可靠度分析應用於力學問題

可靠度的目的是確保在規定的環境條件下，結構能充分地執行其預期的功能。本文提出了一種依據可靠度設計的機械問題。依據可靠度設計是很重要的，特點是降低故障發生的機率以獲得最佳的設計。從擾動法技巧，二階矩陣法和蒙地卡羅模擬法,都是採用直接計算可靠度以及可靠性靈敏度的方法。原先隨機變數的概率特徵條件被稱為常態分配。在本論文中,可靠度和可靠性靈敏度分析,使用的各種方法,可以準確且快速的取得所有機械問題。

關鍵字

攝動方法；可靠性穩健設計；一次二階矩法；蒙地卡羅模擬法；可靠性靈敏度

並列摘要

The goal of reliability is to assure that a structure adequately performs its intended function when operating under specified environmental conditions. This paper presents a reliability based design for mechanical problems. The reliability based design is important to obtain optimal design characterized by low probability of failure. Techniques from perturbation method, reliability based robust design, the second moment method and Monte Carlo simulation method are employed directly to calculate the reliability as well as the reliability sensitivity. The conditions of probabilistic characteristics of original random variables are known as arbitrary distribution. The respective programs can be used to obtain the reliability and reliability sensitivity of all mechanical problems in this thesis accurately and quickly.

並列關鍵字

perturbation method ； reliability based robust design ； second moment method ； Monte Carlo simulation method ； reliability sensitivity

參考文獻

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[3] Benaroya, H. and Rebak, M. Finite element methods in probabilistic structural analysis: a selective review. Appl. Mech. Rew., 1988, 41, 201-213.

[4] Zhang,Y.M., Chen, S. H., Liu, Q. L. and Liu, T. Q. Stochastic perturbation finite elements. Comput. Struct., 1996, 59(3), 425-429.

[5] Zhang, Y. M., Wen, B. C. and Chen, S. H. PFEM formalism in Kronecker notation. Math. Mechs Solids, 1996, 1(4), 445-461.

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可靠度分析應用於力學問題

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