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The potential functions of incident and scattered waves were expanded into Fourier-Bessel series, and the coefficients of scattering waves field were determined by imposing continuity conditions of stress and displacement at the soil-pile interfaces with the help of a set of cylindrical coordinate systems and in accordance with the Graff's addition theorem.

将倾斜入射波和散射坡的势函数展开成Fourier-Bessel函数的无穷级数的形式,利用一组圆柱坐标系统和Graff加法转换定理,通过施加桩土界面处的应力和位移连续的边界条件,求解出散射波势函数的待定系数,进而得到饱和土体中任意点的位移和应力。

With the algebraic result in form of piecewise function expressions, the excitation and propagation processes of stress waves, including the longitudinal wave, the transverse wave, and Rayleigh-wave, are discussed in detail.

基于该分段函数形式的代数结果,纵波、横波、Rayleigh波等应力波成分在弹性表面的激发和传播过程得到详尽分析,其中很多结论是已有的解析积分结果或者数值计算结果不曾得到的。

With the aid of the Laplace transformation, an analytical solution for the motion of the plane standing wave in the presence of free surface charge is obtained. Moreover, the motion of the cylindrical standing wave in the presence of free surface charge is solved using semi-analytical method.

通过变换的方法,求得了平面驻波漏电介质模型解析形式的初值解,并用半解析半数值的方法求解了柱面驻波漏电介质模型的初值解。

This paper mainly reviews Apollinaire as a spiritual leader of the poets of the new generation in France in the 20th century and a peak in French new poetic form. It also affirms him as a historic character in international literary circles in the 20th century who intented the past and ushered in the future. Through the reform of artistic form and content initiated by him in his cubist and futurist art-creating program, it expounds Apollinaire's important position and active contribution to the 20th contury...

本文主要评介阿波里奈尔作为法国20世纪初新一代诗人的精神领袖、法国新诗体的一座高峰,在20世纪国际文坛上承前启后的历史性角色,并通过他在立体未来主义艺术创作纲领中所倡导的艺术形式和内容的革新,论述阿波里奈尔的艺术思想和美学思想在20世纪文学运动中的重要地位和积极贡献。

Behind these palaces, extended in all directions, now broken,fenced in, battlemented like a citadel, now veiled by great trees like a Carthusian convent, the immense and multiform enclosure of that miraculous Hotel de Saint-Pol, where the King of France possessed the means of lodging superbly two and twenty princes of the rank of the dauphin and the Duke of Burgundy, with their domestics and their suites, without counting the great lords, and the emperor when he came to view Paris, and the lions, who had their separate Hotel at the royal Hotel.

这一座座华丽公馆的后面,是巧夺天工的圣波尔行宫的围墙,它伸向四面八方,广阔无边,形式多样,时而像一座城堡,有着断垣、绿篱和雉堞,时而像一座女修道院,隐没在大树之中。圣波尔行宫广大无比,法兰西国王在这里足可以冠冕堂皇地安顿二十二位诸如王太子或勃艮第公爵这样身份的王亲国戚,以及他们成群的仆役和侍从,且不谈那班大领主了;皇帝来巴黎观光时也在这里下榻;还有社会名流在这行宫里也各有单独的宅邸。

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中,我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型,同时给出了该模型L算子的具体矩阵表示形式,并定义了R矩阵,monodromy矩阵以及转移矩阵;接着利用L算子的矩阵形式,给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值,并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值;然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式,并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程;最后给出了模型的嵌套的边界K矩阵的具体形式,从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

The more general form of Snell's law must be used for the wave generated by mode conversion upon reflection.

它是斯奈尔定律一种特殊情况。斯奈尔定律更一般的形式满足由反射波波型转换产生的转换波。

The structure beam response control method based on the traveling wave model was discussed theoretically. The theoretical traveling wave model was applied to a long thin beam with piezocrystal actuators and the traveling wave active control law for the condition of making measurement upstream and performing control downstream was derived and the control compensator formula of the flexural waveguide in the form of transcendental function was deduced.

从理论上探讨了基于行波模型的结构梁响应控制方法,在梁及压电陶瓷作动器处采用行波理论模型,导出了上游测量、下游点施加控制的行波主动控制律及相应的具有超越函数形式的控制补偿器表达式。

Firstly, we study the theory and application of jump points and sharp cusp points detection by wavelet transform. The studied object is from white noise to correlated noise. We have studied the properties of correlated noise in wavelet transform, and the properties of deterministic function with jumps and sharp cusps in wavelet transform.

首先研究了研究了小波变换在突变点与尖点检测中的理论与应用,研究的对象由白噪到相关噪声,研究了相关噪声在小波变换的性质,以及对具有突变点和尖点的函数在小波变换下的性质,有关这些性质,我们均以定理形式给出,并给出了详细的证明。

The boundary value problems have been tranferred to the integral equations as in the uniform ocean. Then, for a vertical cylinder fixed on bottom with circular cross section, the analytical solution of the scattering preasure has been found.

再者,利用广义富里埃变换方法,求出了自由表面压力分布P2引起的二阶势的一般形式解,证明了所求得的二阶势的远方行为引力相当于二个波系:自由辐射波和强制压力波。

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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?