任意外型薄板非线性后屈曲问题的边界元解

本文就薄板后屈曲问题建立一组新型的边界元计算公式，用这组公式求解能方便处理各种边界问题，另外文中将面内应力分解成基本部份和附加部份，并利用微分算子分解理论导得了挠度的一个不同形式的基本解，由于计算公式中，实现了面内位移和挠度的解耦，从而使迭代过程得到简化，文末还对圆板后屈曲路径进行了计算，得到了满意的结果。     

La_2O_3和WSi_2增强MoSi_2基复合材料的摩擦磨损性能研究

选用MRH-5A型环-块摩擦磨损试验机测定了3种载荷和2种转速条件下La2O3和WSi2增强MoSi2基复合材料在滑动干摩擦时的摩擦磨损性能,采用扫描电子显微镜分析了复合材料磨损表面形貌.结果表明:La2O3和WSi2增强MoSi2基复合材料的抗磨性能优于MoSi2及WSi2/MoSi2材料;当载荷与速度乘积(pv)值小于183.04N·m/s时,La2O3和WSi2增强MoSi2基复合材料的磨损质量损失仅为相同条件下MoSi2的1/4～1/6和WSi2/MoSi2的1/2;这是由于La2O3和WSi2复合增强相存在硬化和韧化协同作用所致;随着pv值增加,La2O3和WSi2增强MoSi2基复合材料依次呈现犁削、粘着磨损和疲劳磨损特征.     

Die eingespannte Halbplatte mit verformbarem Randstück und sprunghaft veränderlichen Randlasten

Übersicht Der Verformungszustand isotroper Halbplatten mit sprunghaft veränderlichen Randbedingungen kann durch zwei stückweise analytische Funktionen (z) und (z) beschrieben werden. Setzt man geeignete Funktionenkombinationen aus (z) und (z), also Funktionen, welche die Randbedingungen beschreiben, über Randteilbereiche analytisch fort, so gelingt es, lineare Kopplungsprobleme (Hilbertprobleme) der genannten Lösungsfunktionen zu definieren. Die Lösungen dieser Kopplungsprobleme zeigen, daß im Bereich von Randpunkten mit sprunghaft veränderlichen Randbedingungen Querkraft und Momentensingularitäten auftreten, die sogar oszillierenden Charakter haben können.

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Summary The displacement of isotropic half-plates with mixed boundary conditions can be described by two sectionally holomorphic functions (z) and (z). Continuing analytically suitable combinations of the functions (z) and (z), defined by the boundary conditions, linear Hubert problems for the solution functions can be obtained. The solutions of these problems show, that in points of abrupt changes of the boundary conditions singularities in torques and in shear forces may arise, which might even have oscillating character.

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Auszug aus einer von der Fakultät für Bauwesen der Technischen Universität München angenommenen Habilitationsschrift. Referent: Prof. Dr.-Ing. G. Knittel, Korreferent: Wiss. Rat Dr.-Ing. H. Grundmann.     

现代力学中的现代数学方法

本文简要介绍了力学与数学再次结合趋势的历史背景和现状。根据当代科学技术向力学提出的问题,简要综述了现代力学所涉及的现代数学领域和方法.     

General solution of the two-dimensional heat equation for two concentric domains of different material

The general solution of the two-dimensional heat equation is given for two concentric domains consisting of different materials; it is represented as integrals over the given source and boundary distribution multiplied by a Green's function. The Green's function in this problem is given for any (linear) boundary condition of Sturm-Liouville type with constant coefficients. Examples are evaluated for source free problems with uniform initial temperature distribution and a boundary condition which corresponds to constant external temperature. Numeric evaluations show the development of the temperature distribution with time in compounds heated from outside and also for an isolated electric conductor which is cooled from outside after it has been heated by a short circuit.

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Allgemeine Lösung der zweidimensionalen Wärmeleitgleichung für zwei konzentrische Kreisbereiche verschiedener Materialien

Zusammenfassung In dieser Arbeit wird die allgemeine Lösung der zweidimensionalen Wärmeleitungsgleichung für zwei konzentrische Kreisbereiche mit unterschiedlichen Materialeigenschaften angegeben. Diese ist als quellenmäßige Darstellung gegeben, d.h. als Integral über die Wärmequellen im Inneren und am Rand und über die Anfangsverteilung, wobei alle mit der zugehörigen Greenschen Funktion multipliziert werden. Die angegebene Greensche Funktion gilt für alle beliebigen (linearen) Randbedingungen vom Sturm-Liouvilleschen Typ mit konstanten Koeffizienten. Es werden für quellenfreie Probleme mit homogener Anfangstemperatur und konstanter Außentemperatur Beispiele berechnet. Numerische Berechnungen zeigen die zeitliche Entwicklung der Temperaturverteilung für Zweischichtenanordnungen, welche von außen erwärmt werden, und für einen isolierten elektrischen Leiter, welcher nach einer Erhitzung durch Kurzschluß von außen gekühlt wird.

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Nomenclature a diffusion constant, m²/s - c specific heat for constant pressure, W_s/kgK - d₁ inner diameter, m - d₂ outer diameter, m - l length of the construction element, m - J_m, Y_m Bessel functions of m-th order - r, polar coordinates; m, rad - t time, s - T₀ initial temperature, K - T_e external temperature of the medium surrounding the compound, K - T(r, , t) temperature field - _n n-th eigenvalue of the characteristic equation - thermal conductivity, W/mK - (r, , t) heat source density, Ws/m⁵ - mass density, kg/m³     

Silver(I)-mediated reaction of trimethylsilylated arylacetylenes with sulfonyl chlorides:Unexpected formation of vinvl sulfones

A novel reaction of trimethylsilylated arylacetylenes with sulfonyl chlorides was performed in the presence of silver nitrate or triflate.Conjugated vinyl sulfones as dramatic products were obtained in moderate yields and with Z-selectivity.A free radical mechanism has been proposed to account for the formation of the products.     

Effects of surfactants on enzyme-containing reversed micellar system

With the development of colloid interface and enzyme technologies,enzyme-containing reversed micellar system has been receiving much attention in bioseparation and bioconversion. Because of its high efficiency,it has brought new opportunities for the development of molecular biotechnology. Reversed micelles represent nano-sized aqueous droplets stabilized by surfactant amphiphiles inside the bulk organic solvents. The entrapped enzymes have enhanced activities under those conditions as suited in the lipid b...     

The Decision of Prime and Primary Ideal

We give more efficient criteria to characterise prime ideal or primary ideal.Further,we obtain the necessary and sufficient conditions that an ideal is prime or primary in real field from the Gr¨obner bases directly.     

Novel correction method for X-ray beam energy fluctuation of high energy DR system with a linear detector

A high energy digital radiography (DR) testing system has generated diverse scientific and technological interest in the field of industrial non-destructive testing. However, due to the limitations of manufacturing technology for accelerators, an energy fluctuation of the X-ray beam exists and leads to bright and dark streak artifacts in the DR image. Here we report the utilization of a new software-based method to correct the fluctuation artifacts. The correction method is performed using a high pass filtering operation to extract the high frequency information that reflects the X-ray beam energy fluctuation, and then subtracting it from the original image. Our experimental results show that this method is able to rule out the artifacts effectively and is readily implemented on a practical scanning system.     

Synthesis and magnetic properties of CdS/α-Fe_2O_3 hierarchical nanostructures

CdS/α-Fe2O3 hierarchical nanostructures, where the CdS nanorods grow irregularly on the side surface of α-Fe2O3 nanorods, were synthesized via a three-step process. The diameters and lengths of CdS nanorods can be tuned by changing the ethylenediamine (EDA) and Cd ion concentrations. The magnetic investigations by superconducting quantum interference device indicate that the hierarchical nanostructures have an Morin transition at lower temperature (230 K) than that of the single bulk α-Fe2O3 materials (263 ...