| Structural first failure times under non-Gaussian stochastic behavior |
| |
| 作者姓名： | 何军 |
| |
| 作者单位： | Department of |
| |
| 摘 要： | An analytical moment-based method for calculating structural first failure times under non-Gaussian stochastic behavior is proposed.In the method,a power series that constants can be obtained from response moments (skewness,kurtosis,etc.) is used firstly to map a non-Gaussian structural response into a standard Gaussian process,then mean up-crossing rates,mean clump size and the initial passage probability of a critical barrier level by the original structural response are estimated,and finally,the formula for calculating first failure times is established on the assumption that corrected up-crossing rates are independent.An analysis of a nonlinear single-degree-of-freedom dynamical system excited by a Gaussian model of load not only demonstrates the usage of the proposed method but also shows the accuracy and efficiency of the proposed method by comparisons between the present method and other methods such as Monte Carlo simulation and the traditional Ganssian model.
|
| 关 键 词： | 数学理论 高斯模型 序列 计算方法 |
| 收稿时间： | 16 June 2006 |
| 修稿时间： | 2006-06-16 |
Structural first failure times under non-Gaussian stochastic behavior |
| |
| He?Jun.Structural first failure times under non-Gaussian stochastic behavior[J].Applied Mathematics and Mechanics(English Edition),2007,28(11):148-1494. |
| |
| Authors: | He Jun |
| |
| Institution: | Department of Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, P. R. China |
| |
| Abstract: | An analytical moment-based method for calculating structural first failure times under non-Gaussian stochastic behavior is proposed.In the method,a power series that constants can be obtained from response moments (skewness,kurtosis,etc.) is used firstly to map a non-Gaussian structural response into a standard Gaussian process,then mean up-crossing rates,mean clump size and the initial passage probability of a critical barrier level by the original structural response are estimated,and finally,the formula for calculating first failure times is established on the assumption that corrected up-crossing rates are independent.An analysis of a nonlinear single-degree-of-freedom dynamical system excited by a Gaussian model of load not only demonstrates the usage of the proposed method but also shows the accuracy and efficiency of the proposed method by comparisons between the present method and other methods such as Monte Carlo simulation and the traditional Ganssian model. |
| |
| Keywords: | first failure times non-Gaussian structural behavior up-crossing rates power series |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
