Performance analysis of global local mean square error criterion of stochastic linearization for nonlinear oscillator

Luu Xuan Hung, Nguyen Cao Thang
Author affiliations


  • Luu Xuan Hung Hanoi Metropolitan Rail Board, Vietnam
  • Nguyen Cao Thang Institute of Mechanics, VAST, Hanoi, Vietnam



probability, random, frequency response function, iteration method, mean square


The paper presents a performance analysis of global-local mean square error criterion of stochastic linearization for some nonlinear oscillators. This criterion of stochastic linearization for nonlinear oscillators bases on dual conception to the local mean square error criterion (LOMSEC). The algorithm is generally built to multi-degree of freedom (MDOF) nonlinear oscillators. Then, the performance analysis is carried out for two applications which comprise a rolling ship oscillation and two-degree of freedom one. The improvement on accuracy of the proposed criterion has been shown in comparison with the conventional Gaussian equivalent linearization (GEL).


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Research Article