Open AccessStructural reliability analysis with temporal and spatial variations based on polynomial chaos expansion
Author(s) -
Hang Nan,
Hong Shuang Li,
Cai Jun Xue
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1043/4/042020
Subject(s) - polynomial chaos , sequential quadratic programming , reliability (semiconductor) , monte carlo method , trajectory , mathematical optimization , hypersurface , extreme value theory , polynomial , computer science , mathematics , domain (mathematical analysis) , algorithm , quadratic equation , quadratic programming , statistics , mathematical analysis , geometry , physics , power (physics) , quantum mechanics , astronomy
Performance of engineering structures varies with time and space due to the uncertainties in time and space domain. This paper presents a polynomial chaos expansion (PCE) based method to evaluate the reliability problem with temporal and spatial variations. The sequential quadratic programming (SQP) is employed to obtain the samples of spatial response extreme value at discrete time instants, and then the surrogate model of spatial response extreme value can be constructed by PCE based on those samples. Therefore, the structural response hypersurface in time and space domain is transformed into a trajectory of spatial response extreme value in time domain and the reliability analysis can be achieved by Monte Carlo simulation (MCS). Three examples are used to demonstrate the performance of the presented method in accuracy and efficiency.