Stochastic responses of nonlinear systems to nonstationary non-Gaussian excitations

被引：13
|
作者：
Guo, Siu-Siu [1 ]
Shi, Qingxuan [2 ]
Xu, Zhao-Dong [3 ]
机构：
[1] Xian Univ Architecture & Technol, Sch Civil Engn, Inst Mech & Technol, Key Lab Struct & Earthquake Resistance,Minist Edu, Xian, Shaanxi, Peoples R China
[2] Xian Univ Architecture & Technol, Sch Civil Engn, State Key Lab Green Bldg Western China, Xian, Shaanxi, Peoples R China
[3] Southeast Univ, Civil Engn Sch, Nanjing, Peoples R China
来源：
MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2020年 / 144卷
基金：
中国国家自然科学基金;
关键词：
FPK equation; Filtered white noise process; Nonstationary; Non-Gaussian; Probability density function (PDF); POISSON WHITE-NOISE; MONTE-CARLO-SIMULATION; PROBABILISTIC SOLUTIONS; EQUIVALENT LINEARIZATION; RANDOM VIBRATION; MDOF SYSTEMS; OSCILLATORS; MODEL;
D O I：
10.1016/j.ymssp.2020.106898
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Some random excitations actually demonstrate a strong deviation from Gaussian. They are associated with strong non-Gaussian properties. In this paper, Poisson and filtered Poisson processes are utilized to describe such non-Gaussian excitations. Besides, nonstationarity has to be considered since excitation intensity is actually a varying process. It is modeled by multiplying stationary models with modulating functions. Based on the above, nonstationary responses of single-degree-of-freedom (SDOF) nonlinear systems under nonGaussian excitations are investigated. Exponential polynomial closure (EPC) approximate method, which is previously proposed for analyzing stationary responses with Gaussian excitations, is further improved by taking time variable or additional state variables into account to determine nonstationary responses with non-Gaussian excitations. Examples of nonlinear systems under nonstationary Poisson and filtered Poisson excitations are analyzed to testify the improved solution procedure. Comparisons between EPC approximates and simulated results evidence that the EPC method is efficient. In addition, non-Gaussian and nonstationary properties of responses are analyzed. Nonationary effects with different modulating function are also discussed. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：18
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