. 2004. American Society of Mechanical Engineers Digital Collection.
[19] Smaili, A.A., N.A. Diab, and N.A. Atallah. (2005). Optimum synthesis of mechanisms using tabu-gradient search algorithm. Journal of Mechanical Design. 127(5): p. 917-923.
[20] Wu, J., et al. (2011). On the extension of a Fourier descriptor based method for planar four-bar linkage synthesis for generation of open and closed paths. Journal of Mechanisms and Robotics. 3(3): p. 031002.
[21] Sharma, S., A. Purwar, and Q. Jeffrey Ge. (2019). An optimal parametrization scheme for path generation Using Fourier descriptors for four-bar mechanism synthesis. Journal of Computing and Information Science in Engineering. 19(1).
[22] Chase, T.R. and J.A. Mirth. (1993). Circuits and branches of single-degree-of-freedom planar linkages.
[23] Hinton, G.E., S. Osindero, and Y.-W. Teh. (2006). A fast learning algorithm for deep belief nets. Neural computation. 18(7): p. 1527-1554.
[24] Khan, N., I. Ullah, and M. Al-Grafi. (2015). Dimensional synthesis of mechanical linkages using artificial neural networks and Fourier descriptors. Mechanical Sciences. 6(1): p. 29-34.
[25] Deshpande, S. and A. Purwar. (2019). A Machine Learning Approach to Kinematic Synthesis of Defect-Free Planar Four-Bar Linkages. Journal of Computing and Information Science in Engineering. 19(2): p. 021004.
[26] Deshpande, S. and A. Purwar. (2019). Computational Creativity Via Assisted Variational Synthesis of Mechanisms Using Deep Generative Models. Journal of Mechanical Design. 141(12).
[27] Hiseh, C.-Y. (2017). Synthesis of Four-Bar Linkage for Path Generation and Motion Generation Using Fourier Descriptor. National Taiwan University.Mechanical Engineering. Master Thesis.
[28] Grieve, S. (2017). spatial-efd: A spatial-aware implementation of elliptical Fourier analysis. Journal of Open Source Software. 2(11): p. 189.
[29] Kuhl, F.P. and C.R. Giardina. (1982). Elliptic Fourier features of a closed contour. Computer graphics and image processing. 18(3): p. 236-258.
[30] Dibakar, S. and T. Mruthyunjaya. (1999). Synthesis of workspaces of planar manipulators with arbitrary topology using shape representation and simulated annealing. Mechanism and Machine Theory. 34(3): p. 391-420.
[31] Barker, C.R. (1985). A complete classification of planar four-bar linkages. Mechanism and Machine Theory. 20(6): p. 535-554.
[32] K-means. Clustering [Internet] [cited 2020 Jun. 14]; Available from: https://reurl.cc/8GR56o.
[33] 周志成. 主成分分析. 線代啟示錄 [Internet] (2013) [cited 2020 Jun. 14]; Available from: https://reurl.cc/1xE0GQ.
[34] Davies, D.L. and D.W. Bouldin. (1979). A cluster separation measure. IEEE transactions on pattern analysis and machine intelligence,(2): p. 224-227.
[35] Hongying, Y., T. Dewei, and W. Zhixing. (2007). Study on a new computer path synthesis method of a four-bar linkage. Mechanism and machine theory. 42(4): p. 383-392.
[36] Norton, R.L., Kinematics and dynamics of machinery. 2 ed. 2009: Mcgraw hill higher education.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/8216-
dc.description.abstract四連桿機構之路徑合成使用最佳化演算法會遇到缺陷問題與初始值設定問題。雖然近年來可見到結合深度學習的研究,成功解決使用最佳化演算法的問題,但在精準度上仍還有提升的空間。因此本研究提出一個模型架構,包含目標曲線之前處理、資料集生成以及模型訓練之過程,該模型架構可以自動判斷適合目標曲線的生成模型。本研究將目標曲線擬合後重新生成,解決目標曲線點數量不同與疏密不均勻的問題。針對資料集的生成,使用非監督式學習的方式調整不同形狀之曲線所佔的比例,讓生成資料集的過程可以均勻採樣到各種形狀的曲線,提升模型預測的準確性。本研究針對不同的四連桿機構種類,分別訓練對應的模型,並使用分類器自動判斷目標曲線適用的生成模型,簡化訓練的難度。本文中的範例顯示該模型架構可以成功合成各種封閉式曲線與開放式曲線。zh_TW
dc.description.abstractSolving the path synthesis of four-bar linkages via optimization algorithm may encounter issues as defects and guess of initial values. Recently, the method for resolving such problems associated with deep-learning schemes shows that it can avoid these issues. However, there is still room for improving the accuracy of the scheme. In this work, a framework including preprocessing, data generation, and model training for the path synthesis of four-bar linkage are presented. The preprocess starts by regenerating the target path with evenly distributed points along the path, followed by the normalization of the shape and feature extraction. For data generation, an unsupervised learning is employed to adjust the distribution of paths of different shapes in the dataset so that the robustness of the model can be achieved. As for model training, models based on datasets of different types of four-bar linkages as well as a classifier to determine the suitable generative model for the target path is constructed. Finally, several examples including closed and open paths are illustrated to verify the effectiveness of the framework.en
dc.description.provenanceMade available in DSpace on 2021-05-20T00:50:12Z (GMT). No. of bitstreams: 1
U0001-1308202016305800.pdf: 6930242 bytes, checksum: 8caa2d7f5d19e86fcc6b624b14327a1c (MD5)
Previous issue date: 2020
en
dc.description.tableofcontents誌謝 i
摘要 ii
Abstract iii
目錄 iv
圖目錄 vi
表目錄 ix
第一章 緒論 1
1.1 文獻回顧 1
1.2 研究動機 5
1.3 研究目的 7
1.4 論文架構 7
第二章 耦桿點曲線形狀特徵萃取 8
2.1 耦桿點曲線之生成 9
2.2 耦桿點曲線擬合演算法 12
2.3 耦桿點曲線正規化演算法 14
2.4 快速傅立葉轉換萃取曲線形狀特徵 20
第三章 資料集生成與分析 23
3.1 均勻機率分佈隨機採樣資料集與窮舉資料集生成 24
3.2 K-means集群分析與主成分分析 27
3.3 模型架構與K-means集群結果 31
3.4 均勻採樣資料集生成與卡方檢測 45
第四章 模型訓練及機構預測 51
4.1 生成模型架構與訓練方法 51
4.2 資料集訓練結果比較 53
4.3 分類器訓練與結果 66
4.4 機構預測 67
第五章 結論與未來展望 78
5.1 結論 78
5.2 未來展望 79
符號說明 80
參考文獻 84
dc.language.isozh-TW
dc.title應用基於均勻採樣資料集之生成模型於四連桿機構之路徑合成
zh_TW
dc.titleA Generative Model for Path Synthesis of Four-bar Linkages via Uniformly Sampled Dataset
en
dc.typeThesis
dc.date.schoolyear108-2
dc.description.degree碩士
dc.contributor.oralexamcommittee鐘文遠(Wen-Yeuan Chung),徐冠倫(Kuan-Lun Hsu)
dc.subject.keyword平面四連桿,路徑演生,機器學習,生成模型,機構合成,資料集生成,zh_TW
dc.subject.keywordplanar four-bar linkage,path synthesis,machine learning,generative model,mechanism synthesis,data generation,en
dc.relation.page87
dc.identifier.doi10.6342/NTU202003292
dc.rights.note同意授權(全球公開)
dc.date.accepted2020-08-14
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-lift2025-08-13-
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