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    題名: 以逆可靠度分析解穩健設計最佳化
    其他題名: Reliability based robust design optimization using performance measure approach
    作者: 楊家鵬;Yang, Jai-pon
    貢獻者: 淡江大學機械與機電工程學系碩士班
    史建中
    關鍵詞: 合理性穩健;目標性能穩健;全面穩健設計最佳化;feasibility robustness;performance robustness;total robustness
    日期: 2010
    上傳時間: 2010-09-23 17:37:11 (UTC+8)
    摘要: 本文探討可靠度基的設計最佳化(Reliability Based Design Optimization ,RBDO)含不確定的統計資訊,以變異球體來描述相關聯性的分佈狀態,及以逆可靠度分析,應用到RBDO及全面穩健設計最佳化,發展設計流程及技術。
    在不考慮可靠度之結構最佳化設計時,雖然可以得到夠強度的結構設計,但是此結果的可靠度機率可能偏低,亦不是穩健的設計結果。所以在設計之時,同時考慮提高滿足設計限制的合理性,減少目標性能之變異,最大化系統可靠度及最佳化原有設計之性能目標值,稱為全面穩健最佳化設計。
    為了達到全面穩健最佳化設計,需先訂定極限狀態函數,使用逆可靠度分析進行RBDO。再觀察不合理的限制條件,使用變異球體模態的方法來進行合理化修正求解,接著探討最小化目標性能變異之設計,再結合修正不合理的限制條件,進行RBDO,即完成全面穩健最佳化設計。工程結構例題說明本文所提設計方法技術之正確及實用。
    In general, a reliability-based design optimization (RBDO) problem contains the system reliability consideration of optimizing design goal subject to design constraints. Due to the uncertainty of random variables and/or random parameters, the final design may have a low possibility of satisfying constraints. In other word, once the design closes to constrained boundary (means active constraint), it may have a high possibility in infeasible region. This thesis applies a variation sphere transformation that moves the feasibility boundary to promote the feasibility of active constraints. The complete design process is called
    the RBDO considering feasibility robustness (RBDO-FR).
    Due to the uncertainty of random variables and/or random parameters, the final design may also have a wide distribution of design goal performance. In other word, the larger deviation of performance is not a result of robust performance. This thesis applies a variation sphere transformation, two-level factorial experiment and Takuchi three-point approximation to estimate the variation. We minimize the performance variation so that the complete design process is called the RBDO
    considering performance robustness (RBDO-PR).
    Base on the consideration of RBDO-FR and RBDO-PR, it is obviously to take into account a RBDO problem simultaneously contain both feasibility robustness and performance robustness. Thus, a RBDO with total robustness (RBDO-TR) is the main development in this thesis. The whole integrated design process of RBDO-TR is presented with some illustrative examples and engineering design. In the development, the performance measure approach (PMA) is applied for the structural
    reliability analysis.
    顯示於類別:[機械與機電工程學系暨研究所] 學位論文

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