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Structural System Reliability Analysis for Performance Based Design

基于性能设计的结构系统可靠性分析

基本信息

批准号：
14550485
负责人：
MARUYAMA Osamu
金额：
$ 2.24万
依托单位：
Musashi Institute of Technology
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2002
资助国家：
日本
起止时间：
2002 至 2004
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14550485/
关键词：
first excursion probability first passage probability Kalman Filter Monte Carlo Simulation performance based design Kalman filter performance base design nonlinear system reliability stochastic structural dynamics

项目摘要

In random vibration, probability of an event that system performance function becomes negative during the time duration is a means to discuss the system safety. This probability is well known as first excursion probability. Since nonlinear stochastic structural dynamics is of significant importance for reliability evaluation of earthquake, wind and ocean wave engineering problems, the development of procedures to predict structural responses has received considerable attention by engineers and consequently there are many methods proposed up to date, or being under development so far.This research also proposes a method to evaluate the first excursion probability for nonlinear systems. The proposed methods are class of variance reduction techniques for Monte Carlo simulation, which is the importance sampling technique utilizing the measure transformation method and pseudo linearization techniques. To attain the purpose, an importance sampling function is obtained by online data processing based on the stochastic terminal state control theory with the help of numerically simulated response data. The efficiency of the proposed method is demonstrated by numerical examples of non-linear restoring force systems under the external white noise excitation.

在随机振动中，系统性能函数在一定时间内变为负值的事件概率是讨论系统安全性的一种手段。该概率被称为首次偏移概率。由于非线性随机结构动力学对于地震、风和海浪工程问题的可靠性评估具有重要意义，因此预测结构响应的程序的开发受到了工程师的广泛关注，因此迄今为止提出或正在开发许多方法。本研究还提出了一种评估非线性系统首次偏移概率的方法。所提出的方法是蒙特卡罗模拟的方差减少技术，是利用测度变换方法和伪线性化技术的重要性采样技术。为此，基于随机终端状态控制理论，借助数值模拟响应数据，通过在线数据处理得到重要性采样函数。通过外部白噪声激励下非线性恢复力系统的数值例子证明了该方法的有效性。