Random vibration systems with weakly correlated random excitation (Q2746102)
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scientific article; zbMATH DE number 1655527
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Random vibration systems with weakly correlated random excitation |
scientific article; zbMATH DE number 1655527 |
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17 November 2002
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random vibration systems
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weakly correlated random excitation
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Random vibration systems with weakly correlated random excitation (English)
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The authors consider a system of random linear ordinary differential equations \(\dot y= Ay+x\) with a deterministic constant matrix \(A\), which is assumed to be stable and a centered wide-sense stationary random process \(x\). Then a wide-sense stationary random solution process NEWLINE\[NEWLINEy(t)= \int^\infty_0 \exp(Au)x(t- u) du,NEWLINE\]NEWLINE exists. Here, the case of an \(\varepsilon\)-correlated random excitation \(x(s)= {^\varepsilon f(s)}\) is treated.
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0.7614946961402893
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