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2-连通3-正则有根平面地图的计数方程
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作者 蔡俊亮 徐永华 刘彦佩 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2001年第6期736-738,共3页
提供了一个依边数和根面次计数 2 连通 3 正则有根平面地图的函数方程 ,为解决该类地图的计数问题奠定了基础 .
关键词 2-连通地图 3-正则地图 计数方程 有根平面地图 边数 根面次 计数函数
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一类特殊的有根平面地图的计数方程 被引量:1
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作者 陶长琪 娄惠元 《黄金学报》 1999年第4期318-319,共2页
作者在文献[2]、[3]中对三角形与四角形剖分地图进行了讨论,得到了其以根面度数与非极面个数为计数参数的计数方程;对另一类特殊的有根平面地图无重边近五角剖分地图进行了分析,得到了相应的结果.
关键词 有根平面地图 剖分 计数方程 根面度数 非根面个数
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两类有根平面地图依面剖分计数方程
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作者 陶长琪 徐晔 娄惠元 《黄金学报》 2001年第2期152-154,共3页
本文对点不可分离有根平面地图和边不可分离有根平面偶图进行了讨论 ,得到了其依根面度数。
关键词 有限平面地图 点不可分离 边不可分离 面剖分 计数方程
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无环有根平面地图依节点剖分计数方程
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作者 陶长琪 张祥德 《沈阳黄金学院学报》 1993年第3期89-94,共6页
关键词 有根平面地图 计数方程 节点剖分
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一般平面地图依点和面数的计数(Ⅰ) 被引量:1
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作者 蔡俊亮 高存良 刘彦佩 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第5期569-573,共5页
主要讨论了一般有根平面地图依点数和边数的计数问题 ,获得了该类地图具有 2参数的计数函数的一个新的参数形式解以及它的计数显式 。
关键词 面数 计数 平面地图 计数函数 计数方程 参数表达式 点数 参数形式解
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广义冬梅地图的计数 被引量:1
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作者 龙述德 蔡俊亮 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第4期389-392,共4页
研究了广义冬梅地图的计数问题,提供了以根点次和节点剖分为参数及以其根点次、根面次和度为参数的计数方程,并且导出了一些计数显式.
关键词 广义冬梅地图 计数函数 计数方程
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关于地图计数方法的一点注记
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作者 刘效丽 蔡俊亮 《华中师范大学学报(自然科学版)》 CAS CSCD 2007年第2期163-166,共4页
在地图计数理论中,适当地选择计数的方法不仅能使计数过程得到简化,而且还能使计数结果尽可能地优化.利用参数化的计数方法使得近2-正则有根平面地图依根点次、非根点数和根面次的一组计数结果得到了充分的简化.
关键词 正则图 计数方程 参数解 Lagrange反演
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一般平面地图依点和面数的计数(Ⅱ)
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作者 蔡俊亮 王文福 刘彦佩 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第6期711-714,共4页
讨论了一般有根平面地图依根点次、点数和边数的计数问题 ,在文 ( )的基础上获得了该类地图具有以上 3变量的计数函数的参数形式解以及幂级数形式解 .
关键词 依点 面数 一般平面地图 计数函数 计数方程 参数表达解 幂级数形式解
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双奇异平面地图的计数
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作者 龙述德 蔡俊亮 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第1期17-20,共4页
研究了带根双奇异平面地图的计数问题,提供了以根面次、度和非根点数为参数的计数函数所满足的计数方程,并且导出了一些计数显式.
关键词 双奇异平面地图 计数函数 计数方程 Lagrange反演
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双奇异平面地图的计数(Ⅱ)
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作者 龙述德 蔡俊亮 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第6期559-562,共4页
研究了带根双奇异平面地图的计数问题,提供了面剖分方程及以根面次、内面数和非根点数为参数的计数函数所满足的计数方程,并且导出了一些计数显式.
关键词 双奇异平面地图 计数函数 计数方程 Lagrange反演
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广义冬梅地图的计数(Ⅱ)
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作者 龙述德 蔡俊亮 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第1期34-36,共3页
研究了广义冬梅地图的计数问题,提供了面剖分方程及以其根面次和非根面数为参数的计数函数所满足的计数方程,并且导出了它的计数显式.
关键词 广义冬梅地图 计数函数 计数方程
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单行地图在曲面上的计数
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作者 张永利 刘彦佩 郝荣霞 《北京交通大学学报》 CAS CSCD 北大核心 2010年第6期68-70,共3页
单行地图为仅有两个点的点次为奇数的地图.本文主要目的是研究单行地图在一般曲面上的计数函数,并依据不同的参数建立相应的函数方程.
关键词 曲面上的单行地图 生成函数 计数方程
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Calculation of maximum surface settlement induced by EPB shield tunnelling and introducing most effective parameter 被引量:6
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作者 Sayed Rahim Moeinossadat Kaveh Ahangari Kourosh Shahriar 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第12期3273-3283,共11页
This study aims to predict ground surface settlement due to shallow tunneling and introduce the most affecting parameters on this phenomenon.Based on data collected from Shanghai LRT Line 2 project undertaken by TBM-E... This study aims to predict ground surface settlement due to shallow tunneling and introduce the most affecting parameters on this phenomenon.Based on data collected from Shanghai LRT Line 2 project undertaken by TBM-EPB method,this research has considered the tunnel's geometric,strength,and operational factors as the dependent variables.At first,multiple regression(MR) method was used to propose equations based on various parameters.The results indicated the dependency of surface settlement on many parameters so that the interactions among different parameters make it impossible to use MR method as it leads to equations of poor accuracy.As such,adaptive neuro-fuzzy inference system(ANFIS),was used to evaluate its capabilities in terms of predicting surface settlement.Among generated ANFIS models,the model with all input parameters considered produced the best prediction,so as its associated R^2 in the test phase was obtained to be 0.957.The equations and models in which operational factors were taken into consideration gave better prediction results indicating larger relative effect of such factors.For sensitivity analysis of ANFIS model,cosine amplitude method(CAM) was employed; among other dependent variables,fill factor of grouting(n) and grouting pressure(P) were identified as the most affecting parameters. 展开更多
关键词 surface settlement shallow tunnel tunnel boring machine (TBM) multiple regression (MR) adaptive neuro-fuzzyinference system (ANFIS) cosine amplitude method (CAM)
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Isogeometric analysis for elliptical waveguide eigenvalue problems 被引量:1
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作者 张勇 林皋 +1 位作者 胡志强 刘军 《Journal of Central South University》 SCIE EI CAS 2013年第1期105-113,共9页
The cutoff wavenumbers of elliptical waveguides were calculated by using isogeomtric analysis method (IGA). With NURBS basis functions in IGA, the computational model was consistent with geometric model imported fro... The cutoff wavenumbers of elliptical waveguides were calculated by using isogeomtric analysis method (IGA). With NURBS basis functions in IGA, the computational model was consistent with geometric model imported from CAD system. The field variable (longitudinal electric/magnetic field) was constructed by the same NURBS basis functions as the representation of geometric model. In the refinement procedure used to get a more accurate solution, communication with original CAD system is unnecessary and the geometric shape is kept unchanged. The Helrnholtz equation is weakened to a set of general eigenvalue equation by virtual work principal with diseretized degree-of-freedom on control points. Elliptical waveguides with three typical eccentricities, 0.1, 0.5 and 0.9, are calculated by IGA with different size mesh. The first four cutoff wavenumbers are obtained even in coarse mesh and the RMS of first 25 cutoff wavenumbers has much more swift convergence rate with decreasing the mesh size than traditional FEM. The accuracy and robustness of the proposed method are validated by elliptical waveguides, and also the method can be applied to waveguides with arbitrary cross sections. 展开更多
关键词 elliptical waveguide isogeometric analysis NURBS non-communicational refinement
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Numerical computation and analysis of high-speed autonomous underwater vehicle (AUV) moving in head sea based on dynamic mesh 被引量:2
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作者 高富东 潘存云 +1 位作者 徐小军 韩艳艳 《Journal of Central South University》 SCIE EI CAS 2012年第11期3084-3093,共10页
Autonomous underwater vehicles (AUVs) navigating on the sea surface are usually required to complete the communication tasks in complex sea conditions. The movement forms and flow field characteristics of a multi-mo... Autonomous underwater vehicles (AUVs) navigating on the sea surface are usually required to complete the communication tasks in complex sea conditions. The movement forms and flow field characteristics of a multi-moving state AUV navigating in head sea at high speed were studied. The mathematical model on longitudinal motion of the high-speed AUV in head sea was established with considering the hydrodynamic lift based on strip theory, which was solved to get the heave and pitch of the AUV by Gaussian elimination method. Based on this, computational fluid dynamics (CFD) method was used to establish the mathematical model of the unsteady viscous flow around the AUV with considering free surface effort by using the Reynolds-averaged Navier-Stokes (RANS) equations, shear-stress transport (SST) k-w model and volume of fluid (VOF) model. The three-dimensional numerical wave in the computational field was realized through defining the unsteady inlet boundary condition. The motion forms of the AUV navigating in head sea at high speed were carried out by the program source code of user-defined function (UDF) based on dynamic mesh. The hydrodynamic parameters of the AUV such as drag, lift, pitch torque, velocity, pressure and wave profile were got, which reflect well the real ambient flow field of the AUV navigating in head sea at high speed. The computational wave profile agrees well with the experimental phenomenon of a wave-piercing surface vehicle. The force law of the AUV under the impacts of waves was analyzed qualitatively and quantitatively, which provides an effective theoretical guidance and technical support for the dynamics research and shape design of the AUV in real complex environnaent. 展开更多
关键词 computational fluid dynamics dynamic mesh autonomous underwater vehicle (AUV) MOTION head sea viscous flowfield
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Mechanical analysis of fixed geosynthetic technique of GRPS embankment
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作者 张军 郑俊杰 马强 《Journal of Central South University》 SCIE EI CAS 2013年第5期1368-1375,共8页
To overcome the deficiencies of conventional geosynthetic-reinforced and pile-supported (GRPS) embankment, a new improvement technique, fixed geosynthetic technique of GRPS embankment (FGT embankment), was developed a... To overcome the deficiencies of conventional geosynthetic-reinforced and pile-supported (GRPS) embankment, a new improvement technique, fixed geosynthetic technique of GRPS embankment (FGT embankment), was developed and introduced. Based on the discussion about the load transfer mechanism of FGT embankment, a simplified check method of the requirement of geosynthetic tensile strength and a mechanical model of the FGT embankment were proposed. Two conditions, the pile cap and pile beam conditions are considered in the mechanical model. The finite difference method is used to solve the mechanical model owing to the complexity of the differential equations and the soil strata. Then, the numerical procedure is programmed. Finally, a field test is conducted to verify the mechanical model and the calculated results are in good agreement with field measured data. 展开更多
关键词 mechanical model load transfer mechanism fixed geosynthetic technique GRPS embankment field test
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