Response statistics of nonlinear systems to combined deterministic and random excitations (Q802929)

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scientific article; zbMATH DE number 4199743
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Response statistics of nonlinear systems to combined deterministic and random excitations
scientific article; zbMATH DE number 4199743

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    Response statistics of nonlinear systems to combined deterministic and random excitations (English)
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    1990
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    two averaged first-order differential equations
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    linearization
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    Duffing- Rayleigh oscillator
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    second-order closure method
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    sum of a deterministic harmonic component and a random component
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    white noise
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    separable nonstationary random amplitude and phase
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    method of multiple scales
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    stationary mean
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    mean-square response
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    steady-state periodic responses
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    deterministic part of the excitation
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    random part of the excitation
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    stable periodic responses
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    perturbation
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