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| Stochastic dynamic response analysis of hysteretic nonlinear systems based on state-space-split method |
| Received:March 11, 2020 Revised:May 27, 2020 |
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| DOI：10.7511/jslx20200311001 |
| KeyWord:state-space-split method nonlinear system gaussian white noise probability density function random vibration |
| Author | Institution |
| 徐严钢 |
天津大学 建筑工程学院, 天津 |
| 朱海涛 |
天津大学 建筑工程学院, 天津 ;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 |
| 柳国环 |
天津大学 建筑工程学院, 天津 |
| 刘治国 |
天津大学 建筑工程学院, 天津 ;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 ;中国市政工程华北设计研究总院有限公司, 天津 |
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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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