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Concretely speaking, using the irreducible tensor theory, we deuced the formulism for fine-structure energies of boron-like atoms in the ground and first excited states, which involves spin-orbit, spin-spin and spin-other-orbit interactions; completing all the angular integrations and spin summations needed, we make the final expression for fine-structure energies of boron-like atoms in the ground and first excited states in a combination of radial integrations. Afterwards, employing the wave functions we got in Chapter Three, we accomplished all the radial integrations and so obtained the fine-structure energies.

具体地说,利用不可约张量理论导出了类硼离子基态以及第一激发态的精细结构的表达式,给出了自旋-轨道、自旋-自旋、自旋-其它轨道相互作用等所涉及的所有角向积分和自旋求和的解析计算方法,完成了角向积分、自旋求和的计算,使类硼离子基态以及第一激发态精细结构能级最终可以表示为径向积分之和;在此基础上利用以前所得到的非相对论性波函数,进一步完成了所有径向积分的计算,从而得到了对应能级的精细结构的理论计算值。

The new kind of transmission theory introduced in this article has been applied for patent (the application number is 200410012992.6) Some fundamental theory of the end face harmonic gear drive of oscillating teeth is investigated in this paper, which can benefit the design of the product and the popularization of the patent.

这种新型的传动装置属于空间的活齿传动机构,可以从根本上克服传统的径向谐波齿轮传动中柔轮的变形与其承载能力之间的矛盾,并可增加同时啮合的齿数,加大齿轮的模数,从而可以在保留径向谐波齿轮传动所有优点的基础上,使其所传递的功率增加数十倍。

Firstly, the equation for stress intensity factors under static uniform pressure is used as the reference case, and then the weight function for a thick-walled cylinder containing a radial edge crack can be worked out. Secondly, the dynamic stresses in uncracked thick-walled cylinders are solved under internal impulsive pressure by using mode shape function method. The solution consists of a quasi-static solution satisfying inhomogeneous boundary conditions and a dynamic solution satisfying homogeneous boundary conditions, and the history and distribution of dynamic stresses in thick-walled cylinders are derived in terms of Fourier–Bessel series. Finally, the dynamic stress intensity factor equations for thick-walled cylinder containing a radial edge crack subjected to internal impulsive pressure are given by dynamic weight function method.

首先采用静态内压下的应力强度因子作为参考解,得到了带径向边裂纹厚壁圆筒的权函数;然后用振型函数方法推导无裂纹厚壁圆筒在冲击内压下的动应力响应,分析中将相应的弹性动力学方程解分为满足非齐次边界条件的准静态解和满足齐次边界条件的动态解的叠加,利用傅立叶-贝塞尔级数展开,推导出了厚壁圆筒内动应力的响应历程和分布规律;最后由动应力权函数方法导出带径向边裂纹厚壁筒在冲击内压下的动态应力强度因子计算公式。

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。

Firstly, from Gauss' equations and relative motion equations, the relation of control impulse and relative motion was expressed as analysis formulas and simplified based on the near circular condition. By deeply analyzing the mechanism of impulses in each directions (radial, in-track and cross-track directions) effect on relative motion respectively, two maneuvers to establish formation flying are provided: one is to utilize the impulses in radial and cross-track directions, the other is to utilize the impulses in along-track and cross-track directions. Both of the two methods can establish satellite formation flying of any configuration. The method with impulses irradial and cross-track directions needs only 3 impulses, while the method with impulses in along-back and cross-track directions needs 4 impulses. Lastly, by an example of establishing a space-circle formation flying, two maneuvers were compared with each other in the amount of impulses and fuel consuming estimation.

首先由高斯型拉格朗日轨道摄动运动方程得到轨道坐标系中控制冲量与轨道根数偏差的关系,基于近圆轨道的条件简化并带入相对运动方程,得到控制冲量与相对运动的关系表达式;通过深入分析各个方向(径向、沿迹向与轨道面法向)的控制冲量对相对运动的影响,给出了分别用径向与轨道面法向控制冲量组合和沿迹向与轨道面法向控制冲量组合实现编队捕获的两种控制策略;最后给出了一个空间圆编队捕获实例,并从燃料消耗、施加冲量次数及捕获时间等角度对比研究了两种控制策略的特点。

The modified expression of the broad emission-line profiles ire derived for the outflow kinematics model of the BLR driven by the radiation pressure. Taking into account the difference between the two lines HeI λ5876 and Hβ, it is shown the fact that the observed line width of HeIλ 5876 is broader than that of Hβ cannot be explained by the popular outflow BLR model evoked by W. G. Mathews. For comparison, line profiles of the gravitational infall model and orbital disk model are also calculated; the later is in good agreement with the observations Thereupon, conclusion is reached that the gravitational infall is an important process in the real BLR gas motion.

1推导了辐射压加速宽线云团径向外流,以及引力下落和转动等BLR运动学模型的谱线轮廓表达式,并考虑到光致电离计算表明的云团本身对Hβ和HeIλ5876谱线的辐射差异,用数值方法计算了它们的谱线轮廓,发现普遍流行的辐射加速气体外流模型不能解释HeIλ5876线宽大于Hβ线宽的观测事实,而引力下落模型则可以较好地解释观测,因此我们倾向于认为、径向内流运动很可能是BLR内的发射线云团真实运动的一个重要成分。

Hydrostatic transmission is widely used in construction machine. The research of one of its hard cores, low speed high torque radial piston motor, is very important. To directly estimate the life of this kind of motor, and to design a orbit curve with the longest life at same condition, this paper gives theoretic research of the equal contact stress inner curve of radial piston motor. The research is divided into four parts:1 Taken all forces the piston endured into consideration when radial piston motor working, the force between roller and orbit is deduced.

静压传动技术在各类工程机械中得到广泛的应用,对作为其核心部件的径向柱塞式低速大扭矩液压马达的研究显得十分重要,为了能直接对这种马达进行寿命估计,并能在相同工况下求得寿命最长的轨道曲线,本文从设计等接触应力内曲线的角度对这类马达作探讨性的研究,主要从以下四个方面进行:(1)综合考虑径向柱塞式液压马达工作时的各种主要受力状况,对柱塞组件进行受力分析,并通过仿真分析影响轨道和滚动体间正压力的各个因素,得到正压力的简化表达式。

Two basic theorems are given by researching Hamilton's two steps linear differential equations of bender equations which provide widespread application methods of normal differential operator correspond to ladder operators,then the solutions of general equations are obtained by taking advantage of the two above theorems: The energy eigenvalue equation of one-dimensional oscillator; the common state of ; the radial equation of a bondage state of hydrogen atom; the radial equation isotropic three-dimensional harmonic oscillator; the infinity deep potential well of ball

本文通过研究束缚态本征方程里的哈密顿算符的二阶线性常微分形式,给出两个基本定理并证明,提供构造二阶线性常微分算符相应的阶梯算符的普遍实用的方法,然后利用这两个定理构造量子力学中常见力学量的阶梯算符,并用以计算其能量本征值和对应本征函数:一维谐振子的能量本征方程;共同本征态;氢原子束缚态径向方程;三维各向同性谐振子的径向方程;无限深球势阱。

A pulsator for a washing machine is provided, which comprises: a main body installed on a bottom of the washing tub, and having a fan chamber and a upper surface formed with at least a spout outlet; a spout fan having a fan shaft and a plurality of fan blades extending radially from the fan shaft, the spout fan rotates relative to the main body to eject washing water upwards through the spout outlet; a bearing means for rotatably supporting the fan shaft in a radial direction as well as an axial direction; and means for rotating the spout fan.

一种洗衣机波轮,包括:一个安装在洗衣筒的底部的主体,具有叶轮室以及形成有至少一个喷水出口的上表面;一个具有叶轮轴和多个从叶轮轴沿径向延伸的扇叶的喷水叶轮,该喷水叶轮相对于主体旋转从而产生向上的洗涤水流;可在径向以及轴向上旋转支承叶轮轴的支承部件;以及使喷水叶轮旋转的部件。

The improved confinements are different on different devices with different heating techniques, edge conditions and edge configurations.

H-模是托卡马克等离子体在一定的条件下出现的一种现象,它的实验结果显示一些共性,边界高约束模式总是伴随较大的边界负径向电场一起出现,一些装置的偏压电极、偏压限制器等实验也表明负的径向电场这种能力和特性。

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推荐网络例句

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面,更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值,分为几个相等的区间作为横轴,并将各区间内所测定值依所出现的次数累积而成的面积,用柱子排起来的图形,也叫做柱状图。

You rap, you know we are not so good at rapping, huh?

你唱吧,你也知道我们并不那么擅长说唱,对吧?