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| Three-dimensional path integration analysis of non-linear responses of simply-supported beams |
| Received:April 05, 2018 Revised:June 05, 2018 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20180405001 |
| KeyWord:three-dimensional path integration method filtered Gaussian white noise simply-supported beam non-linear non-stationary |
| Author | Institution |
| 潘鑫凯 |
天津大学 建筑工程学院, 天津 |
| 王小盾 |
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 |
| 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 |
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| Abstract: |
| This paper analyzes the probability density functions of non-linear random vibration responses of simply-supported beams under filtered Gaussian white noise by three-dimensional path integration method based on the Gauss-Legendre integration scheme.The random vibration model of simply-supported beams under filtered Gaussian white noise is obtained by considering the one-dimensional filter equation and the first-order vibration mode of simply-supported beams.This paper adopts the integration method based on Gauss-Legendre integration scheme and short-time Gaussian approximation to obtain the probability density functions of responses.The results show that the obtained values of the three-dimensional path integration method can agree well with the Monte Carlo simulation results,even in the tail regions.Three-dimensional path integration method can provide higher accuracy than equivalent linearization method. |