TY - GEN
T1 - Reliability analysis of multidisciplinary systems by using chi-squared distributions
AU - Liu, Jihong
AU - An, Xiangnan
PY - 2013
Y1 - 2013
N2 - To improve the accuracy of reliability analysis in the multidisciplinary systems, a novel multidisciplinary reliability analysis method using a quadratic polynomial approximation and the chi-squared distributions is proposed in this paper. This method integrates the system analysis, sensitivity analysis, polynomial approximation and reliability analysis. The limit-state function is described by a quadratic polynomial function which can be transformed into a linear polynomial with the combination of chi-square variables by using an orthogonal transformation. Then, the probability of failure is a numerical integration of the joint Probability Density Function (PDF) over the linear failure area. By using the quadratic approximation and the chi-squared distributions, the proposed method is more accurate than the First Order Reliability Method (FORM). The effectiveness of the proposed method is demonstrated with two numerical examples.
AB - To improve the accuracy of reliability analysis in the multidisciplinary systems, a novel multidisciplinary reliability analysis method using a quadratic polynomial approximation and the chi-squared distributions is proposed in this paper. This method integrates the system analysis, sensitivity analysis, polynomial approximation and reliability analysis. The limit-state function is described by a quadratic polynomial function which can be transformed into a linear polynomial with the combination of chi-square variables by using an orthogonal transformation. Then, the probability of failure is a numerical integration of the joint Probability Density Function (PDF) over the linear failure area. By using the quadratic approximation and the chi-squared distributions, the proposed method is more accurate than the First Order Reliability Method (FORM). The effectiveness of the proposed method is demonstrated with two numerical examples.
KW - chi-square distributions
KW - quadratic polynomial approximation
KW - reliability analysis
KW - system sensitivity analysis
UR - https://www.scopus.com/pages/publications/84901950674
U2 - 10.1109/FSKD.2013.6816215
DO - 10.1109/FSKD.2013.6816215
M3 - 会议稿件
AN - SCOPUS:84901950674
SN - 9781467352536
T3 - Proceedings - 2013 10th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2013
SP - 321
EP - 326
BT - Proceedings - 2013 10th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2013
PB - IEEE Computer Society
T2 - 2013 10th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2013
Y2 - 23 July 2013 through 25 July 2013
ER -