Multiple correlation-equivalent plane method for calculating structural system reliability

To improve the precision of equivalent plane method used to calculate structural system reliability, the concept of multiple correlation was adopted to structural reliability analysis, and multiple correlation-equivalent plane method was presented. With the multiple correlation coefficients which express the correlation between equivalent plane and other limit state surfaces, this method solves the problem that equivalent principles of equivalent plane method don´t include correlation. The comparison with numerical integration and Monte Carlo method indicates that this method is suitable for calculating large structural system reliability. Meanwhile, it has higher accuracy and can meet precision requirement for actual engineering application.