Structural reliability analysis based on interval analysis method in statistical energy analysis framework

The high-frequency vibration often happens in the aerospace and shipping field, and the durative high-frequency vibration will affect the work of engineering structures. It is very worth studying the structural reliability caused by high-frequency vibration, and the reliability analysis is an effective method to evaluate the structural safety level. So far, the research on structural reliability analysis in the high-frequency range is very few, and the aim of this paper is to provide a new method by which the structural security level in the high-frequency range can be evaluated. To begin with, the statistical energy analysis (SEA) parameters with measurement errors are represented by the interval variables consisting of the lower bound and upper bound, and the power balance equation with parameter intervals and input power intervals is established. Next, the modal energy interval of each subsystem is obtained by the interval analysis method. Finally, the performance function that can be used to evaluate the structural security level is provided. A simplified rocket fairing structure and a seven-plate coupling structure are respectively used as examples to demonstrate the usefulness of the presented method.