簡易檢索 / 詳目顯示

研究生: 葉政錫
Yeh, Cheng-Hsi
論文名稱: 二階可靠度逼近法於船舶結構可靠度之研究
A Study of the Ship Structural Reliability Based on the Second-Order Reliability Approximation
指導教授: 楊澤民
Yang, Joe-Ming
學位類別: 碩士
Master
系所名稱: 工學院 - 造船及船舶機械工程學系
Department of Systems and Naval Mechatronic Engineering
論文出版年: 2003
畢業學年度: 91
語文別: 中文
論文頁數: 100
中文關鍵詞: 正規化二階可靠度一階可靠度
外文關鍵詞: SORM, Reliability, FORM
相關次數: 點閱:61下載:2
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 本研究主要目的是在探討二階可靠度(SORM)逼近法於船體結構可靠度之適用性與精確度評估。對於造船與海洋工程上的大型且複雜結構物而言,其所面臨的海洋環境具有高度的不確定性與複雜性,因此船體所受的外在負荷與結構強度參數是呈非線性狀態,使得可靠度中之統御函數為非線性,當破壞面之曲率較大或曲率半徑較小時,以線性方程式來近似破壞曲面中之最可能破壞點的一階可靠度方法就變的相當不精準。利用二階可靠度逼近法來改善一階可靠度法的精確性,使可靠度分析不再受困於小曲率和隨機變數少時才可求解的限制,提高可靠度的適用範圍。
    本文是針對二艘實船利用經驗公式來求取船舶之極限強度,再以經驗二階可靠度方法與多設計點可靠度方法,來進行一階與二階可靠度分析,並且交叉比較以期在進行可靠度分析時能夠獲得更加準確及可信的結果。

    None

    摘要…………………………………………………………………Ⅰ 致謝…………………………………………………………………Ⅱ 目錄…………………………………………………………………Ⅲ 表目錄………………………………………………………………Ⅵ 圖目錄………………………………………………………………Ⅷ 符號說明……………………………………………………………Ⅹ 第一章 緒論……………………………………………………1 1.1研究動機………………………………………………………1 1.2文獻回顧………………………………………………………2 1.3 本文架構………………………………………………3 第二章 船體各項極限強度之研究………………………………5 2.1 前言……………………………………………………5 2.2 船體之極限強度………………………………………6 2.2.1極限強度之分析……………………………………………7 2.2.2極限彎曲強度………………………………………………8 2.2.3剖面模數……………………………………………………11 2.3整體破壞模式…………………………………………………11 2.3.1全塑性破壞…………………………………………………11 2.3.2初始降伏……………………………………………………13 2.3.3船殼格架失穩破壞…………………………………………13 2.4挫曲破壞模式…………………………………………………14 2.4.1介於加強材間板之挫曲破壞………………………………15 2.4.2加強材之彎曲挫曲破壞……………………………………17 2.4.3加強材之彎曲/扭曲挫曲………………………………… 18 2.4.4全格架之挫曲破壞…………………………………………20 2.5波浪負荷………………………………………………………21 2.5.1靜水彎矩……………………………………………………21 2.5.2波浪彎矩……………………………………………………22 第三章 可靠度理論與應用……………………………………25 3.1 前言………………………………………………………… 25 3.2不確定因子的量化……………………………………………25 3.2.1不確定因子…………………………………………………25 3.2.2不確定因子的類型…………………………………………26 3.3 結構可靠度………………………………………………… 27 3.4 安全餘裕…………………………………………………… 30 3.5極限狀態函數…………………………………………………31 3.6基本隨機變量的轉換…………………………………………33 3.6.1常態分佈……………………………………………………33 3.6.2對數常態分佈………………………………………………35 3.6.3等效常態分佈………………………………………………35 3.7一階可靠度與二階可靠度理論………………………………37 3.7.1一階可靠度…………………………………………………38 3.7.2二階可靠度…………………………………………………41 第四章 結構可靠度方法簡介與利用……………………………44 4.1前言……………………………………………………………44 4.2一階可靠度的介紹……………………………………………44 4.3二階可靠度的介紹……………………………………………45 4.3.1二階可靠度簡單近似法……………………………………45 4.3.2經驗二階可靠度……………………………………………46 4.3.3經驗二階可靠度計算流程…………………………………48 4.3.4多設計點可靠度……………………………………………49 第五章 二階可靠度實例計算結果與討論…………………… 54 5.1前言……………………………………………………………54 5.2經驗二階可靠度之研究………………………………………54 5.3 多設計點可靠度之研究…………………………………… 58 5.4實船分析結果與討論…………………………………………61 5.4.1 26萬噸油輪之實船可靠度分析………………………… 61 5.4.2 175700噸散裝貨輪之實船可靠度分析………………… 68 第六章 結論……………………………………………………74 參考文獻………………………………………………………… 76 附錄A 波浪彎矩之計算………………………………………79 附錄B 加強格板極限壓縮強度的計算………………………87

    【1】Breitung, K., “Asymptotic approximation for multi-normal integer,” J. Engrg. Mech., ASCE, 110(3), 357-366,1984

    【2】Caldewll, J. B., “Ulitimate Longitudinal Strength,” Transactions, Royal Institution of Naval Architects, Vol. 107, 1965.

    【3】Chao, R. J., and Ayyub, B. M., “Reliability and Uncertainty Evalution for Longitudinal Bending of Hull Girders of Surface Ships,” Journal of Ship Research, Vol. 41, No. 1, pp. 57-68, March, 1997.

    【4】Der Kiureghian, A., Lin, H. Z., and Hwang, S. J., “Second-order reliability approximations,” J. Engrg. Mech., ASCE, 113(8), 1208-1225, 1987

    【5】Der Kiureghian, A., and De Stefano, M., “Efficient algorithm for second-order reliability analysis,” J. Engrg. Mech., ASCE,117(12), 2904-2923, 1991

    【6】Der Kiureghian, A., and Dakessian, T.,“Multiple design points in first and second-order reliability,” Structural Safety, Vol. 20, 1998, pp. 37-49.

    【7】Fiessler. B., Neumann, H. –J, and Rackwitz, R., “quadratic limit state in structural reliability,” J. Engrg. Mech., ASCE, 105(4), 661-676, 1979

    【8】Hasofer, A. M., and Lind, N. C., “Exact and Invariant Second-moment Code Format,” Journal of Engineering Mechanics, ASCE, Vol. 100, No. EMI, pp. 111-121, Feb., 1974.

    【9】Hohenbichler, M., and Rackwitz, R., “Improvement of second-order reliability estimates by importance sampling,” J. Engrg. Mech., ASCE, 114(12), 2195-2199,1988

    【10】Loukakis, T. A., and Chryssostomos Chryssostomidis, “Seakeeping Standard Series for Cruiser-stern ships,” Trans. SNAME, Vol. 83, pp67-127, 1975.

    【11】Mansour, A. E., “Methods of Computing the Probability of Failure Under Extreme Values of Bending Moment,” J. Ship Research, Vol. 16, No. 2, pp. 113-123, June, 1972.

    【12】Mansour, A. E., “An Introduction to Structural Reliability Theory,” Ship Structure Committee Report, SSC-351,Dec., 1986.

    【13】Mansour, A. E., “Extreme Value Distributions of Wave Loads and Their Application to Marine Structures,” Proceedings, Marine Structural Reliability Symposium, Arlington, Va., Oct., 1987.

    【14】Mansour, A. E., Yang, J. M. and Thayamballi, A., “An Experimental Investigation of Ship Hull Ultimate Strength,” Transactions SNAME, pp. 411-439, 1990.

    【15】Mansour, A. E., and Hovem L., “Probability Based Ship Structural Safety Analysis,” Journal of Ship Research, Vol. 38, No. 4, pp. 329-339, Dec., 1994.

    【16】Nitta, A., Arai, H. and Magaino, A., “Basic of IACS unified longitudinal strength standard,” Marine structures, Vol. 5, pp. 1-21,1992

    【17】Murray N. W., “Introduction to the Theory of Thin-Walled Structures,” Oxford Engineering Science Series 13, Clarendon Press, Oxford, pp. 54-135, 1986.

    【18】Paik, J. K., and Lee, J.M., “An empirical formulation for predicting the ultimate compressive strength of plates and stiffened plates” Proceedings of the Seventh International Offshore and Polar Engineering Conference, pp. 328-338, 1997

    【19】Paik, J. K., Thayamballi, A. K. and Che, J. S., “Ultimate Strength of Hulls Under Combined Vertical Bending, Horizontal Bending, and Searing Forces,” Transactions SNAME, Vol. 104, pp. 31-59, 1996.

    【20】Paik, J. K., Kim, S. K., Yang, S. H. and Thayamballi, A. K., ”Ultimate Strength Reliability of Corroded Ship Hulls,” The Royal Institution of Naval Architects, pp. 1-18, 1997.

    【21】Paik, J. K., Thayamballi, A. K., and Yang S. H., ” Residual Strength Assessment of Ship After Collision and Grounding,” Maine Technology,Vol.35,No.1, pp 38-54, Jan.1998.

    【22】Rackwitz, R. and Fiessler, B., “Structural Reliability under Combined Random Load Sequence,” Computers and Structures, Vol. 9, 1978.

    【23】Rahman, M. K., “Applied Probability and Stochastic Process,” In Engineering and Physical Sciences, University of Florida.

    【24】Timoshenko, S. P. and James M. G., ”Theory of Elastic Stability,” McGraw-Hill Press, Second Edition.

    【25】Loukakis, T. A., and Chryssostomos Chryssostomidis, “Seakeeping Standard Series for Cruiser-stern ships,” Trans. SNAME, Vol. 83, pp67-127, 1975.

    【26】Tvedt, L., “Two second-order approximations to the failure probability,” Veritias Rep. RDIV/20-004083, Det norske Veritas, Oslo, 1983

    【27】Tvedt, L., “Second-order reliability by an exact integral,” Proc., 2nd IFIP Working Conf. on reliability and Optimization on Struct. Sys., P. Thoft-Christensen, ed., Springer, New York, 377-384,1988

    【28】Tvedt, L., “Distribution of quadratic forms in normal space application to structural reliability,” J. Engrg. Mech., ASCE, 116(6), 1183-1197, 1990

    【29】Vesta, J., “Lessons Learned from Full-Scale Ship Structural Tests,” SNAME Annual Meeting, pp. 1-39, New York, 1959.

    【30】Zhao, T. G., and Ono, T., “New approximation for SORM: Part 1, ”. Engrg. Mech., ASCE, 125(1),79-85,1999

    【31】Zhao, T. G., and Ono, T., “New approximation for SORM: Part 2, ”. Engrg. Mech., ASCE, 125(1),86-93,1999

    【32】洪振發, 李昱君, “多破壞模式之結構系統可靠度,” 國立台灣大學造船及海洋工程學研究所, NTU-NAOE-Tech.Report 464, June, 1994

    【33】張士祥 “運用極限強度觀念於板架結構系統可靠度分析, ” 國立成功大學造船及船舶機械工程研究所, 碩士論文, 中華民國88年6月

    【34】陳俊達, “船舶結構受創後之剩餘強度與可靠度分析, ” 國立成功大學造船及船舶機械工程研究所, 碩士論文, 中華民國89年6月

    【35】楊田園, “利用二階可靠度方法進行船體縱向結構可靠度分析, ” 國立成功大學造船及船舶機械工程研究所, 碩士論文, 中華民國91年7月

    下載圖示 校內:2004-08-06公開
    校外:2004-08-06公開
    QR CODE