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However,authors still do not find the relevant references on convergence and symmetric problems of the semi-analytical solution.Based on the semi-analytical solution for Hamilton canonical equation theory,the formulations of the clamp and simply supported and symmetric boundary conditions on the Hamiltonian element are derived by the variational principle.Several numerical examples show that with increase of meshes,the convergence rate of the semi-analytical solution is faster than the convergent rate of traditional finite element method based on displacement.

①在厚度上没有任何位移和应力模式的假设,由于传递矩阵方法的引入,从理论上讲,不受板壳厚度或层合板壳层数的限制;②采用弹性力学的Hamilton正则方程半解析法,可以克服边界的局部化效应[8];③由于在平面内或圆柱壳的曲面内采用了有限元法,所以一般的板壳问题不受结构侧面边界条件的限制,在复杂工程板壳问题上具有广泛的应用领域。

For gas flow past cylinder, the characters of flow field in different Mach number and Knudsen number condition were investigated, and especially for low Knudsen number cases, the results were compared with calculating results of Euler's equation. It showed that they are correspondent by comparing the characters of bow shock and wake. The convergence rates of different high resolution and implicit schemes were also investigated. The convergence behavior of the implicit WENO scheme developed in this paper is better than others. For gas flow past NACA 0012 airfoil, the calculating results were compared with results of experiment. It showed that the results of WENO scheme are of higher accuracy for the case with angle of attack.

在圆柱流场时,我们探讨不同马赫数且不同纽森数时的流场特性,并在低纽森数时,与那维尔-史托克方程式的计算结果比较,我们比较了弓形震波及尾流附近的特性,其结果是相当符合的,同时我们也比较不同高解析隐式算则的收敛历程,从收敛历程图可得到,本文发展出来的隐式WENO算则有较佳的收敛效果;在NACA 0012翼形的流场中,我们将与实验结果做比较,发现利用WENO算则计算的结果,对於具有攻角的流场,亦有相当高的准确度。

By using the similarity of wave crest to cylindrical lens ,a new method for measuring the velocity of liquid phase wave in the range of specified wavelengths was proposed, its applicational scope was determined by means of simulation evaluation,and meantime,this model was simulated in the lab.

探讨了低表面张力液体的表面波波速与波长的关系,利用该液体的单个波峰性质与圆柱透镜性质相似的特点,提出了一种新的在特定波长范围内测量该液体相速度的方法,并通过模拟计算确定了该测量方法的适用范围,同时在实验室模拟了该模型,实验结果表明在一定范围内该测量方法具有较高的精度。

The relationship of wave velocity to wavelength of surface wave of liquid with low surface tension was discussed.By using the similarity of wave crest to cylindrical lens,a new method for measuring the velocity of liquid phase wave in the range of specified wavelengths was proposed, its applicational scope was determined by means of simulation evaluation,and meantime,this model was simulated in the lab.

探讨了低表面张力液体的表面波波速与波长的关系,利用该液体的单个波峰性质与圆柱透镜性质相似的特点,提出了一种新的在特定波长范围内测量该液体相速度的方法,并通过模拟计算确定了该测量方法的适用范围,同时在实验室模拟了该模型,实验结果表明在一定范围内该测量方法具有较高的精度。

Aconnector is an injection molding from the positioning kits and installed in the positioning of the Inner-Block, packaged in the seat of the spring and reed composition, described the position set of cylindrical Chengyuan, the location of the hole sets A circular from the convex to capacity at the first spring home district and the Department of card system for the second district of the blocks in the positioning of the sets of holes in the first referred to the Ministry, since the port inside the shaft Two symmetrical to the hole within the targeted slot, a connector and adapter combination of positioning, positioning slot in the rear, the agreement sets in the central part of setting the level of L-shaped slots, so that the connector and adapter reliable combination of the Practical use of new high-strength engineering materials first injection molding, greatly simplified the process, a connector improve the accuracy of the positioning trough of the utility model to improve, even if the products improve the safety and reliability, and more convenient assembly, product structure is simple And optimize the manufacturing process, reducing costs and improve productivity.

一种连接器是由注塑一次成型的定位套和安装在定位套内的机座、套装在机座上的弹簧和簧片组成,所述的定位套呈圆柱状,该定位套的内孔由一内凸圆隔出容置弹簧的第一区部和卡制机座的第二区部,在定位套的内孔,位于所述的第一区部处,自端口向内,轴向对称设置两条内孔定位槽,起到连接器与适配器结合的定位作用,在该定位槽尾部,约定位套的中部设置L形水平槽孔,使连接器与适配器可靠结合;本实用新型采用高强度工程材料一次注塑成型,大大简化了加工过程,提高了一种连接器的精确度,本实用新型定位槽的改进,即使产品安全可靠性提高,又更方便组装,产品结构简单、制造工艺优化,从而降低了成本,提高了生产率。

A connector is an injection molding from the positioning kits and installed in the positioning of the Inner-Block, packaged in the seat of the spring and reed composition, described the position set of cylindrical Chengyuan, the location of the hole sets A circular from the convex to capacity at the first spring home district and the Department of card system for the second district of the blocks in the positioning of the sets of holes in the first referred to the Ministry, since the port inside the shaft Two symmetrical to the hole within the targeted slot, a connector and adapter combination of positioning, positioning slot in the rear, the agreement sets in the central part of setting the level of L-shaped slots, so that the connector and adapter reliable combination of the Practical use of new high-strength engineering materials first injection molding, greatly simplified the process, a connector improve the accuracy of the positioning trough of the utility model to improve, even if the products improve the safety and reliability, and more convenient assembly, product structure is simple And optimize the manufacturing process, reducing costs and improve productivity.

一种连接器是由注塑一次成型的定位套和安装在定位套内的机座、套装在机座上的弹簧和簧片组成,所述的定位套呈圆柱状,该定位套的内孔由一内凸圆隔出容置弹簧的第一区部和卡制机座的第二区部,在定位套的内孔,位于所述的第一区部处,自端口向内,轴向对称设置两条内孔定位槽,起到连接器与适配器结合的定位作用,在该定位槽尾部,约定位套的中部设置L形水平槽孔,使连接器与适配器可靠结合;本实用新型采用高强度工程材料一次注塑成型,大大简化了加工过程,提高了一种连接器的精确度,本实用新型定位槽的改进,即使产品安全可靠性提高,又更方便组装,产品结构简单、制造工艺优化,从而降低了成本,提高了生产率。

IGMs are a kind of experimentally new-identified optical mode, standing with apparent potential in design and application. However, the mathematical expression of IGMs under Elliptic Cylindrical coordinates, preventing us from understanding IGMs instinctively, stands a formidable challenge in application. The pure mathematical expressions of IGMs are composed by a great deal of calculation, which also bids us no help in common use. I am, therefore, prompted to build an easier mathematical approach in this study.

Ince- Gaussian modes为在实验中可见的一种崭新型态的光学模态,对於我们在应用和设计上的实现,拥有许多潜力;然而,由於IGMs是在椭圆圆柱座标系下的数学来表示,造成了我们无法直觉的去了解,也成了我们在使用上的一大考验; IGMs的不易亲近,也让我们无从进一步去了解其物理特性,若纯粹以数学出发,又包含了庞大的运算,无法达到普遍的运用,是故我希望能在这篇论文使用简单的数学描述来达成对IGMs较平易近人的理解。

Through carrying out force bearing analysis on the spring ring and utilizing the correlated theory of mechanics of materials,the relationship between bending moment and bending angle was derived while the spring was subjected to the action of bending moment.The computation formula of bending angle of spring was obtained,and an optimization was carried out on the parameters.

同时,对密圈圆柱螺旋弹簧的弯曲刚度和横向刚度的计算也有一定的研究,以往的普遍研究方法是将整个弹簧等效为一等截面的弹性圆柱体,基于普通弹性理论的方法导出了弹簧的弯曲刚度和横向刚度的计算公式,具有较大的误差[1,2]。

The axially symmetric torsion of rigid circular shaft of varying diameter embedded in an elastic half space is studied by line-loaded integral equation method, where the problem is formulated by distributions of fictitions fundamental loads PRCHS (point ring couple in half space) along the axis of symmetry in interval of the shaft and is reduced to a one-dimensional and non-singular Fredholm integral equation of the first kind and is easily solved numerically.

弹性半空间;本文用线载荷积分方程法研究嵌在弹性半空间的刚性变直径圆轴的轴对称扭转。利用将"半空间的点环力偶"这一虚的基本载荷沿对称轴的圆轴区间中分布就能使本问题归结为一个一维的非奇异的Ferdholm第一种积分方程,且很易用数值求解。文中给出刚性圆锥,圆柱,圆锥柱嵌在弹性半空间的扭转的数值计算的例并和他人的已知结果相比较。

The time must come when its gilded vaults which now spring so loftily, shall lie in rubbish beneath the feet; when instead of the sound of melody and praise the wind shall whistle through the broken arches and the owl hoot from the shattered tower; when the garish sunbeam shall break into these gloomy mansions of death, and the ivy twine round the fallen column; and the fox-glove hang its blossoms about the nameless urn, as if in mockery of the dead.

总有一天,这些高耸的镀金拱顶会变成踩在脚下的碎屑;其时,这儿决不会听到有什么音乐和赞美歌,只有破拱门里的飒飒风声,伴和着破塔上的枭啼—其时,眩目的阳光将穿进这些幽暗的墓堂,常春藤将攀绕在倾倒的圆柱上;毛地黄把花冠垂在无名者的骨灰瓮上,仿佛嘲笑里面的死人。

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