Stochastic responses of nonlinear systems to nonstationary non-Gaussian excitations

Siu-Siu Guo; Qingxuan Shi; Zhao-Dong Xu

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Stochastic responses of nonlinear systems to nonstationary non-Gaussian excitations

机译：非线性系统对非平稳非高斯激励的随机响应

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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 non-Gaussian 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.

机译：一些随机兴奋实际上表现出与高斯的强烈偏离。它们与强大的非高斯属性有关。在本文中，利用泊松和过滤的泊松过程来描述这种非高斯激励。此外，由于激励强度实际上是一个不同的过程，因此必须考虑非间抗性。它是通过将静止模型与调制功能乘以模型建模。基于以上，研究了在非高斯激动下的单级自由度（SDOF）非线性系统的非间断响应。通过考虑时间可变或附加状态变量来进一步改善以用于分析与高斯激励的静止响应的指数多项式闭合（EPC）近似方法，以确定具有非高斯激励的非平稳响应。分析非间断泊松和过滤泊松激发下的非线性系统的实例，证明了改进的解决方案程序。 EPC近似值和模拟结果证据表明EPC方法有效的比较。此外，分析了响应的非高斯和非平稳性性质。还讨论了不同调制函数的非统治效果。

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来源
《Mechanical systems and signal processing》 |2020年第10期|106898.1-106898.18|共18页
作者
Siu-Siu Guo; Qingxuan Shi; Zhao-Dong Xu;
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作者单位

School of Civil Engineering Institute of Mechanics and Technology Key Lab of Structural and Earthquake Resistance for Ministry of Education Xi'an University of Architecture and Technology Shaanxi China;

School of Civil Engineering State key lab of Green Building in Western China Xi'an University of Architecture and Technology Shaanxi China;

Civil Engineering School Southeast University Nanjing China;

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原文格式 PDF
正文语种 eng
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关键词
FPK equation; Filtered white noise process; Nonstationary; Non-Gaussian; Probability density function (PDF);

机译：FPK方程;过滤白噪声过程;非运动;非高斯;概率密度函数（PDF）;

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1. Wiener Path Integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitation [J] . Apostolos F. Psaros, Olga Brudastova, Giovanni Malara, Journal of Sound and Vibration . 2018,第期

机译：基于Wiener路径基于基于积分的非白色，非高斯和非平稳随机激励的非线性系统的响应确定
2. Nonstationary stochastic response of structural systems equipped with nonlinear viscous dampers under seismic excitation [J] . Enrico Tubaldi, Ioannis A. Kougioumtzoglou Earthquake Engineering & Structural Dynamics . 2015,第1期

机译：地震激励下装有非线性粘性阻尼器的结构系统的非平稳随机响应
3. Evaluation of the Probability Distribution of the Extreme Value of the Response of Nonlinear Structures Subjected to Fully Nonstationary Stochastic Seismic Excitations [J] . Journal of Engineering Mechanics . 2020,第2期

机译：非线性结构响应极值概率分布的评价，经受完全非间断随机地震激励的影响
4. Response moments of dynamic systems under non-Gaussian random excitation by the equivalent non-Gaussian excitation method [C] . Takahiro Tsuchida, Koji Kimura International Conference on Motion and Vibration Control . 2016

机译：相当于非高斯激励法下的非高斯随机激发下动态系统的响应时刻
5. RESPONSE AND RELIABILITY ANALYSIS OF LINEAR AND NONLINEAR STOCHASTIC SYSTEMS SUBJECTED TO RANDOM EXCITATIONS [D] . KHATER, MAHMOUD M. EL-SALEH. 1988

机译：随机激励作用下的线性和非线性随机系统的响应和可靠性分析
6. Stochastic response analysis for nonlinear vibration systems with adjustable stiffness property under random excitation [O] . Shenlong Wang, Kaixin Han 2012

机译：随机激励下具有可调刚度的非线性振动系统的随机响应分析
7. Computational Nonlinear Stochastic Dynamics With Model Uncertainties and Nonstationary Stochastic Excitation [O] . E. Capiez-lernout, C. Soize, M. -p. Mignolet 2015

机译：具有模型不确定性和非平稳随机激励的计算非线性随机动力学
8. Mean-Square Response of a Nonlinear System to Nonstationary Random Excitation. [R] . kanematsu, hidekichi nash,william a. 1976

机译：非线性系统对非平稳随机激励的均方响应。

Stochastic responses of nonlinear systems to nonstationary non-Gaussian excitations

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