Open AccessReliability analysis of double random Duffing system
Author(s) -
Yimin Zhang,
Xufang Zhang
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.3989
Subject(s) - reliability (semiconductor) , edgeworth series , monte carlo method , mathematics , moment (physics) , orthogonal polynomials , computer science , series (stratigraphy) , duffing equation , polynomial chaos , polynomial , statistical physics , mathematical analysis , physics , statistics , nonlinear system , quantum mechanics , paleontology , power (physics) , biology
By using of Gegenbauer orthogonal polynomialsan effective numerical method for the reliability analysis of double random Duffing system with large coefficient of variation is presented. On the basis of the first passage modelthe fourth-moment techniquethe Edgeworth series approximation theory and the orthogonal polynomial expansion method are employed to develop a reliability analysis method systematically. The dynamic reliability and mean reliability of the system is discussed. The results obtained by this method are verified by Monte-Carlo simulations.