对于自由振动问题,基于单元能量投影(element energy projection, EEP)技术,对频率和模态同时进行误差控制的自适应有限元分析已建立,并被证明可靠且高效。在实际应用中,也存在另一类需求,即只需保证频率的精度,而并不关心模态误差大小...对于自由振动问题,基于单元能量投影(element energy projection, EEP)技术,对频率和模态同时进行误差控制的自适应有限元分析已建立,并被证明可靠且高效。在实际应用中,也存在另一类需求,即只需保证频率的精度,而并不关心模态误差大小。该研究提出了频率超收敛计算方案,继而建立了整体频率误差和局部模态误差的转换关系,从而在整体上以频率误差估计控制算法停机,在局部上以模态误差估计驱动网格更新,最终建立了以频率误差控制为目标的自由振动问题自适应有限元分析策略。该方法的有效性在二阶Sturm-Liouville问题及弹性薄膜自由振动问题上得到了应用验证。展开更多
The preceding and succeeding precipitation(PSP)often act together with extreme precipitation(EP),in turn,causing floods,which is an objective component that is often overlooked with regard to summer flood hazards in t...The preceding and succeeding precipitation(PSP)often act together with extreme precipitation(EP),in turn,causing floods,which is an objective component that is often overlooked with regard to summer flood hazards in the arid region of Northwest China.In this study,event-based extreme precipitation(EEP)was defined as continuous precipitation that includes at least one day of EP.We analyzed the spatiotemporal variation characteristics of four EEP types(front EEP,late EEP,balanced EEP,and single day EEP)across the Loess Plateau(LP)based on data acquired from 87 meteorological stations from 1960 to 2019.Precipitation on the LP basically maintained a spatial pattern of"low in the northwest region and high in the southeast region",and EP over the last 10 a increased significantly.The cumulative precipitation percentage of single day EEP was 34%and was dominant for 60 a,while the cumulative precipitation percentage of front,late,and balanced EEP types associated with PSP accounted for 66%,which confirms to the connotation of EEP.The cumulative frequencies of front and late EEP types were 23%and 21%,respectively,while the cumulative frequency of balanced EEP had the lowest value at only 13%.Moreover,global warming could lead to more single day EEP across the LP,and continuous EEP could increase in the northwestern region and decrease in the eastern region in the future.The concept of process-oriented EP could facilitate further exploration of disaster-causing processes associated with different types of EP,and provide a theoretical basis for deriving precipitation disaster chains and construction of disaster cluster characteristics.展开更多
为了降低入侵检测系统的误报率和漏报率,我们将两阶段分类算法(Classification of EssentialEmerging Pattern in Two Phases)CEEPTP应用到入侵检测中。该算法结合两阶段思想和基本显露模式eEP在分类方面的优势,使用两个阶段挖掘eEP并...为了降低入侵检测系统的误报率和漏报率,我们将两阶段分类算法(Classification of EssentialEmerging Pattern in Two Phases)CEEPTP应用到入侵检测中。该算法结合两阶段思想和基本显露模式eEP在分类方面的优势,使用两个阶段挖掘eEP并用于分类,分类时考虑第二阶段对第一阶段的修正作用,实验表明具有较好的分类结果。展开更多
对于结构动力分析中的离散系统运动方程,现有算法的计算精度和效率均依赖于时间步长的选取,这是时间域问题求解的难点.基于EEP(element energy projection)超收敛计算的自适应有限元法,以EEP超收敛解代替未知真解,估计常规有限元解的误...对于结构动力分析中的离散系统运动方程,现有算法的计算精度和效率均依赖于时间步长的选取,这是时间域问题求解的难点.基于EEP(element energy projection)超收敛计算的自适应有限元法,以EEP超收敛解代替未知真解,估计常规有限元解的误差,并自动细分网格,目前已对诸类以空间坐标为自变量的边值问题取得成功.对离散系统运动方程建立弱型Galerkin有限元解,引入基于EEP法的自适应求解策略,在时间域上自动划分网格,最终得到所求时域内任一时刻均满足给定误差限的动位移解,进而建立了一种时间域上的新型自适应求解算法.展开更多
This paper completely introduces the basic idea of the EFP (Equivalent Frame Photo) aerial triangulation, EFP image point coordinate calculation and the function model of adjustment as well as the digital simulation o...This paper completely introduces the basic idea of the EFP (Equivalent Frame Photo) aerial triangulation, EFP image point coordinate calculation and the function model of adjustment as well as the digital simulation of the satellite photogrammetry. Then, the free framework + the control points adjustment, the adjustment with the observations of the exterior orientation element, detection the constant error of the observations of the exterior orientation element and the block adjustment are calculated and analysed using the simulated data. Through experiments and analysis, the conclusions are: The strip length of the three baselengths can be built up a stable model of the three-line array CCD image strip adjustment; The control points can be arranged on the start and the end of the strip. The elevation accuracy of the twofold area is lower about a factor of 1.4 than the threefold area; The observations of the exterior orientation element are the necessary data for the three-line array CCD image bundle adjustment. By the adjustment, the elevation accuracy can be improved in variant levels. Even if the accuracy of the observations of the exterior orientation elements are so high now, the elevation accuracy of the bundle adjustment is higher than the only forward intersection, so the three-line array CCD camera is more advantageous than single-line and double-line cameras in global satellite photogrammetry without control points or the exterior planet photogrammetry.展开更多
利用单元能量投影(Element Energy Projection,简称EEP)法所计算的EEP超收敛解,在不改变有限元网格及其整体刚度矩阵的情况下,导出残差的等效结点荷载向量,只经回代过程即可得到具有更高阶精度的结点位移的误差估计,使结点位移精度得到...利用单元能量投影(Element Energy Projection,简称EEP)法所计算的EEP超收敛解,在不改变有限元网格及其整体刚度矩阵的情况下,导出残差的等效结点荷载向量,只经回代过程即可得到具有更高阶精度的结点位移的误差估计,使结点位移精度得到极大提高。该文以一般的二阶常微分方程边值和初值问题为例,给出算法和相应的数值算例。从中可以看出,本法十分简单而高效:对于m≥1次单元,采用EEP简约格式和凝聚格式修正后的结点位移,分别具有O(h^(2m+2))和O(h^(3m+mod(m,2)))的超常规的超收敛阶。该文给出了典型算例,并对该法的进一步拓展和应用作了讨论。展开更多
文摘对于自由振动问题,基于单元能量投影(element energy projection, EEP)技术,对频率和模态同时进行误差控制的自适应有限元分析已建立,并被证明可靠且高效。在实际应用中,也存在另一类需求,即只需保证频率的精度,而并不关心模态误差大小。该研究提出了频率超收敛计算方案,继而建立了整体频率误差和局部模态误差的转换关系,从而在整体上以频率误差估计控制算法停机,在局部上以模态误差估计驱动网格更新,最终建立了以频率误差控制为目标的自由振动问题自适应有限元分析策略。该方法的有效性在二阶Sturm-Liouville问题及弹性薄膜自由振动问题上得到了应用验证。
基金This research was supported by the National Natural Science Foundation of China(52022081)the Technology Project Funded by Clean Energy and Ecological Water Conservancy Engineering Research Center of China(QNZX-2019-03).
文摘The preceding and succeeding precipitation(PSP)often act together with extreme precipitation(EP),in turn,causing floods,which is an objective component that is often overlooked with regard to summer flood hazards in the arid region of Northwest China.In this study,event-based extreme precipitation(EEP)was defined as continuous precipitation that includes at least one day of EP.We analyzed the spatiotemporal variation characteristics of four EEP types(front EEP,late EEP,balanced EEP,and single day EEP)across the Loess Plateau(LP)based on data acquired from 87 meteorological stations from 1960 to 2019.Precipitation on the LP basically maintained a spatial pattern of"low in the northwest region and high in the southeast region",and EP over the last 10 a increased significantly.The cumulative precipitation percentage of single day EEP was 34%and was dominant for 60 a,while the cumulative precipitation percentage of front,late,and balanced EEP types associated with PSP accounted for 66%,which confirms to the connotation of EEP.The cumulative frequencies of front and late EEP types were 23%and 21%,respectively,while the cumulative frequency of balanced EEP had the lowest value at only 13%.Moreover,global warming could lead to more single day EEP across the LP,and continuous EEP could increase in the northwestern region and decrease in the eastern region in the future.The concept of process-oriented EP could facilitate further exploration of disaster-causing processes associated with different types of EP,and provide a theoretical basis for deriving precipitation disaster chains and construction of disaster cluster characteristics.
文摘为了降低入侵检测系统的误报率和漏报率,我们将两阶段分类算法(Classification of EssentialEmerging Pattern in Two Phases)CEEPTP应用到入侵检测中。该算法结合两阶段思想和基本显露模式eEP在分类方面的优势,使用两个阶段挖掘eEP并用于分类,分类时考虑第二阶段对第一阶段的修正作用,实验表明具有较好的分类结果。
文摘对于结构动力分析中的离散系统运动方程,现有算法的计算精度和效率均依赖于时间步长的选取,这是时间域问题求解的难点.基于EEP(element energy projection)超收敛计算的自适应有限元法,以EEP超收敛解代替未知真解,估计常规有限元解的误差,并自动细分网格,目前已对诸类以空间坐标为自变量的边值问题取得成功.对离散系统运动方程建立弱型Galerkin有限元解,引入基于EEP法的自适应求解策略,在时间域上自动划分网格,最终得到所求时域内任一时刻均满足给定误差限的动位移解,进而建立了一种时间域上的新型自适应求解算法.
文摘This paper completely introduces the basic idea of the EFP (Equivalent Frame Photo) aerial triangulation, EFP image point coordinate calculation and the function model of adjustment as well as the digital simulation of the satellite photogrammetry. Then, the free framework + the control points adjustment, the adjustment with the observations of the exterior orientation element, detection the constant error of the observations of the exterior orientation element and the block adjustment are calculated and analysed using the simulated data. Through experiments and analysis, the conclusions are: The strip length of the three baselengths can be built up a stable model of the three-line array CCD image strip adjustment; The control points can be arranged on the start and the end of the strip. The elevation accuracy of the twofold area is lower about a factor of 1.4 than the threefold area; The observations of the exterior orientation element are the necessary data for the three-line array CCD image bundle adjustment. By the adjustment, the elevation accuracy can be improved in variant levels. Even if the accuracy of the observations of the exterior orientation elements are so high now, the elevation accuracy of the bundle adjustment is higher than the only forward intersection, so the three-line array CCD camera is more advantageous than single-line and double-line cameras in global satellite photogrammetry without control points or the exterior planet photogrammetry.
文摘利用单元能量投影(Element Energy Projection,简称EEP)法所计算的EEP超收敛解,在不改变有限元网格及其整体刚度矩阵的情况下,导出残差的等效结点荷载向量,只经回代过程即可得到具有更高阶精度的结点位移的误差估计,使结点位移精度得到极大提高。该文以一般的二阶常微分方程边值和初值问题为例,给出算法和相应的数值算例。从中可以看出,本法十分简单而高效:对于m≥1次单元,采用EEP简约格式和凝聚格式修正后的结点位移,分别具有O(h^(2m+2))和O(h^(3m+mod(m,2)))的超常规的超收敛阶。该文给出了典型算例,并对该法的进一步拓展和应用作了讨论。
