TY - JOUR
T1 - An improved high-order statistical moment method for structural reliability analysis with insufficient data
AU - Zhang, Tianxiao
AU - He, David
N1 - Publisher Copyright:
© 2017, © IMechE 2017.
PY - 2018/3/1
Y1 - 2018/3/1
N2 - The fourth-order moment method for reliability analysis of structural systems can be practically applied to effectively address the problem of reliability calculation and analysis with insufficient probability data. For complicated reliability analysis problems, however, this method can lead to inaccurate and unstable reliability calculation results. In this paper, an improved high-order statistical moment method for structural reliability analysis with insufficient data is presented. The presented method is inferred using the properties of statistical moment of standard normal distribution parameter and therefore is possible to obtain more stable and accurate calculation of the reliability indexes of a structural system with insufficient probability data. Two numerical examples are provided to show the performance of the presented method. The example results have shown that the method proposed in this paper not only improves the calculation accuracy and stability, but also brings the calculation results closer to the project conditions. The developed high-moment method for reliability calculation of structural systems provides a practical and effective theoretical base and technical support for the reliability design of structural systems.
AB - The fourth-order moment method for reliability analysis of structural systems can be practically applied to effectively address the problem of reliability calculation and analysis with insufficient probability data. For complicated reliability analysis problems, however, this method can lead to inaccurate and unstable reliability calculation results. In this paper, an improved high-order statistical moment method for structural reliability analysis with insufficient data is presented. The presented method is inferred using the properties of statistical moment of standard normal distribution parameter and therefore is possible to obtain more stable and accurate calculation of the reliability indexes of a structural system with insufficient probability data. Two numerical examples are provided to show the performance of the presented method. The example results have shown that the method proposed in this paper not only improves the calculation accuracy and stability, but also brings the calculation results closer to the project conditions. The developed high-moment method for reliability calculation of structural systems provides a practical and effective theoretical base and technical support for the reliability design of structural systems.
KW - High-order statistical moment method
KW - insufficient data
KW - kurtosis coefficient
KW - skewness coefficient
KW - structural reliability analysis
UR - https://www.scopus.com/pages/publications/85036604789
U2 - 10.1177/0954406217694662
DO - 10.1177/0954406217694662
M3 - 文章
AN - SCOPUS:85036604789
SN - 0954-4062
VL - 232
SP - 1050
EP - 1056
JO - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
JF - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
IS - 6
ER -