Summary of Mechanical engineering and Engineering mechanics doctoral dissertation: Research on non-linear random vibration by the global – local mean square error criterion

Propose the global – local mean square error criterion (GLOMSEC) for Gaussian equivalent linearization method (GEL) for randomly excited MDOF nonlinear system subjected to white noise or color noise excitation. The mean square of response solution will be concentrated to evaluate the accuracy of the proposed criterion by comparison with exact solution or other accepted solutions.