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Upper-bound limit analysis based on the natural element method

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Acta Mechanica Sinica 2012年第5期28卷 1398-1415页

作者： shu-tao Zhou Ying-Hua Liu Department of Engineering Mechanics AMLTsinghua University

The natural element method （NEM） is a newly- developed numerical method based on Voronoi diagram and Delaunay triangulation of scattered points, which adopts natural neighbour interpolation to construct trial functions in the framework of Galerkin method. Owing to its distinctive advantages, the NEM is used widely in many problems of computational mechanics. Utilizing the NEM, this paper deals with numerical limit analysis of structures made up of perfectly rigid-plastic material. According to kinematic the- orem of plastic limit analysis, a mathematical programming natural element formulation is established for determining the upper bound multiplier of plane problems, and a direct iteration algorithm is proposed accordingly to solve it. In this algorithm, the plastic incompressibility condition is handled by two different treatments, and the nonlinearity and nons- moothness of the goal function are overcome by distinguishing the rigid zones from the plastic zones at each iteration. The procedure implementation of iterative process is quite simple and effective because each iteration is equivalent to solving an associated elastic problem. The obtained limit load multiplier is proved to monotonically converge to the upper bound of true solution. Several benchmark examples are investigated to validate the significant performance of the NEM in the application field of limit analysis.

关键词： Upper bound limit analysis Meshless methodNatural neighbour interpolation Natural element methodMathematical programming Iteration algorithm

AN OPTIMIZATION METHOD OF AQUATIC ENVIRONMENTAL CAPACITY FOR TIDAL RIVER NETWORK

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Journal of Hydrodynamics 2006年第2期18卷 237-242页

作者： ZHANG shu-tao WANG Dao-zeng Department of Mathematics College of Science China Jiliang University Hangzhou 310018 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China

By using the high-efficiency of four-stage calculation method named ＂channel-junction-channel＂ and considering the influence of temporal and spatial variation of aquatic environmental capacity, an optimization method of aquatic environmental capacity for tidal river network was worked out. The method not only reflects characteristics of unsteady flow with variable directions, but also indicates that aquatic environmental capacity is influenced by boundary condition and water quality standard, etc. It has been applied to the regional program of Pudong area in Shanghai, and the computed results agree well with the practical data.

关键词： tidal river network optimization environmental capacity point source pollution

“每欲追风去,甘为汗漫游”——试论陶澍和魏源

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安徽史学 2007年第4期 32-38页

作者：陶用舒湖南城市学院湖南益阳413049

陶澍、魏源都是中国近代史上最杰出、最有影响的人物,一个是道光年间最杰出的封疆大吏,一个是道光年间最杰出的思想家。他们都生长于湖南的资江之泮,既有深厚的友谊,又以幕主和僚属的关系长期共事。陶澍事业的成功,有魏源参赞谋划之力;... 详细信息

陶澍、魏源都是中国近代史上最杰出、最有影响的人物,一个是道光年间最杰出的封疆大吏,一个是道光年间最杰出的思想家。他们都生长于湖南的资江之泮,既有深厚的友谊,又以幕主和僚属的关系长期共事。陶澍事业的成功,有魏源参赞谋划之力;魏源思想的成熟,则有陶澍提携培养之功。

关键词：陶澍魏源经世致用改革

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陶澍与包世臣关系探微

安徽史学 2008年第6期 37-44页

作者：陶用舒湖南城市学院湖南益阳413000

陶澍和包世臣是近代中国地主阶级改革派的核心骨干,嘉道年间经世致用思潮的主要代表。包世臣是陶澍的主要幕僚,他们开始突破"重农轻商"的传统观念,提出了"利商"的思想和政策;并共同设计了对漕运、盐务等有关国计民生大政的改革,他们所... 详细信息

陶澍和包世臣是近代中国地主阶级改革派的核心骨干,嘉道年间经世致用思潮的主要代表。包世臣是陶澍的主要幕僚,他们开始突破"重农轻商"的传统观念,提出了"利商"的思想和政策;并共同设计了对漕运、盐务等有关国计民生大政的改革,他们所推行的海运、票盐更是改革派的主要成果。同时,他们对当时货币危机的原因、对禁烟运动和抗击外国侵略者,都有共同的认识,是中国近代杰出的爱国主义者。

关键词：陶澍包世臣改革派经世致用爱国主义者

Conceptual understandings of the ecological engineering issues in China and abroad

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Journal of Environmental Sciences 2000年第2期12卷 78-83页

作者： Xu, Fu-Liu tao, shu Departemnt of Urban and Environemmal Sciences Peking University Beijing 100871 China

The research on ecological engineering has been lasting for more than four decades. As a new, cheaper, environmentally acceptable and alternative techniques, ecological engineering has been applied to many aspects, including ecoagricultural engineering, ecosystem restoration, environmental conservation, and pollution control. This paper presents a conceptual understanding on the issues of ecological engineering, including its origin, concepts, goals, principles and applications.

关键词： ecological engineering ecologist engineer CLC number: X171 4 Document code: A

An Efficient Synthesis of Ethyl 7-Chloro-6-fluoro-l-methyl-4-oxo-1, 4-dihydro-[1, 3]thiazeto[3, 2-a]quinoline-3-carboxylate as Intermediate of the Prulifloxacin Containing Tricyclic Fluoroquinolone

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Chinese Chemical Letters 2006年第6期17卷 714-716页

作者： shu tao MA Hong Xiang LOU School of Pharmacy Shandong University Jinan 250012

Novel ethyl 7-chloro-6-fluoro-l-methyl-4-oxo-1, 4-dihydro-[1, 3]thiazeto[3, 2-a]quino- line-3-carboxylate 2 was prepared from 3-chloro-4-fluoroaniline in eight steps. It can be used as a new intermediate for the synth... 详细信息

关键词： Synthesis tricyclic fluoroquinolone.

Deformation mechanism and hydrocarbon significance of Eocene organic-rich fine-grained soft sediments in the Leijia Region,Liaohe Depression

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Frontiers of Earth Science 2024年第1期18卷 83-97页

作者： Yijie WEN Jianguo ZHANG shu tao Chenyu CAI School of Energy Resources China University of Geosciences(Beijing)Beijing 100083China Key Laboratory of Strategy Evaluation for Shale Gas(Ministry of Land Resources) China University of Geosciences(Beijing)Beijing 100083China School of Foreign Languages China University of Geosciences(Beijing)Beijing 100083China

The deformation structure of soft sediments has always been a research hotspot,which is of great significance for analyzing the tectonic and sedimentary evolution background of a basin,as well as the physical properties of *** studies have reported that a large number of soft sediment deformation structures are developed in the western part of Liaohe *** this study,through core observation and thin section identification,various types of deformation structures are identified in the core samples which are collected from the upper Es4 in the Leijia region,western sag of Liaohe depression,such as liquefied dikes,liquefied breccia,convoluted laminae,annular bedding,synsedimentary faults,vein structures,*** on the characteristics of core structure,single well profile and continuous well profile,combined with the regional background,this study clarifies that the deformation structure of soft sediments in the study area is mainly caused by seismic *** is found that the permeability and porosity of deformation layers in the study area are higher than those of the undeformation layers,which proves that the deformation structure of soft sediments has a good effect on improving the physical properties of reservoirs.

关键词： soft sediment deformation structure Liaohe depression organic-rich fine-grained soft sediments hydrocarbon significance

Evolution of Spiral Waves in Excitable Systems

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Communications in Theoretical Physics 2009年第4期51卷 621-626页

作者： REN Ji-Rong ZHU tao MO shu-Fan Institute of Theoretical Physics Lanzhou University Lanzhou 730000 China

Spiral waves, whose rotation center can be regarded as a point defect, widely exist in various two-dimensional excitable systems. In this paper, by making use of Duan＇s topological current theory, we obtain the charge density of spiral waves and the topological inner structure of its topological charge. The evolution of spiral wave is also studied from the topological properties of a two-dimensional vector field. The spiral waves are found generating or annihilating at the limit points and encountering, splitting, or merging at the bifurcation points of the two-dimensional vector field. Some applications of our theory are also discussed.

关键词： topological current spiral wave bifurcation theory of spiral wave

Monotonicity and Best Approximation in Banach Lattices

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Acta Mathematica Sinica,English Series 2009年第5期25卷 785-794页

作者： shu tao CHEN Xin HE H. HUDZIK Department of Mathematics Harbin Normal University Harbin 150080 P. R. China Faculty of Mathematics and Computer Science Adam Mickiewicz University Umultowska 87 61-614 Poznan Poland

Hudzik and Kurc discussed some best approximation problems in Banach lattices by means of monotonicities. This paper deals with more general best approximation problems in Banach lattices. Existence, uniqueness, stabi... 详细信息

关键词： Banach lattice uniform monotonicity strict monotonicity upper (lower) locally uniform monotonicity best approximation