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Non-deterministic fatigue life analysis using convex set models

查看全文 作  者:SUN [1]WenCai;YANG [1]ZiChun;LI [1]KunFeng 高影响力作者 机构地区:[1]College of Power Engineering, Naval University of Engineering高影响力机构 出  处:《Science China(Physics,Mechanics & Astronomy)》索引2013年第56卷第4期,共10页高影响力期刊 基  金:supported by the Program for New Century Excellent Talents in University of China;the Advanced Research Foundation of China (Grant No. 9140A27050109JB1112) 摘  要:The non-probabilistic approach to fatigue life analysis was studied using the convex models-interval, ellipsoidal and multiconvex models. The lower and upper bounds of the fatigue life were obtained by using the second-order Taylor series and Lagrange multiplier method. The solving process for derivatives of the implicit life function was presented. Moreover, a median ellipsoidal model was proposed which can take into account the sample blind zone and almost impossibility of concurrence of some small probability events. The Monte Carlo method for multi-convex model was presented, an important alternative when the analytical method does not work. A project example was given. The feasibility and rationality of the presented approach were verified. It is also revealed that the proposed method is conservative compared to the traditional probabilistic method, but it is a useful complement when it is difficult to obtain the accurate probability densities of parameters. 关 键 词:疲劳寿命分析 凸集模型 非确定性 LAGRANGE乘子法 蒙特卡罗方法 概率方法 椭球模型 小概率事件
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