| 基于state-space-split法的滞回非线性系统随机动力响应分析 |
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| 引用本文： | 徐严钢,朱海涛,柳国环,刘治国.基于state-space-split法的滞回非线性系统随机动力响应分析[J].计算力学学报,2021,38(1):1-7. |
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| 作者姓名： | 徐严钢 朱海涛 柳国环 刘治国 |
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| 作者单位： | 天津大学建筑工程学院,天津300072;天津大学建筑工程学院,天津300072;天津大学滨海土木工程结构与安全教育部重点实验室,天津300072;天津大学建筑工程学院,天津300072;天津大学滨海土木工程结构与安全教育部重点实验室,天津300072;中国市政工程华北设计研究总院有限公司,天津300074 |
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| 基金项目： | 国家自然科学基金（51478311）；天津大学自主创新基金（2017XRX-0018）资助项目. |
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| 摘 要： | 采用SSS(state-space-split)法,建立了引入Bouc-Wen滞回模型的杜芬非线性系统在高斯白噪声激励下的概率密度函数(PDF)的近似求解方法,分析了其随机动力响应变化规律.首先,将Bouc-Wen滞回模型引入杜芬非线性系统,分别考虑非线性系统中的几何非线性和材料非线性对动力响应的影响.随后,对该模型进...
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| 关 键 词： | state-space-split法 非线性系统 高斯白噪声 概率密度函数 随机振动 |
| 收稿时间： | 2020/3/11 0:00:00 |
| 修稿时间： | 2020/5/27 0:00:00 |
Stochastic dynamic response analysis of hysteretic nonlinear systems based on state-space-split method |
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| XU Yan-gang,ZHU Hai-tao,LIU Guo-huan,LIU Zhi-guo.Stochastic dynamic response analysis of hysteretic nonlinear systems based on state-space-split method[J].Chinese Journal of Computational Mechanics,2021,38(1):1-7. |
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| Authors: | XU Yan-gang ZHU Hai-tao LIU Guo-huan LIU Zhi-guo |
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| Institution: | School of Civil Engineering, Tianjin University, Tianjin 300072, China,School of Civil Engineering, Tianjin University, Tianjin 300072, China;Key Laboratory of Coast Civil Structure Safety of Ministry of Education, Tianjin University, Tianjin 300072, China,School of Civil Engineering, Tianjin University, Tianjin 300072, China and School of Civil Engineering, Tianjin University, Tianjin 300072, China;Key Laboratory of Coast Civil Structure Safety of Ministry of Education, Tianjin University, Tianjin 300072, China;North China Municipal Engineering Design & Research Institute Co., LTD., Tianjin 300074, China |
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| Abstract: | Using the state-space-split (SSS) method,this paper develops an approximate solution procedure for the probability density function (PDF) of a Duffing nonlinear system with the Bouc-Wen hysteretic model under Gaussian white noise excitation.First,the Bouc-Wen hysteretic model is introduced into the Duffing nonlinear system.This model considers the effects of geometric nonlinearity and material nonlinearity on the dynamic response of the nonlinear system,respectively.Subsequently,the equivalent linearization method (EQL) is used to analyze this nonlinear system.Based on the results of EQL,the simplification approach and computation principle of the SSS method are introduced and it is adopted to solve the approximate joint PDF of the three-dimensional FPK equation.Finally,the proposed method is applied to three cases and an engineering example.Its applicability,feasibility and superiority are verified by analyzing the PDF distribution and the dynamical reliability of the nonlinear system. |
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| Keywords: | state-space-split method nonlinear system gaussian white noise probability density function random vibration |
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