The nonlinear analysis with an analytical approach on dynamic torsional buckling of stiffened functionally graded thin toroidal shell segments is investigated. The shell is reinforced by inside stiffeners and surround...The nonlinear analysis with an analytical approach on dynamic torsional buckling of stiffened functionally graded thin toroidal shell segments is investigated. The shell is reinforced by inside stiffeners and surrounded by elastic foundations in a thermal environment and under a time-dependent torsional load. The governing equations are derived based on the Donnell shell theory with the yon Karman geometrical nonlinearity, the Stein and McElman assumption, the smeared stiffeners technique, and the Galerkin method. A deflection function with three terms is chosen. The thermal parameters of the uniform temperature rise and nonlinear temperature conduction law are found in an explicit form. A closed-form expression for determining the static critical torsional load is obtained. A critical dynamic torsional load is found by the fourth-order Runge-Kutta method and the Budiansky-Roth criterion. The effects of stiffeners, foundations, material, and dimensional parameters on dynamic responses of shells are considered.展开更多
The uniform ring model and the shell-spring model for segmental lining design are reviewed in thisarticle. The former is the most promising means to reflect the real behavior of segmental lining, while thelatter is th...The uniform ring model and the shell-spring model for segmental lining design are reviewed in thisarticle. The former is the most promising means to reflect the real behavior of segmental lining, while thelatter is the most popular means in practice due to its simplicity. To understand the relationship and thedifference between these two models, both of them are applied to the engineering practice of FuzhouMetro Line I, where the key parameters used in both models are described and compared. The effectiveratio of bending rigidity h reflecting the relative stiffness between segmental lining and surroundingground and the transfer ratio of bending moment x reflecting the relative stiffness between segment andjoint, which are two key parameters used in the uniform ring model, are especially emphasized. Thereasonable values for these two key parameters are calibrated by comparing the bending momentscalculated from both two models. Through case studies, it is concluded that the effective ratio of bendingrigidity h increases significantly with good soil properties, increases slightly with increasing overburden,and decreases slightly with increasing water head. Meanwhile, the transfer ratio of bending moment xseems to only relate to the properties of segmental lining itself and has a minor relation with the groundconditions. These results could facilitate the design practice for Fuzhou Metro Line I, and could alsoprovide some references to other projects with respect to similar scenarios.展开更多
在数据仓库系统中,数据立方体(Cube)及其预聚集处理在OLAP起到非常重要的作用.对于一个d维的data Cube可以生成2d个聚集Cuboids和multiply from i=1 to d(|Di|+1)个聚集数据单元,但对于一个高维Cube,要创建这些所有聚集Cuboids是不现实...在数据仓库系统中,数据立方体(Cube)及其预聚集处理在OLAP起到非常重要的作用.对于一个d维的data Cube可以生成2d个聚集Cuboids和multiply from i=1 to d(|Di|+1)个聚集数据单元,但对于一个高维Cube,要创建这些所有聚集Cuboids是不现实的.提出通过共享分段立方体Mini-Cube的高维Cube并行分布式存储结构(DHMC),将高维Cube划分成若干个低维共享分段立方体Mini-Cube,利用并行分布式处理技术来创建这些分割的分段共享Mini-Cube及其聚集Cuboids,来实现高维Cube的并行创建和增量更新维护,从而解决高维OLAP聚集海量数据的存储与查询问题.理论分析与实验结果均表明DHMC性能最佳.展开更多
基金supported by the Vietnam National Foundation for Science and Technology Development(No.107.02-2015.11)
文摘The nonlinear analysis with an analytical approach on dynamic torsional buckling of stiffened functionally graded thin toroidal shell segments is investigated. The shell is reinforced by inside stiffeners and surrounded by elastic foundations in a thermal environment and under a time-dependent torsional load. The governing equations are derived based on the Donnell shell theory with the yon Karman geometrical nonlinearity, the Stein and McElman assumption, the smeared stiffeners technique, and the Galerkin method. A deflection function with three terms is chosen. The thermal parameters of the uniform temperature rise and nonlinear temperature conduction law are found in an explicit form. A closed-form expression for determining the static critical torsional load is obtained. A critical dynamic torsional load is found by the fourth-order Runge-Kutta method and the Budiansky-Roth criterion. The effects of stiffeners, foundations, material, and dimensional parameters on dynamic responses of shells are considered.
基金sponsored by the Natural Science Foundation of China(Grant No.51008082)
文摘The uniform ring model and the shell-spring model for segmental lining design are reviewed in thisarticle. The former is the most promising means to reflect the real behavior of segmental lining, while thelatter is the most popular means in practice due to its simplicity. To understand the relationship and thedifference between these two models, both of them are applied to the engineering practice of FuzhouMetro Line I, where the key parameters used in both models are described and compared. The effectiveratio of bending rigidity h reflecting the relative stiffness between segmental lining and surroundingground and the transfer ratio of bending moment x reflecting the relative stiffness between segment andjoint, which are two key parameters used in the uniform ring model, are especially emphasized. Thereasonable values for these two key parameters are calibrated by comparing the bending momentscalculated from both two models. Through case studies, it is concluded that the effective ratio of bendingrigidity h increases significantly with good soil properties, increases slightly with increasing overburden,and decreases slightly with increasing water head. Meanwhile, the transfer ratio of bending moment xseems to only relate to the properties of segmental lining itself and has a minor relation with the groundconditions. These results could facilitate the design practice for Fuzhou Metro Line I, and could alsoprovide some references to other projects with respect to similar scenarios.
文摘在数据仓库系统中,数据立方体(Cube)及其预聚集处理在OLAP起到非常重要的作用.对于一个d维的data Cube可以生成2d个聚集Cuboids和multiply from i=1 to d(|Di|+1)个聚集数据单元,但对于一个高维Cube,要创建这些所有聚集Cuboids是不现实的.提出通过共享分段立方体Mini-Cube的高维Cube并行分布式存储结构(DHMC),将高维Cube划分成若干个低维共享分段立方体Mini-Cube,利用并行分布式处理技术来创建这些分割的分段共享Mini-Cube及其聚集Cuboids,来实现高维Cube的并行创建和增量更新维护,从而解决高维OLAP聚集海量数据的存储与查询问题.理论分析与实验结果均表明DHMC性能最佳.
