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• W2074746178 abstract "A nongeometric approach for defining spectral characteristics of evolutionary (nonstationary) processes is applied to the transient stochastic response of a simple oscillator with modulated white noise excitation. The first three nonstationary spectral characteristics of the response are considered. Although the nongeometric spectral characteristics can generally be defined as integrals of the one-sided evolutionary auto- and cross-spectra of the nonstationary process and its derivatives, the study exploits their time-domain definitions as the variances and the covariance of the response and an “auxiliary” process. The approach is applied to three particular excitation functions which have simple analytical forms. Each of these functions has been frequently studied in the past, and/or has potential for use in modeling a variety of practical engineering problems. Approximate expressions for the first three spectral characteristics of the response are developed by neglecting small oscillatory terms. Based on these expressions, approximations are derived for the central frequency and the bandwidth factor of the response." @default.
• W2074746178 created "2016-06-24" @default.
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• W2074746178 date "1999-09-01" @default.
• W2074746178 modified "2023-09-30" @default.
• W2074746178 title "Spectral characteristics of nonstationary random processes—response of a simple oscillator" @default.
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• W2074746178 doi "https://doi.org/10.1016/s0167-4730(99)00019-3" @default.
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