TY - JOUR AU - Mario, Di Paola AU - Anh, Nguyen Dong PY - 1993/12/31 Y2 - 2024/03/29 TI - On an extension of the stochastic linearization JF - Vietnam Journal of Mechanics JA - Vietnam J. Mech. VL - 15 IS - 4 SE - Research Article DO - 10.15625/0866-7136/10213 UR - https://vjs.ac.vn/index.php/vjmech/article/view/10213 SP - 1-6 AB - <p>Stochastic linearization method is one of the most useful tools for analysis of nonlinear systems under random excitation. The fundamental idea of the classical stochastic linearization consists in replacing the original nonlinear equation by a linear one in such a way that the difference between two equations is minimized in the mean square value.</p> <p>In this paper a new version of the stochastic linearization is proposed. It is shown that for two nonlinear systems considered the new version gives good results for both the weak and strong nonlinearities.</p> ER -