Page 197 - 《振动工程学报》2025年第8期
P. 197
第 8 期 盛向前,等: 非平稳非高斯随机过程插值模拟方法 1837
tionary spectra for simulation of non‑stationary and non- tion of fully non‑stationary random wind field based on
Gaussian stochastic processes[J]. Computers & Struc‑ reduced 2D Hermite interpolation[J]. Mechanical Sys‑
tures, 2013, 126:149‑163. tems and Signal Processing, 2021, 150:107265.
[7] WU Y X, GAO Y F, ZHANG N, et al. Simulation of [19] 杨雄骏, 黄金山, 张建国, 等 . 基于插值与降维方法的
spatially varying non‑Gaussian and nonstationary seis‑ 输电塔线体系随机脉动风场有效模拟[J]. 振动与冲
mic ground motions by the spectral representation meth‑ 击, 2021, 40(9): 77‑83.
od[J]. Journal of Engineering Mechanics, 2018, 144 YANG Xiongjun, HUANG Jinshan, ZHANG Jian‑
(1):04017143. guo, et al. Effective simulation of stochastic fluctuating
[8] LI B, PENG L L, JIANG Y, et al. Simulation of sta‑ wind field of transmission tower‑line system based on in‑
tionary non‑Gaussian stochastic vector processes using terpolation and dimension reduction method[J]. Journal
an eigenvalue‑based iterative translation approximation of Vibration and Shock, 2021, 40(9): 77‑83.
method[J]. Mechanical Systems and Signal Process‑ [20] JIANG Y, ZHAO N, PENG L L, et al. Fast simula‑
ing, 2022, 175:109128. tion of fully non‑stationary wind fields using a new ma‑
[9] LI Z L, LIU R Y, FAN W L, et al. Simulation of sta‑ trix factorization assisted interpolation method[J]. Me‑
tionary Gaussian/non‑Gaussian stochastic processes chanical Systems and Signal Processing, 2022, 172:
based on stochastic harmonic functions[J]. Probabilistic 108973.
Engineering Mechanics, 2021, 66:103141. [21] 宋玉鹏, 陈建兵, 彭勇波 . 基于波数‑频率联合演变功
[10] FAN W L, TIAN Y, SHENG X Q. Simulation of a 率谱的一维空间非均匀脉动风场模拟[J]. 工程力学,
non‑Gaussian stochastic process based on a combined 2019, 36(2): 205‑214.
distribution of the UHPM and the GBD[J]. Probabilis‑ SONG Yupeng, CHEN Jianbing, PENG Yongbo.
tic Engineering Mechanics, 2023, 72:103438. Simulation of nonhomogeneous fluctuating wind field in
[11] LU Z H, ZHAO Z, ZHANG X Y, et al. Simulating one-dimensional space by evolutionary wavenumber-fre‑
stationary non‑Gaussian processes based on unified Her‑ quency joint power spectrum[J]. Engineering Mechan‑
mite polynomial model[J]. Journal of Engineering Me‑ ics, 2019, 36(2): 205‑214.
chanics, 2020, 146 (7): 04020067. [22] YANG X J, LEI Y. Efficient simulation of wind fields
[12] 李锦华,李春祥,蒋磊,等 .多变量非高斯脉动风压模拟的 based on the factorization of wavenumber‑frequency
非迭代法[J].上海交通大学学报,2017,51(4):462‑469. joint spectrum[J]. Computer‑Aided Civil and Infrastruc‑
LI Jinhua, LI Chunxiang, JIANG Lei, et al. A ture Engineering, 2022, 37(3):370‑385.
non‑iterative approach for simulating multivariate [23] ZHAO Z, LU Z H, ZHAO Y G. Simulating multivari‑
non‑Gaussian fluctuating wind pressure[J]. Journal of ate stationary non‑Gaussian process based on wavenum‑
Shanghai Jiao Tong University, 2017, 51(4): 462‑469. ber-frequency spectrum and unified Hermite polynomial
[13] PHOON K K, HUANG H W, QUEK S T. Simula‑ model[J]. Probabilistic Engineering Mechanics, 2022,
tion of strongly non‑Gaussian processes using Karhunen- 69:103272.
Loeve expansion[J]. Probabilistic Engineering Mechan‑ [24] LI Y, XU J. A PDF discretization scheme in wavenum‑
ics, 2005, 20(2):188‑198. ber-frequency joint spectrum for simulating multivariate
[14] SHIELDS M D, KIM H. Simulation of higher‑order random fluctuating wind fields[J]. Probabilistic Engi‑
stochastic processes by spectral representation[J]. Prob‑ neering Mechanics, 2023, 72:103422.
abilistic Engineering Mechanics, 2017, 47:1‑15. [25] GUPTA I D, TRIFUNAC M D. A note on the nonsta‑
[15] PUIG B, AKIAN J L. Non‑Gaussian simulation using tionarity of seismic response of structures[J]. Engineer‑
Hermite polynomials expansion and maximum entropy ing Structures, 2000, 22(11):1567‑1577.
principle[J]. Probabilistic Engineering Mechanics, [26] CHEN X Z. Analysis of alongwind tall building re‑
2004, 19(4): 293‑305. sponse to transient nonstationary winds[J]. Journal of
[16] SHINOZUKA M, JAN C M. Digital simulation of ran‑ Structural Engineering, 2008, 134(5):782‑791.
dom processes and its applications[J]. Journal of Sound [27] FALSONE G, SETTINERI D. A method for the ran‑
and Vibration, 1972, 25(1): 111‑128. dom analysis of linear systems subjected to
[17] ZHAO N, JIANG Y, PENG L L, et al. Fast simula‑ non‑stationary multi‑correlated loads[J]. Probabilistic
tion of nonstationary wind velocity fields by proper or‑ Engineering Mechanics, 2011, 26(3):447‑453.
thogonal decomposition interpolation[J]. Journal of [28] KIBBLE W F. An extension of a theorem of Mehler’s
Wind Engineering and Industrial Aerodynamics, 2021, on Hermite polynomials[J]. Mathematical Proceedings
219:104798. of the Cambridge Philosophical Society, 1945, 41(1):
[18] TAO T Y, WANG H, ZHAO K Y. Efficient simula‑ 12‑15.

