The Role of Effective Random Dimension in Geotechnical Reliability Analysis and Reliability-based Design
Date Issued
2014
Date
2014
Author(s)
Yang, Jyh-Jian
Abstract
The Reliability Analysis (RA) and Reliability-based Design (RBD) are gradually used in Geotechnical engineering society. However, Using Partial Factor Design which has generally applied in structure engineering in geotechnical engineering is not a good way due to variable varieties. Ching and Phoon proposed a novel simplified RBD method called “Quantile Value Method, QVM” in 2011 in respond to this problem. Furthermore, another characteristic of Geotech is variable sources of resistance such as a single pile embedded in multiple soil layers. According to recent research, the constant η quantile could not maintain a uniform reliability in the practices of variable strata. This paper proposes an improvement adopting the concept called “Effective Random Dimension, ERD” to enhance QVM’s performance.
The focus of this research is to explain the role of ERD and the effect of using ERD in QVM. This paper will discuss the relationship among ERD, probability of failure and Probability Threshold at first. How the ERD affects the whole system is the main point and a formula derived from standard normal distribution would be demonstrated. To present the advantage of using ERD, we will use three common geotechnical examples to statistically compare the information content of three design method, Safety Factor Design, First Order Second Moment Method and QVM. Here will show a simple comparison of three types of design indices, then a regression predicting ERD will be established in order to take the ERD into account in RA and RBD. At the end the results of QVM and ERD-based QVM will be discussed.
Subjects
分位數值法
機率門檻
有效隨機維度
可靠度設計
βη
Type
thesis
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