Analytical Study on Response Power Spectral Density of Structures Subjected to Nonstationary Excitation Considering Transient Responses
Publication: Journal of Engineering Mechanics
Volume 150, Issue 1
Abstract
Computing the response power spectral densities (PSDs) of structures from the excitation PSDs has always been a classical problem in structural random vibration. Conventional analytical methods ignore the frequency characteristics of the transient response and therefore yield an incomplete solution. An analytical solution is needed for the structural response PSDs induced by nonstationary excitations with slow-varying time modulation functions considering the transient response. Decomposing nonstationary stochastic excitation as a series of single-frequency excitations, the analytical solutions of the transient and the steady-state responses are derived. The total analytical solutions of the response PSDs are therefore established for single-degree-of-freedom (SDOF) and multidegree-of-freedom (MDOF) systems. Numerical examples validate that the proposed method can yield response PSDs with both the transient-state and the steady-state components. The proposed method can accurately compute time-varying response PSDs of structures subjected to short-duration nonstationary excitations.
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Data Availability Statement
The information of the models used in the analyses has been already provided in this paper. The analysis data that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The work of this paper is financially supported by the National Natural Science Foundation of China (Grant No. 51838006).
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Published In
Journal of Engineering Mechanics
Volume 150 • Issue 1 • January 2024
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Dec 17, 2022
Accepted: Sep 21, 2023
Published online: Nov 11, 2023
Published in print: Jan 1, 2024
Discussion open until: Apr 11, 2024
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