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结合准静态挠度区间包络面的区间可靠度评估
Interval Reliability Evaluation Using Quasi‑static Deflection Interval Enveloping Surface
  
DOI:10.16450/j.cnki.issn.1004-6801.2022.03.002
中文关键词:  准静态挠度曲面  准静态挠度区间包络面  准静态区间功能函数  准静态区间可靠度指标
英文关键词:quasi-static deflection surface  quasi-static deflection interval enveloping surface  quasi-static interval performance function  quasi-static interval reliability index
基金项目:国家自然科学基金资助项目(51578158);福州大学贵重仪器设备开放测试基金资助项目(2020T036)
作者单位
方圣恩1,2 (1.福州大学土木工程学院 福州350108)(2.福州大学土木工程防震减灾信息化国家地方联合工程研究中心 福州350108) 
黄继源1 (1.福州大学土木工程学院 福州350108) 
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中文摘要:
      由于在实际工程中难以获取结构随机参数充分的概率信息,动态荷载也增加了概率可靠度评估的难度,因此将移动荷载简化为准静态荷载,结合挠度曲线和位移影响线提出了准静态挠度曲面的概念,通过虚功原理推导挠度曲面的力学表达式。采用区间变量体现结构几何尺寸、材料特性与外荷载的不确定性,将挠度曲面拓展为准静态挠度区间包络面。以简支钢箱梁为例,根据梁的实测准静态挠度曲面与区间包络面之间的关系,提出了一种准静态区间可靠度指标,以评估梁损伤前后的可靠度。分析结果表明,准静态挠度区间包络面可以有效考虑结构参数与荷载的不确定性,同时区间可靠度指标值随着箱梁损伤程度的增加而降低。
英文摘要:
      It is practically difficult to collect sufficient probability information for structural random variables. Moreover, actual dynamic loads also increase the difficulty in probability-based reliability evaluation. Therefore, dynamic loads are first simplified into quasi-static loads. Then a new concept of quasi-static deflection surface has been proposed based on the concepts of quasi-static deflection curves and displacement influence lines commonly-used in the civil engineering realm. The mathematical expressions of deflection surfaces are then deduced using the principle of virtual work. Uncertainties in the geometrical dimensions, material properties and external loads of a structure are reflected by interval variables, by which means a quasi-static deflection surface is extended to a quasi-static deflection interval enveloping surface. After that, an experimental simply supported steel box beam has been taken as an example for validation. A quasi-static interval reliability index is proposed according to the relationship between the measured deflection surface of the beam and its deflection interval enveloping surface. The reliability of the beam before and after damage can be evaluated using the interval reliability index. The analysis results demonstrate that the uncertainties in both structural parameters and loads can be effectively considered in the quasi-static deflection interval enveloping surface, and the interval reliability index decreases with the damage severity increase of the beam.
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