Reliability Analysis Models for Multi-Crack Structure
-
摘要: 为了对含多裂纹结构的可靠性进行评估,在疲劳多裂纹扩展随机模型的基础上,建立了含多裂纹结构的可靠性分析模型.结构的可靠度是控制裂纹扩展的多维随机变量落在等寿命曲面(线)与坐标面(轴)围起的范围内的概率,即多维随机变量的概率密度函数在等寿命曲面(线)与坐标面(轴)围起的范围内的积分.针对较为简单的情况,建立了完全积分可靠性模型;针对复杂结构但各条裂纹扩展特性相差不大的情况,建立了简化串联可靠性模型;针对复杂结构各条裂纹扩展特性相差较大的情况,建立了修正简化串联可靠性模型.考虑结构可靠性的粗略分析,给出了可靠度的上限值.结合多裂纹扩展随机模型给出了算例.Abstract: Reliability analysis models for multi-crack structure are established in this paper. These models are based on the FMPRM(Fatigue Multi-crack Propagation Random Model) and can be used to evaluate the multi-crack structural reliability. The structural reliability is the probability that the multivariate random variability controlling the crack propagation falls into a range from the equal-life curved surface(curve) to the coordinate surface(axis). It's equal to the integrity of the probability density function of the multivariate random variability in the same range. Three models are established corresponding to different conditions: CIRM(Complete Integral Reliability Model) for simple case, SSRM(Simplistic Series Reliability Model) for complex structure with small difference to each crack propagation behavior and MSSRM(Modified Simplistic Series Reliability Model) for complex structure with large difference to each crack propagation behavior. Finally, two illustrative examples are presented along with the FMPRM to illustrate the reliability.
-
1. 张建宇. 含多裂纹结构的概率损伤容限分析方法研究:[学位论文]. 北京:北京航空航天大学飞行器设计与应用力学系,1997 2. 费斌军,高镇同. 随机谱载荷下含多裂纹结构的概率断裂力学可靠性模型. 航空学报,1993,14(3):A211~A214 3. 费斌军, 童明波, 刘文,王廷. 含多裂纹结构的概率损伤容限评定方法.航空学报,1995,16(2):137~142 4. 童明波. 概率损伤容限评定与可靠性研究:[学位论文]. 北京:北京航空航天大学飞行器设计与应用力学系,1995 5. Provan J W .Probabilistic fracture mechanics and reliability. Boston :Martinns Nijhoff Publishers, 1987
点击查看大图
计量
- 文章访问数: 2607
- HTML全文浏览量: 52
- PDF下载量: 662
- 被引次数: 0