Abstract
In this work, the fourth-moment method and the higher-order unscented transformation is combined to calculate the failure probability. The higher-order unscented transformation is used to efficiently estimate the first four moments of the limit-state function, and then the fourth-moment method is used to estimate the failure probability. Compared with the traditional first-order and second-order reliability methods, the proposed method is not required to find the design point, and it is also not required to calculate the derivatives. Compared with the three-point estimation method, the proposed method has a good accuracy and lower computational cost. The numerical and engineering examples show the accuracy and efficiency of the proposed method.
| Original language | English |
|---|---|
| Article number | 04017034 |
| Journal | ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering |
| Volume | 4 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Mar 2018 |
Keywords
- Failure probability
- Higher-order unscented transformation
- Moment methods
- Probability moments