Stochastic linearization critically re-examined

被引:22
作者
Elishakoff, I [1 ]
Colajanni, P
机构
[1] Florida Atlantic Univ, Dept Mech Engn, Boca Raton, FL 33431 USA
[2] Univ Palermo, Dipartimento Ingn Strutturale & Geotecn, I-90128 Palermo, Italy
关键词
D O I
10.1016/S0960-0779(97)00035-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The stochastic linearization technique, widely used for the analysis of nonlinear dynamic systems subjected to random excitations. is revisited. It is shown that the standard procedure universally adopted for determining the so-called effective stiffness of the equivalent linear system is erroneous in all previous publications. Two error-free stochastic linearization techniques are elucidated, namely those based on (1) the force linearization and (2) energy linearization. (C) 1997 Elsevier Science Ltd.
引用
收藏
页码:1957 / 1972
页数:16
相关论文
共 18 条
[1]  
[Anonymous], 1991, APPL MECH REV
[2]  
Bolotin V. V., 1984, RANDOM VIBRATIONS EL, P240
[3]  
Booton R. C., 1953, P S NONL CIRC AN, V2, P341
[4]   EQUIVALENT LINEARIZATION TECHNIQUES [J].
CAUGHEY, TK .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1963, 35 (11) :1706-+
[5]  
ELISHAKOFF I, 1991, COMPUTATIONAL STOCHASTIC MECHANICS, P101
[6]  
Elishakoff I., 1992, Nonlinear stochastic mechanics, P201
[7]  
Kazakov I., 1954, T VOENNO VOZDUSHNOI, V4, P3
[8]  
KOZIN F, 1988, NONLINEAR STOCHASTIC, P45
[9]  
Lin Y.K., 1967, Probabilistic Theory of Structural Dynamics
[10]  
Nigam N.C., 1983, INTRO RANDOM VIBRATI