TY - JOUR AU - Hung, Luu Xuan PY - 2000/12/30 Y2 - 2024/03/29 TI - Analysis of exceedance probability of displacement response of randomly nonlinear structures JF - Vietnam Journal of Mechanics JA - Vietnam J. Mech. VL - 22 IS - 4 SE - Research Article DO - 10.15625/0866-7136/9978 UR - https://vjs.ac.vn/index.php/vjmech/article/view/9978 SP - 212-224 AB - <p>The paper presents the estimation of the exact exceedance probability (EEP) of stationary responses of some white noise-randomly excited nonlinear systems whose exact probability density function can be known. Consequently, the approximate exceedance probabilities (AEPs) are evaluated based on the analysis of equivalent linearized systems using the traditional Caughey method and the extension technique of LOMSEC. Comparisons of the AEPs versus the EEP are demonstrated. The obtained results indicate important characters of the exceedance probability (EP) as well as the influence of nonlinearity over EP. The evaluation of the applied possibility of the proposed linearization techniques for estimating AEPs are made.</p> ER -