博碩士論文 87322009 詳細資訊




以作者查詢圖書館館藏 以作者查詢臺灣博碩士 以作者查詢全國書目 勘誤回報 、線上人數:15 、訪客IP:3.238.99.243
姓名 許秀真( Hsiu-chen Hsu)  查詢紙本館藏   畢業系所 土木工程學系
論文名稱 多面塊體系統之運動模擬
(Motion Simulations for a System Composed of Polyhedral Blocks)
相關論文
★ 元素釋放法在非均質材料之應用★ 元素釋放法在材料界面之處理
★ 三維離散元素法數值模擬之改良★ 元素釋放法在滲流上的應用
★ 三維顆粒介質與變形體互制行為之數值模擬★ 台北天母地下鋼構停車場規劃設計考量與施工問題之探討
★ 元素釋放法於三維滲流之應用★ 無元素法加權函數的適用性
★ 三維多面塊體系統之數值模擬★ 元素釋放法於單向度壓密理論之應用
★ 混合型剛體顆粒系統之數值模擬★ 多面塊體數值模擬-塊體的切割
★ 卵形顆粒介質運動之數值模擬★ 蛋形顆粒與多面體塊體之數值模擬
檔案 [Endnote RIS 格式]    [Bibtex 格式]    [相關文章]   [文章引用]   [完整記錄]   [館藏目錄]   [檢視]  [下載]
  1. 本電子論文使用權限為同意立即開放。
  2. 已達開放權限電子全文僅授權使用者為學術研究之目的,進行個人非營利性質之檢索、閱讀、列印。
  3. 請遵守中華民國著作權法之相關規定,切勿任意重製、散佈、改作、轉貼、播送,以免觸法。

摘要(中) 本研究可以由程式自動將各種多面體切割成最少個最簡積分單元(四面體),亦可自由控制多面體各佔的百分比與幾何形狀,在空間中自由生成,並利用AutoCAD與PhotoImpact製作動畫軟體展現出塊體的整體運動過程,以利觀察分析。
由程式模擬結果顯示,藉由頂點對面、稜邊對稜邊兩種接觸判斷即能正確判斷出各種形式的接觸型態。由於顯性時間積分法為條件性數值收斂,故時間步程長 須小於一臨界值才能確保數值穩定。本論文針對不同多面體質量與接觸彈簧勁度值進行參數研究,結果顯示可利用 估算臨界時間步程長。
摘要(英) From the results of simulation, it is found that all type of contacts between blocks can be well detected. The mutual reactions among elements are taken account by the relative forces and contact through normal and tangential spring model. The explicit time integration scheme is applied to solve the dynamic equations of each block. The explicit time integration algorithm is only numerically stable if the timestep is less than the critical timestep. Parameter studies of the influence of mass of block and spring stiffness on the estimation of critical timestep are conducted in this thesis.
關鍵字(中) ★ 多面塊體
★ 接觸判斷
★ Simplex積分法
★ 臨界時間步程長
關鍵字(英) ★ polyhedron
★ contact detection
★ Simplex integrati
論文目次 第一章 緒論-----------------------------------------------1
1.1前言-----------------------------------------------1
1.2研究動機與目的-------------------------------------3
1.3論文內容-------------------------------------------5
1.4研究工具-------------------------------------------5
第二章 文獻回顧-------------------------------------------7
2.1分離元素法之發展過程-------------------------------7
2.1.1二維圓形與橢圓顆粒系統---------------------------8
2.1.2二維塊體系統-------------------------------------8
2.1.3三維圓球與橢球顆粒系統---------------------------9
2.2三維離散系統之力學分析程序-------------------------9
2.3三維離散系統之相關數值程式------------------------10
2.3.1 3DEC程式---------------------------------------10
2.3.2 DYNA3D程式-------------------------------------11
2.3.3 PRONTO3D程式-----------------------------------12
第三章 多面體力學模擬程式之理論推導----------------------14
3.1多面體體積與慣性張量之計算------------------------14
3.1.1 Simplex積分概述--------------------------------15
3.1.2自動生成多面體之最簡積分單元--------------------17
3.1.3體積與慣性張量之Simplex積分公式-----------------18
3.2多面體系統之接觸判斷準則--------------------------20
3.2.1接觸判斷之前處理--------------------------------20
3.2.2接觸型態之判斷----------------------------------21
3.3頂點對面之接觸判斷法則----------------------------22
3.3.1頂點入侵塊體之判斷法----------------------------23
3.3.2頂點入侵面之判斷法------------------------------23
3.4稜邊對稜邊之接觸判斷法則--------------------------25
3.5接觸塊體之入侵量計算------------------------------26
3.5.1頂點對面接觸之入侵量計算------------------------27
3.5.2稜邊對稜邊接觸之入侵量計算----------------------28
3.6接觸力分析----------------------------------------30
3.6.1接觸力計算--------------------------------------30
3.6.2接觸彈簧之選取----------------------------------31
3.6.3塊體物理量之描述與接觸機制----------------------32
3.7各時間步程內之運動分析----------------------------36
3.7.1塊體之運動方程式--------------------------------37
3.7.2塊體的新位置------------------------------------40
3.7.3時間積分法--------------------------------------40
3.8全域與局部座標系之轉換----------------------------41
3.8.1角速度之座標轉換--------------------------------42
第四章 多面塊體數值程式流程與驗證------------------------44
4.1多面塊體數值程式之流程----------------------------44
4.1.1多面體初始狀態之輸入----------------------------44
4.1.2時間步程迴圈內之運算----------------------------45
4.2多面體程式頂點對面接觸之驗證----------------------46
4.2.1頂點對面之正向碰撞------------------------------47
4.2.2頂點對面之偏心碰撞------------------------------48
4.3 多面體程式稜邊對稜邊接觸之驗證-------------------50
4.3.1稜邊對稜邊之正向碰撞----------------------------50
4.3.2稜邊對稜邊之偏心碰撞----------------------------50
4.4多面體斜角碰撞邊界平面之擬靜態模擬----------------52
4.5 Simplex積分法計算體積與主慣性矩之驗證------------53
4.5.1 Simplex積分法計算多面體體積之驗證--------------54
4.5.2 Simplex積分法計算多面體主慣性矩----------------55
4.6時間積分法之參數研究------------------------------56
4.6.1接觸彈簧值之影響--------------------------------56
4.6.2質量之影響--------------------------------------57
4.6.3估計臨界時間步程長之經驗式----------------------57
第五章 結論與建議----------------------------------------59
5.1結論----------------------------------------------59
5.2建議----------------------------------------------61
參考文獻-------------------------------------------------63
參考文獻 1. Attaway, S. W., B. A. Hendrickson, S. J. Plimpton, D. R. Gardner, C. T. Vaughan, K. H. Brown, and M. W. Heinstein,“A Parallel Contact Detection Algorithm for Transient Solid Dynamics Simulations Using PRONTO3D”, Computational Mechanics, vol. 22, pp.143-159 (1998).
2. Cheng, Y.M., “Advancements and Improvement in Discontinuous Deformation Analysis,” Computers and Geotechnics, Vol. 22, No. 2, pp. 153-163 (1998).
3. Cundall, P. A., “Formulation of Three-dimensional Distinct Element Model─PartⅠ. A Scheme to Detect and Represent Contacts in a System Composed of Many Polyhedral Blocks,” Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., Vol. 25, No. 3, pp. 107-116 (1988).
4. Cundall, P.A., “Formulation of a Three-dimensional Distinct Element Model─Part Ⅱ. Mechanical Calculations for Motion and Interaction of a System Composed of Many Polyhedral Blocks.” Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., Vol. 25, No. 3, pp. 117-125 (1988).
5. Cundall, P.A., and O.D.L. Strack, “A Discrete Numerical Model for Granular Assemblies,” Geotechnique, Vol. 29, No. 1, pp. 47-65 (1979).
6. Das, B.M., Principle of Soil Dynamics, PWS-KENT, Boston, USA, pp. 5-51 (1993).
7. Ghaboussi, J., and R. Barbosa, “Three-dimensional Discrete Element Method for Granular Materials,” International Journal for numerical methods in Geomechanics, Vol. 14, pp. 451-472 (1990).
8. Goyal, S., E.N. Pinson, and F.W. Sinden, “Simulation of Dynamics of Interacting Rigid Bodies Including Friction II: Software System Design and Implementation,” Engineering with Computers, Vol. 10, pp. 175-195 (1994).
9. Hu, Ning, “A Solution Method for Dynamic Contact Problems,” Computers and Structures, Vol. 63, No. 6, pp. 595-602 (1997).
10. Ikegawa, Y., and J. Hudson, “A Novel Automatic Identification System for Three Dimensional Multi-block Systems,” 1st U.S. Conferences on Discrete Element Methods (1989).
11. Lin, J.S., and S. Chen, “Discrete Element Modeling of Direct Shear and Simple Shear Tests,” Proceedings of 2nd Int. Conference on DEM, IESL Publications, pp. 245-252 (1993).
12. Oldenburg, M. and L. Nilsson, “The Position Code Algorithm for Contact Searching,” Int. J. Numer. Meth. Engng., Vol. 37, pp. 359-368 (1994).
13. Shabana, Ahmed A., Computational Dynamics, John Wiley & Sons Inc. (1994).
14. Shi, G.H.,“Discontinuous Deformation Analysis, A new Numerical Model for the Static and Dynamics of Block systems,”Ph. D. Thesis, Department of Civil Engineering, University of California at Berkeley (1988).
15. Shi, G.H., “Modeling Dynamic Rock Failure by Discontinuous Deformation Analysis with Simplex Integrations,” Geotechnical Lab., U.S. Army Engineer Waterways Experiment Station, Viskburg, MS 39180-6199 (1995).
16. Ting, J.M., B.T. Corkum, C.R. Kauffman, and C. Greco, “Discrete Numerical Model for Soil Mechanics,” Journal of Geotechnical Engineering, Vol. 115, No. 3, pp. 379-398 (1989).
17. Wang, C.Y, C.C, Chuang and Jopan, Sheng, “Nobal Based Discontinuous Deformation Method with Collocation Time Integration Schemes,” Journal of the Chinese Institute of Civil and Hydraulic Engineering, Vol. 11, No. 3, pp. 461-471 (1999).
18. Wang, C.Y. and C.F., Wang and Jopan, Sheng, “A Packing Generation Scheme for the Granular Assemblies with 3D Ellipsoidal Particle,” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 23, pp. 815-828 (1999).
19. Wang, C.Y. and V.C., Liang, “A Packing Generation Scheme for the Granular Assemblies with Planar Elliptical Particle,” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 21, pp. 347-358 (1997).
20. Wang, S.P. and E. Nakamachi, “The Inside-Outside Contact Search Algorithm,” Int. J. Numer. Meth. Engng., Vol. 40, pp. 3665-685(1997).
21. Winkler, T., K. Meguro, and F. Yamazaki, “Response of Rigid Body Assemblies to Dynamic Excitation,” Earthquake Engineering and Structural Dynamic, Vol. 24, pp. 1389-1408 (1995).
22. Zhang, C., O.A. Pekau, F. Jin, and G. Wang, “Application of Distinct Element Method in Dynamic Analysis of High Rock Slopes and Blocky Structures,” Soil Dynamics and Earthquake Engineering, Vol. 16, pp. 385-394 (1997).
23. Zhao, H., “The Virtual Contact Loading Method for Contact Problems Considering Material and Geometric Nonlinearities,” Computers and Structures, Vol. 58, No. 3, pp. 621-632 (1996).
24. Zhong, Z.H. and L. Nilsson, “A Contact Searching Algorithm for General Contact Problems,” Computers and Structures, Vol. 33, No.1, pp. 197-209 (1989).
25. Zhong, Z.H. and L. Nilsson, “A Contact Searching Algorithm for General 3-D Contact-Impact Problems,” Computers and Structures, Vol. 34, No. 2, pp.327-335 (1990).
26. 王仲宇、李承恩、盛若磐,「三維球型顆粒堆積體之運動行為分析」,力學期刊,第十四卷,第二期,第500-510頁(1998)。
27. 莊清鏘、王仲宇,「二維離散塊體系統的接觸蒐尋法則」,力學期刊,第十五卷,第二期,第147-158頁(1999)。
28. 莊清鏘,「二維可變形多體系統的動、靜態分析」,博士論文,國立中央大學土木工程研究所,中壢(1999)。
29. 劉建宏,「橢球顆粒介質體運動之數值模擬」,碩士論文,國立中央大學土木工程研究所,中壢(1998)。
30. 陳俊全,「混合型橢球顆粒介質體運動之數值模擬」,碩士論文,國立中央大學土木工程研究所,中壢(1999)。
31. 王仲宇、盛若磐、陳銘鴻,「多體接觸分析之加權節點選配法」,力學期刊(印刷中)。
32. 黃燦輝,「非連續體模式於岩石工程應用之簡介」,顆粒材料力學研習會論文集,台北,第167-178頁(1991)。
33. 蔡錦松、康俊祥,「不連續變形分析在邊坡穩定上之初步探討」,顆粒材料力學研習會論文集,台北,第91-138頁(1991)。
34. 林志森,「不連續變形分析法於大地工程之應用」,地工技術,第69期,第71-80頁(1998)。
35. 尤春風、黃一峻,「從實體平面化資料建構有限元素網格」,國立台灣大學工程學刊,第75期,第155-168頁(1999)。
36. 陳錦清、顧承宇、冀樹勇,「不連續變形分析法之改進與大地工程上之應用」,專案研究報告SEC/R-GT-98-04,中興工程顧問社,台北(1998)。
37. 袁士杰、呂哲勤編著,多剛體系統動力學,北京理工大學出版社,北京(1992)。
38. Beer, F.P., and E.R. Johnston著,蘇金佳譯,動力學,東華書局,台北(1990)。
39. Johnson, K.L.著,徐秉業、羅學富、劉信聲、宋國華、孫學偉譯,接觸力學,中國大陸高等教育出版社,北京(1985)。
40. Burden, L.R. and Faires, J.D.著,許福全譯,數值分析,東華書局,台北(1995)。
指導教授 盛若磐(Jopan Sheng) 審核日期 2001-6-15
推文 facebook   plurk   twitter   funp   google   live   udn   HD   myshare   reddit   netvibes   friend   youpush   delicious   baidu   
網路書籤 Google bookmarks   del.icio.us   hemidemi   myshare   

若有論文相關問題,請聯絡國立中央大學圖書館推廣服務組 TEL:(03)422-7151轉57407,或E-mail聯絡  - 隱私權政策聲明