Reliability Analysis of Random Multi-Degree-of-Freedom Nonlinear Vibration Systems

摘要

The reliability analysis of uncertain multi-degree-of-freedom nonlinear vibration systems subjected to random excitation is examined. Statistical fourth moment method is developed to determine first four moments of system response and state function. Probability density function of the system state function is approximately determined using Gram-Charlier series technique, the maximum entropy method, and incomplete probability information theory. The reliability is obtained.