Structural system reliability analysis based on multi-modal optimization and saddlepoint approximation

Abstract

This paper studies reliability analysis of structures with multiple failure modes. The analysis consists of three parts. First, the memetic animal migration optimization algorithm, applied for multiple optimum points detection in a multimodal optimization problem, is used to search for the most probable points of the limit state functions of main failure modes. Next, the multi-point first-order reliability method is used to estimate the failure probability of structures with multiple failure modes. Last, the saddlepoint approximation based second-order reliability method is further extended to system reliability analysis, aiming to improve the accuracy of system reliability prediction.

Keywords:

• Structural system reliability
• second-order reliability method
• multi-modal optimization
• saddlepoint approximation
• most probable point

Acknowledgement

The authors gratefully acknowledge the support of National Natural Science Foundation of China (51975110), Liaoning Revitalization Talents Program (XLYC1907171) and Fundamental Research Funds for the Central Universities (N2003005).

Additional information

Funding

The authors gratefully acknowledge the support of National Natural Science Foundation of China (51975110), Liaoning Revitalization Talents Program (XLYC1907171) and Fundamental Research Funds for the Central Universities (N2003005).