Equivalent stochastic linearization (ESL) for nonlinear uncertain structure under stationary stochastic
excitation is presented. There are two parts of difference between the original system and equivalent system: one
is caused by the difference between the means of original and equivalent stochastic structure; and another is caused
by the difference between the original and equivalent stochastic structure which has the relation with stochastic
variables. Statistical characteristics of equivalent stochastic structure can be obtained in accordance with mean
square criterion, so nonlinear stochastic structure is transformed into linear stochastic structure. In order to attain
that objective, the compound response spectrum of linear stochastic structure under stationary random excitation
which is used in the solution is derived in the case of the mutual independence between stochastic excitation and
stochastic structure. Finally, the example shows the accuracy and validity of the proposed method.
LIU Yong* (刘 勇), CHEN Lu-yun (陈炉云), YI Hong (易 宏)
. Equivalent Stochastic Linearization for Nonlinear Uncertain Structure Under Stationary Gaussian Stochastic Excitation[J]. Journal of Shanghai Jiaotong University(Science), 2014
, 19(1)
: 123
-128
.
DOI: 10.1007/s12204-014-1480-z
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