| Citation: | XIA Jing, YUAN Hongjie, XU Ruyuanet al. A new simulation method of non-Gaussian random vibration signal[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(2): 366-372. doi: 10.13700/j.bh.1001-5965.2018.0299(in Chinese)
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The traditional environmental vibration tests usually assume that the random vibration signal follows Gaussian distribution and power spectral density (PSD) is used as the test conditions, while in practice, lots of vibration excitations to the structure are non-Gaussian distribution and PSD can only describe the low-order statistics of signals but not for the high-order statistics of the non-Gaussian signals such as the kurtosis and skewness. So a method based on amplitude modulation technique (AMT) of window function to generate the non-Gaussian signal with PSD and kurtosis is developed. An approximated simulation method is provided to generate the modulation signal. Two kinds of statistical distribution, Beta and Weibull, are used to construct modulation signal, the relation between target kurtosis and modulation signal distribution parameters is explored, and the suitable kurtosis range of two distributions is discussed. A case study is presented to show that the synthesized non-Gaussian signal has the same PSD, probability density function (PDF), and kurtosis as outfield measured data, which verifies the correctness of the method.
| [1] |
BENDAT S, PIERSOL G.Random data: Analysis and measurement procedures[M]. 4th ed.Los Angeles: John Wiley and Sons, Inc., 2010: 1799-1806.
|
| [2] |
VINCENT R.On the non-Gaussian nature of random vehicle vibration[C]//Proceedings of the World Congress on Engineering, 2017, 2: 1219-1224.
|
| [3] |
KNANI K B.Fatigue damage assessment of a car body-in-white using a frequency-domain approach[J]. International Journal of Materials & Products Technology, 2007, 30(1):172-198. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=0e6d735265e2552cf909a936c48c4206
|
| [4] |
ZAKHAROV V E, DYACHENKO A I, PROKOFIEV A O.Freak waves as non-linear stage of Stokes wave modulation instability[J]. European Journal of Mechanics, 2006, 25(5):677-692. doi: 10.1016/j.euromechflu.2006.03.004
|
| [5] |
YI H, BO L.Non-stationary and non-Gaussian characteristics of wind speeds[J]. Wind and Structures, 2017, 24(1):59-78. doi: 10.12989/was.2017.24.1.059
|
| [6] |
STEINWOLF A.Closed-loop shaker simulation of non-Gaussian random vibration.Part 1:Discussion and methods[J]. Test Engineering and Management, 2006, 68(3):10-13.
|
| [7] |
STEINWOLF A.Closed-loop shaker simulation of non-Gaussian random vibration.Part 2:Numerical and experimental results[J]. Test Engineering and Management, 2006, 68(5):14-19.
|
| [8] |
ZHENG R H.Control method for multi-input multi-output non-Gaussian random vibration test with cross spectra consideration[J]. Chinese Journal of Aeronautics, 2017, 30(6):1895-1906. doi: 10.1016/j.cja.2017.10.001
|
| [9] |
YU Y Y.Generation of non-Gaussian random vibration excitation signal for reliability enhancement test[J]. Chinese Journal of Aeronautics, 2007, 20(3):236-239. doi: 10.1016/S1000-9361(07)60038-7
|
| [10] |
蒋瑜, 陶俊勇, 王得志, 等.一种新的非高斯随机振动数值模拟方法[J].振动与冲击, 2012, 31(19):169-173. http://d.old.wanfangdata.com.cn/Periodical/zdycj201219036
JIANG Y, TAO J Y, WANG D Z, et al.A novel approach for numerical simulation of a non-Gaussian random vibration[J]. Journal of Vibration and Shock, 2012, 31(9):169-173(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/zdycj201219036
|
| [11] |
吴家驹, 付玮, 张鹏飞, 等.基于β分布随机数排序的非高斯振动模拟方法[J].强度与环境, 2017, 44(2):10-17. http://d.old.wanfangdata.com.cn/Periodical/qdyhj201702002
WU J J, FU W, ZHANG P F, et al.Simulation method of non-Gaussian vibration base on re-arrangement of β distribution random number[J]. Structure & Environment Engineering, 2017, 44(2):10-17(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/qdyhj201702002
|
| [12] |
XU F.On the shaker simulation of wind-induced non-Gaussian random vibration[J]. Shock and Vibration, 2016, 2016(6):1-10.
|
| [13] |
NEWLAND D E.An introduction to random vibrations and spectral analysis[M]. 2nd ed.New York: Longman Inc., 1984: 1102-1203.
|
| [14] |
SMALLWOOD D O.Vibration with non-Gaussian noise[J]. Journal of the Institute of Environmental Science and Technology, 2009, 52(3):13-20.
|
| [15] |
RIZZI S A, PRZEKOP A, TURNER T L.On the response of a nonlinear structure to high kurtosis non-Gaussian random loadings[C]//The 8th International Conference on Structural Dynamics, 2011: 2697-2704.
|
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