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We have obtained the exact solution of the electrical potential functions and power line functions and plotted the relative equipotential line maps and power line maps ;Meanwhile, we have made the necessary discussion.

对偏心圆柱面带电导体和分离圆柱面带电导体这两个不同边界问题的静电场进行了统一的描述,严格地求出了电势函数和电场线函数,作出了相应的等势线簇图形和电场线簇图形,并且进行了必要的讨论。

For the long composite cylindrical panels, including the influences of the transverse shear deformation, rotatory inertia and initial geometric imperfections, the nonlinear dynamic equations of the long composite cylindrical panels were derived from Hamilton's philosophy. The nonlinear partial differential equations were transformed to ordinary differential equations by expansion in series and solved numerically by fourthorder Runge-Kutta method.

针对含初始几何缺陷的复合材料圆柱曲板,考虑横向剪切变形、转动惯量、初始几何缺陷以及非扁壳等诸多因素,利用Hamilton原理导出复合材料长圆柱曲板的非线性动力方程;用级数展开把非线性偏微分方程组转化为二阶常微分方程组,并由四阶Runge-Kutta方法数值求解。

Shear stress is calculated based on Brinkman equation using the finite volume method with proper boundary conditions.

可渗透圆柱圆柱阵列之间的间隙物使用具有不同渗透率的多孔介质模型,基于Brinkman方程,配以适当的边界条件,采用有限体积法进行数值求解。

Three components of a force vector applied to the columnar feeler are identified from contact areas of four conical feele...

施加到圆柱触头上的力的三个分量可以通过该圆柱触头所对应的2×2 个圆锥触头与光波导板接触时溢出的光斑面积确定。

Then, the differential equations are solved by the Fourier expanding and Hankel integral transform method. Integral solutions of soil skeleton displacements and pore pressure as well as the total stresses for poroelastic media are obtained. Furthermore, a systematic study on Lamb's problems in transversely isotropic saturated half-space is performed. Integral solutions for surface radial, vertical and tangentical displacements are obtained both in the case of drained surface and in the case of undrained surface excited by vertical and tangentical harmonic resources respectively. Numerical results show the obvious difference between the model of isotropic saturated poroelastic media and that of transversely isotropic saturated poroelastic media.

其次,基于Biot波动理论,在圆柱坐标系下求解了横观各向同性饱和土的Biot波动方程:通过引入位移函数,在圆柱坐标系下将横观各向同性饱和土的Biot波动方程转化为两个解耦的6阶和2阶控制方程,然后根据方位角的Fourier展开和径向Hankel变换,求解波动方程,得到以土骨架位移和孔隙水压力为基本未知量的积分形式一般解,并用一般解给出了饱和土总应力分量的表达式;再以基本解为基础,系统地研究了横观各向同性饱和半空间体的Lamb问题,考虑表面排水或不排水两种情况后,首次得到横观各向同性饱和半空间体在表面竖向和水平谐振力作用的下径向、竖向和周向位移的解析解。

The nonlinear dynamic equations including the initial geometric imperfections of laminated composite cylindrical shells were derived from Hamilton's philosophy. Assuming the transverse displacements to be composed of axially symmetrical part and axially asymmetrical part, the governing equations expressed as displacement forms of dynamic buckling were obtained by Galerkin method. The equations were solved by finite difference method. The effects of impact velocity, lamination angle, initial geometric imperfection on the axial dynamic buckling of laminated composite cylindrical shells were discussed.

由Hamilton原理导出包含初始几何缺陷的复合材料层合圆柱壳的非线性动力方程;将横向位移设为对称及非对称两部分,由Galerkin方法得到以位移形式表达的动力屈曲控制方程,通过有限差分方法求解;讨论了冲击速度、铺层角度、初始几何缺陷等各种因素对复合材料圆柱壳轴向冲击动力屈曲可能产生的影响。

And then charged in accordance with Circle uniform electric field distribution on the axis, and further discussion of uniform cylindrical surface at its axis and uniform electric field around charged spherical electric field generated by the results and full compliance with the Gauss theorem.

以均匀无限长带电直线的电场分布为基础,运用微元法和叠加原理研究了无限大均匀带电平面和无限长均匀带电圆柱面在其周围电场分布情况。然后根据均匀带电圆环轴线上的电场分布,进一步讨论均匀圆柱面在其轴线上的电场和均匀带电球面在其周围产生的电场,所得结果与高斯定理完全符合。

The equation and the mathematical model are acquired just after studying of the theory of gearing, and the mathematical model also result from the actual manufacturing method. Then, the paper accomplish the accurately 3D-modeling of the four generally used types of gears: cylindrical spur gean cylindrical helical gean straight bevel gear and curved-tooth bevel gear.

利用具有强大三维造型功能的工程软件实现了四种常见齿轮:圆柱直齿轮、圆柱斜齿轮、直齿锥齿轮和弧齿锥齿轮的三维造型,解决了齿轮的精确三维建模难题。

According to the biaxial reciprocating gear-driven principle that presents by professor He guo jin in this thesis, the biaxial reciprocating cylinder gear reducer has been designed and interiorinput power of this reducer is forty watt.

本文根据何国金教授提出的两平行轴间多级圆柱齿轮来复传动原理,设计了一台两平行轴大速比来复传动圆柱齿轮减速器,其输入功率为40w,这种减速器中的双联齿轮与轴之间为空套联接,双联齿轮所在的轴段只受弯矩,不受扭矩;也就是说,输入轴只有靠近电动机一端的20mm长度上受扭矩,输出轴只是在靠近外伸输出端与其键联接的齿轮和外伸端部之间承受扭矩,因此轴的扭转刚度高。

The line,at which the tooth intersects the graduated cylinder,is an arc in the developed surface of the cylinder.The tooth profile in the middle section of tooth width is an involute.

它的特点是:轮齿与其分度圆柱面的交线在分度圆柱面所展开的矩形中为圆弧;而且在齿宽中央截面内为渐开线齿形。

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