In this article we consider the asymptotic behavior of extreme distribution with the extreme value index γ>0 . The rates of uniform convergence for Fréchet distribution are constructed under the second-order ...In this article we consider the asymptotic behavior of extreme distribution with the extreme value index γ>0 . The rates of uniform convergence for Fréchet distribution are constructed under the second-order regular variation condition.展开更多
The objective is to develop an approach for the determination of the target reliability index for serviceability limit state(SLS) of single piles. This contributes to conducting the SLS reliability-based design(RBD) o...The objective is to develop an approach for the determination of the target reliability index for serviceability limit state(SLS) of single piles. This contributes to conducting the SLS reliability-based design(RBD) of piles. Based on a two-parameter,hyperbolic curve-fitting equation describing the load-settlement relation of piles, the SLS model factor is defined. Then, taking into account the uncertainties of load-settlement model, load and bearing capacity of piles, the formula for computing the SLS reliability index(βsls) is obtained using the mean value first order second moment(MVFOSM) method. Meanwhile, the limit state function for conducting the SLS reliability analysis by the Monte Carlo simulation(MCS) method is established. These two methods are finally applied to determine the SLS target reliability index. Herein, the limiting tolerable settlement(slt) is treated as a random variable. For illustration, four load test databases from South Africa are compiled again to conduct reliability analysis and present the recommended target reliability indices. The results indicate that the MVFOSM method overestimates βsls compared to that computed by the MCS method. Besides, both factor of safety(FS) and slt are key factors influencing βsls, so the combination of FS and βsls is welcome to be used for the SLS reliability analysis of piles when slt is determined. For smaller slt, pile types and soils conditions have significant influence on the SLS target reliability indices; for larger slt, slt is the major factor having influence on the SLS target reliability indices. This proves that slt is the most key parameter for the determination of the SLS target reliability index.展开更多
Based on the Simplified Bishop Method, the minimum safety factor of ice slope both with and without tension cracks is calculated in combination with triaxial compression tests. It is found that there exists a critical...Based on the Simplified Bishop Method, the minimum safety factor of ice slope both with and without tension cracks is calculated in combination with triaxial compression tests. It is found that there exists a critical depth for each crack. Then, factors influencing ice slope stability such as slope ratio, slope height, ice cohesion, internal friction angle, unit weight and temperature were analyzed. Meanwhile, a regression equation between the aforementioned factors and safety factor is obtained, with which sensitivity analysis is carried out. The performance function is built in combination with random distribution of physical and mechanical parameters to analyze the reliability index. The Advanced First Order Second Moment Method is employed on the solution to the perfor- mance function. The one-way coupling system of ice slope stability is therefore formed based on safety factor and reliability index. Finally, an illustrated example of ice slope is provided, which shows that failure probability is relatively high, up to 6.18%, alt- hough safety factor is 2.77. Thus, it is objective and reasonable to apply the coupled system method to the slope stability rating.展开更多
电压失稳是一个动态的强非线性过程,需要采用动态方法来研究,而常规的动态电压稳定分析方法(如时域仿真法)的最大缺点是计算速度慢、耗费时间长,不能满足电压稳定在线研究的需要。本文利用PMU实测数据,在网损灵敏度理论的基础上,构造了...电压失稳是一个动态的强非线性过程,需要采用动态方法来研究,而常规的动态电压稳定分析方法(如时域仿真法)的最大缺点是计算速度慢、耗费时间长,不能满足电压稳定在线研究的需要。本文利用PMU实测数据,在网损灵敏度理论的基础上,构造了一个二阶指标—综合网损灵敏度指标(Integrated Loss Sensitivity Index,ILSI),同目前电压稳定分析常用的一阶指标相比,具有线性度好,准确度高的优点,在电压失稳过程中有比较均匀的变化趋势,这样不仅可以让运行人员清楚地了解系统的稳定状况,而且还可以预测稳定极限。提出的算法物理意义明确、算法结构简单,在IEEE9节点系统的仿真结果表明,该指标在系统电压恶化的过程中显示良好的线性度,可以很好地表征目前系统的电压水平。展开更多
文摘In this article we consider the asymptotic behavior of extreme distribution with the extreme value index γ>0 . The rates of uniform convergence for Fréchet distribution are constructed under the second-order regular variation condition.
基金Projects(51278216,51308241)supported by the National Natural Science Foundation of ChinaProject(2013BS010)supported by the Funds of Henan University of Technology for High-level Talents,China
文摘The objective is to develop an approach for the determination of the target reliability index for serviceability limit state(SLS) of single piles. This contributes to conducting the SLS reliability-based design(RBD) of piles. Based on a two-parameter,hyperbolic curve-fitting equation describing the load-settlement relation of piles, the SLS model factor is defined. Then, taking into account the uncertainties of load-settlement model, load and bearing capacity of piles, the formula for computing the SLS reliability index(βsls) is obtained using the mean value first order second moment(MVFOSM) method. Meanwhile, the limit state function for conducting the SLS reliability analysis by the Monte Carlo simulation(MCS) method is established. These two methods are finally applied to determine the SLS target reliability index. Herein, the limiting tolerable settlement(slt) is treated as a random variable. For illustration, four load test databases from South Africa are compiled again to conduct reliability analysis and present the recommended target reliability indices. The results indicate that the MVFOSM method overestimates βsls compared to that computed by the MCS method. Besides, both factor of safety(FS) and slt are key factors influencing βsls, so the combination of FS and βsls is welcome to be used for the SLS reliability analysis of piles when slt is determined. For smaller slt, pile types and soils conditions have significant influence on the SLS target reliability indices; for larger slt, slt is the major factor having influence on the SLS target reliability indices. This proves that slt is the most key parameter for the determination of the SLS target reliability index.
基金supported by the Western Project Program of the Chinese Academy of Sciences (KZCX2-XB3-19)the National key Basic Research Program of China (973 Program:No.2012CB026102)+4 种基金the Program for Innovative Research Group of Natural Science Foundation of China (No. 41121061)the Foundation of State Key Laboratory of Frozen Soil Engineering(SKLFSE-ZY-03)the foundation of State Key Laboratory of Frozen Soil Engineering (SKLFSE-ZY-03)the National Natural Science Foundation of China (40971045,41171060)the Knowledge Innovation Program of the Chinese Academy of Sciences (KZCX2-EW-QN301)
文摘Based on the Simplified Bishop Method, the minimum safety factor of ice slope both with and without tension cracks is calculated in combination with triaxial compression tests. It is found that there exists a critical depth for each crack. Then, factors influencing ice slope stability such as slope ratio, slope height, ice cohesion, internal friction angle, unit weight and temperature were analyzed. Meanwhile, a regression equation between the aforementioned factors and safety factor is obtained, with which sensitivity analysis is carried out. The performance function is built in combination with random distribution of physical and mechanical parameters to analyze the reliability index. The Advanced First Order Second Moment Method is employed on the solution to the perfor- mance function. The one-way coupling system of ice slope stability is therefore formed based on safety factor and reliability index. Finally, an illustrated example of ice slope is provided, which shows that failure probability is relatively high, up to 6.18%, alt- hough safety factor is 2.77. Thus, it is objective and reasonable to apply the coupled system method to the slope stability rating.
文摘电压失稳是一个动态的强非线性过程,需要采用动态方法来研究,而常规的动态电压稳定分析方法(如时域仿真法)的最大缺点是计算速度慢、耗费时间长,不能满足电压稳定在线研究的需要。本文利用PMU实测数据,在网损灵敏度理论的基础上,构造了一个二阶指标—综合网损灵敏度指标(Integrated Loss Sensitivity Index,ILSI),同目前电压稳定分析常用的一阶指标相比,具有线性度好,准确度高的优点,在电压失稳过程中有比较均匀的变化趋势,这样不仅可以让运行人员清楚地了解系统的稳定状况,而且还可以预测稳定极限。提出的算法物理意义明确、算法结构简单,在IEEE9节点系统的仿真结果表明,该指标在系统电压恶化的过程中显示良好的线性度,可以很好地表征目前系统的电压水平。
