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Method for Random Vibration of Hysteretic Systems
Abstract
Based on a Markov-vector formulation and a Galerkin solution procedure, a new method of modeling and solution of a large class of hysteretic systems (softening or hardening, narrow or wide-band) under random excitation is proposed. The excitation is modeled as a filtered Gaussian shot noise allowing one to take the nonstationarity and spectral content of the excitation into consideration. The solutions include time histories of joint density, moments of all order, and threshold crossing rate; for the stationary case, autocorrelation, spectral density, and first passage time probability are also obtained. Comparison of results of numerical example with Monte-Carlo solutions indicates that the proposed method is a powerful and efficient tool.
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Citations
Cited by
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Semi-active control systems for seismic protection of structures: a state-of-the-art review
Symans, M. D., & Constantinou, M. C. (1999) · Engineering Structures · doi:10.1016/s0141-0296(97)00225-3 · Cited by 706
Shape‐Memory Alloys as New Materials for Aseismic Isolation
Graesser, E. J., & Cozzarelli, F. A. (1991) · Journal of Engineering Mechanics · doi:10.1061/(asce)0733-9399(1991)117:11(2590 · Cited by 414
Lai, Z., & Nagarajaiah, S. (2019) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2018.08.033 · Cited by 134
Optimum design of linear tuned mass dampers for structures with nonlinear behaviour
Sgobba, S., & Marano, G. C. (2010) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2010.01.009 · Cited by 128
Metadata
- Authors
- Wen, Y.-K.
- Venue
- Journal of the Engineering Mechanics Division
- Published
- 1976-04
- Volume
- 102
- Issue
- 2
- Pages
- 249-263
- ISSN
- 0044-7951 (ISSN-L)
- 2690-2427
- OpenAlex
- W1508147193
- Cited by
- 2,668
- References
- 0
- FWCI
- 2.90
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wen, Y.-K. (1976). Method for Random Vibration of Hysteretic Systems. Journal of the Engineering Mechanics Division. https://doi.org/10.1061/jmcea3.0002106
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