区间过程荷载下不确定性结构非概率时变可靠性分析
提出了一种结构时变可靠性评估的非概率分析框架
引入区间过程来描述时变不确定性荷载
结合非随机振动理论和代理优化，提出了一类区间分析新方法
基于二阶近似推导出结构响应的非概率相关系数 数值算例表明，时变可靠度比传统时不变可靠度具有更高精度
A nonprobabilistic analysis framework for structural time-dependent reliability evaluation is proposed.
The interval process is introduced to describe time-varying uncertain loads.
A novel interval analysis method is developed by combining nonrandom vibration theory and surrogate-based optimization. The nonprobabilistic correlation coefficient of structural response is derived based on second order approximation. Numerical example shows higher accuracy of time-dependent reliability than traditional time-independent reliability.
Fig. 1. Schematic diagram of interval process and its quantification
Fig. 2. Schematic diagram of interval dynamic analysis for uncertain structures
Fig. 3. Flowchart of performing uncertainty propagation analysis for structures with nonprobabilistic uncertainties under time-dependent loads
Fig. 4. Schematical plot for the nonprobabilistic time-dependent reliability analysis
Fig. 5. Schematic plot of linear damped mass-spring system
Fig. 6. Five samples of external force p^I (t)
Fig. 7. Upper and lower bound functions and deterministic responses corresponding to the five external force samples
Fig. 8. Nonprobabilistic correlation coefficients between displacement responses at adjacent time points
Fig. 9. Displacement response bounds of different auto-correlation coefficient functions
Fig. 10. Comparison of the time-dependent reliability results solved by MCS, the proposed method and method in Zhao et al. (2022)
Fig. 11. Time-dependent reliability of MCS, the proposed method and method in Zhao et al. (2022)
Fig. 12. Relative errors of the proposed method and method in Zhao et al. (2022)
Fig. 13. Simplified wing box structure
Fig. 14. Interval process of external load x (t)
Fig. 15. Displacement response bounds of point B
Fig. 16. Nonprobabilistic correlation coefficients between displacement responses at adjacent time points
Fig. 17. Time-dependent reliability results simplified wing box structure
作者信息 | Authors
北京航空航天大学 (Beihang University) 航空科学与工程学院
Email: xjwang@buaa.edu.cn
中国船舶重工集团公司 (Shanghai Marine Equipment Research Institute) 第七0四研究所
中国船舶重工集团公司 (Shanghai Marine Equipment Research Institute) 第七0四研究所
中国船舶重工集团公司 (Shanghai Marine Equipment Research Institute) 第七0四研究所
律梦泽 M.Z. Lyu | 编辑 (Ed)
P.D. Spanos | 审校 (Rev)
陈建兵 J.B. Chen | 审校 (Rev)
彭勇波 Y.B. Peng | 审校 (Rev)
