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And by using the initial conditions as well as the end conditions, the dynamic problem is then transferred to a second kind Volterra integral equation about the function of the axial strain with respect to time which can also be solved successfully by the interpolation method. For piezoelectric and pyroelectric hollow cylinders, by following the solving procedure for elastic hollow cylinder and by using the electric boundary conditions, the dynamic problems are transferred to two Volterra integral equations about two functions of time, one is axial strain and the other is related to electric displacement, which can also be solved efficiently and quickly by employing interpolation method. The elastodynamic solutions of hollow spheres, which are made of elastic, piezoelectric and pyroelectric materials, respectively, for spherically symmetric problems are also obtained.

对于弹性空心圆柱,通过引入一特定函数将非齐次边界条件化为齐次边界条件,然后利用正交展开技术,导出关于时间函数的方程,再结合初始条件和端部边界条件,将原问题转化为关于一个时间函数的第二类Volterra积分方程,运用插值法可给出此积分方程的解;对于压电和热释电空心圆柱,利用求解弹性空心圆柱相似的方法,再结合电学边界条件,原问题转化为关于两个时间函数(轴向应变和与电位移有关的函数)的第二类Volterra积分方程组,同样可用插值法来构造相应的递推公式高效地求解此积分方程组。

Next the discussion in this study, about an ellipse with an angle of attack and two circular cylinders with different diameters in the flow, the aim of this study is investigated for the ability of the present numerical method by solving the suppression of the vortex shedding flow behind the two-cylinder system which was kind of difficult to reach by a Cartesian grid method. In this study, the suppression of the vortex shedding flow is tested to solve a uniform flow past through two different diameter cylindrical in the flow field with Fractional Step Method and Immersed Boundary Method.The numerical method which we investigated is showed that the results of the problem is appropriable in other literatures.

接著探讨流过具攻角之椭圆柱体流场及流过圆柱抑制涡漩逸出之流场,目的是要研究利用控制圆柱来抑制下游涡流的流场行为,本文采用分步法配合内嵌边界法数值解析一均匀流流经两不同直径的圆柱流场,来测试抑制涡流逸出的问题,根据现有的数值结果发现试验运用了合适的方法且得到令人满意的结果。

It is concerned with the optimal design of cylindrical shell on minimax deflection and minimal compliancy with arbitrary axisymmetrical boundary conditions and radial pressure, under the condition of the volume being constant.

研究在任意轴对称边界条件下和任意轴对称分布载荷作用下体积保持常数的圆柱壳的两类优化设计问题:极小化圆柱壳的最大挠度和极小化圆柱壳的柔度。

In this paper, based on the fundamental principle of the three-point method roundness error separation technique, the separation of cylindricity error factors and the reconstruction of the measured cylinder profile was intensively studied, and the methods of evaluating the cylindricity form error were discussed. Furthermore, the separation and reconstruction methods of the cylindricity error proposed in this paper were examined by the experiment.

本文采用三点法圆度误差分离技术的基本原理,重点研究圆柱度误差要素的分离和被测圆柱体形貌重构问题,探讨圆柱度形状误差的评定方法,并对本文所提的圆柱度误差分离及重构方法进行实验验证。

Several models of cylindricity error evaluation,such as MZC,LSC,MCC and MIC,were given,a constriction factor model of the Particle Swarm Optimization was introduced.

建立了圆柱度误差评价的最小区域法、最小二乘法、最小外接圆柱法和最大内接圆柱法的数学模型,将一种含收敛因子的粒子群优化算法应用于圆柱度误差的目标函数的优化问题。

Aiming at precision measurement of cylindricity,this paper puts forward a kind of method which can sep- arate the cross- section roundness error,the radius error of different cross sections,the initial coordinates of least square centers of measured cross sections and can reconstruct the pattern of the measured cylinder,i.

本文针对圆柱度误差的精密测量,提出了一种可分离截面圆度误差、截面半径差和截面最小二乘圆心初始位置并重构出被测圆柱形貌的方法,即三点法圆柱度误差分离与重构技术。

In the study of defect problems in elastic media, first, the uniform stress fields within a three-phase anisotropic elliptic inclusion in anti-plane shear is discussed; second, an exact solution is given for an edge dislocation in a three-phase composite cylinder model with a sliding interface; finally, an analytic solution is derived for two circular inclusions with circumferentially inhomogeneously imperfect interfaces interacting with a circular Eshelby inclusion in anti-plane shear.

在对弹性介质缺陷体问题的讨论中,我们首先探讨了面外剪切变形下各向异性三相椭圆夹杂中均匀应力场;其次研究了具有滑动界面的三相圆柱复合模型中的刃型位错问题;最后分析了面外剪切下具有环向非均匀界面的两个圆柱异相夹杂与一个圆柱Eshelby夹杂的相互作用问题。

In this paper, the relation between differential driven ratio accuracy and the common normal length error of cylindrical bevel wheel has been found by experimental method, which provides a efficient way for cylindrical bevel wheel manufacturer to control the common normal length error of the wheel.

通过实验研究,寻找出差动传动比的精度与斜齿圆柱齿轮的公法线长度误差的关系,从而为斜齿圆柱齿轮的加工提供一个可以控制斜齿圆柱齿轮公发线长度误差的有效方法

When a cylinder and a taper have the same undersides and the same heights, the bulk of the cylinder is 3 times as the bulk of the taper, and the bulk of the taper is 1 third of the bulk of the cylinder.

生:当圆柱和圆锥等底等高,圆柱的体积是圆锥的3倍,圆锥的体积是圆柱的1/3。

The experimental results show that the estimated strength of cylindrical specimens and core specimens taken from plate-like specimens under the condition of saturated surface-dry were good and the difference between the estimated strength and the measured strength is within 10%. For the plate-like specimens used in this study, measured the surface P-wave and internal P-wave, and investigate the difference between surface P-wave and internal P-wave velocities. Firstly, the internal P-wave velocity was recovered to the saturated surface-dry condition.

实验结果显示,350 kgf/cm2自充填混凝土及早强混凝土之圆柱试体及版试体所进行波速-强度关系曲线验证结果良好;而将圆柱试体及版试体套入粗骨材含量波速-强度关系式所得结果,其圆柱试体28天超音波强度预估差异约10%,显示试体28天处於面乾内饱和状态,以粗骨材含量配合波速量测来预估强度之结果良好。

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