解析的

A new method based on the Fourier-Bessel series is proposed to calculate the higher-order harmonic components of a nonlinear ultrasound field in absorbing medium and an analytical solution of a series form is obtained. A closed analytical solution of the higher-order harmonics in the zeroth-order Bessel ultrasound field and the focused Gaussian ultrasound field is deduced to study the field property, especially the near-field property.

提出了一种基于Fourier-Bessel级数的新方法，用于计算吸收媒质中非线性超声场的高次谐波分量，得到其级数形式的解析解，由此推导出吸收媒质中零阶Bessel超声场、Gauss聚焦超声场高次谐波的封闭解析解，进而对其声场特性尤其是近场特性进行了研究。

The optimal control law obtained consists of linear analytic functions and a compensation term which is a series sum of the adjoint vectors. The analytic functions can be found by solving a Riccati matrix difference equation and a matrix difference equation. The compensation term can be obtained by a recursion formula that solves adjoint vector equations.

得到的最优输出跟踪控制律由状态向量的线性解析函数和伴随向量级数形式的补偿项组成，其解析函数由一次性求解Riccati矩阵差分方程和矩阵差分方程得到，补偿项由求解伴随向量差分方程的递推公式得到。

The analytic studies of the MITA procedure based on dynamics and the function of thermo-diffuse and thermo-conduction combine these three physic field systematically. Compared with situation function with thermo-balance method, the analytic studies based on dynamics have less parameters approximation, and more precision. Meanwhile, the discipline of the microwave energy absorbed by tissue is should studied also.

基于动力学和热扩散、传导方程的微波热致超声波机制解析解的分析，将上述三类物理场有机地结合在了一起，与基于热平衡的状态解析分析相比，这一方法更少地对三物理场所涉及的参数进行近似，能更准确地反映微波热致超声波机制。

Based on analytic method and set operation method,the geometric characteristic s of the intersection and union of two or three cylinders with their axes intersecting perpendicularly were studied.

采用解析方法和集合运算方法，首先对柱柱正交中的交集体和并集体的几何特性进行了研究，推导出了它们的表面积和体积的解析表达式。

The structure of analytic solution space is obtained and general form of the analytic solution is presented by means of Dirichlet Series. The convergence of Dirichlet Series solution is discussed.

根据比例延迟微分方程的性质，我们构造了Dirichlet级数形式的解析解，证明了Dirichlet级数形式解的收敛性，获得了保证方程解析解渐近稳定的充分条件。

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。

In the functionally graded elastic half-space and the functionally graded covered layer, the motion control equations for the antiplane shear wave are solved, the analytical solutions for displacement and stress are obtained, and with these analytical solutions, the dispersion equation of Love wave is obtained.

对功能梯度弹性半空间和功能梯度覆层的反平面剪切波的运动控制方程进行了求解，给出了半空间和覆盖层的位移、应力解析解，给出了Love波在该解析解下的频散方程。

For the case that the eigenstrains is in the form of linear function of Cartesian coordinates of the points of the inhomogeneity, the solution for the stress and strain fields is analytically derived based on the polynomial conservation theorem, the complex function method and conformal transformation together with the principle of minimum strain energy.

对于夹杂的特征应变为线性分布的情况，基于多项式保守定理，运用复解析函数法、保角变换和最小势能原理，获得了问题的封闭形式的解析解。

The industrialization process paraments of strawberry by vacuum freeze drying was tested at platform of JDG-230 vacuum freeze drying production line that have drying area :250 m~2,and aims at improving quality and econemic benefit of strawberry by vacuum freeze drying ,result demonstmted:①optimization industrialization process paraments:loading capacity:10.5 kg/m~2,deepfreeze temperature:-30℃,deepfreeze time:2.5 h,pressure of drying room while vacuum sublimation drying:110～130 Pa. pressure of drying room wh...

以干燥面积为250m2的JDG-230型真空冷冻干燥生产线为实验平台，以提高冻干草莓产品质量和经济效益为目标，对冻干草莓生产的工艺参数进行了工业化生产试验，结果表明：1工业化生产适宜工艺参数为：装盘量10.5kg/m2、速冻温度-30℃、速冻时间2.5h、升华干燥时干燥仓压力110～130Pa、干燥解析时干燥仓压力30～50Pa、解析时的物料温度45～50℃；2获得可应用于大工业化生产控制的草莓冻干过程曲线。

In this thesis, the virtual boundary integral equation is based on double layer potential with the virtual density to be determined on virtual boundary. Since this integral equation related to double layer potential only involves the computation of the normal derivative and second normal derivative of fundamental solution, the exponential integral function is not involved in it, so numerical computation for the exponential integral function is avoid.

本文则基于双层位势，引入虚拟矩密度函数来建立虚边界积分方程，并首先对时间变量进行解析积分，在虚、实边界上采用常单元和等额配点离散，该方程只涉及含基本解的法向导数及其二阶法向导数项的计算，对时间变量进行解析积分后，不会出现对指数积分函数的空间变量的积分计算。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失