应用含参变量积分变换的方法，给出了一类无穷积分的求值公式。
It is given a evaluation formula for a class of infinite integrals by applying Parametric Variable integral transformation.
数学分析中的一种积分变换，可用来解决特定类型的偏微分方程序。
In mathematical analysis, an integral transform useful in solving certain types of partial differential equations.
利用积分变换方法得出了两相材料中作用简谐集中力时的格林函数。
By using Fourier transform method, the Green function of a point harmonic force applied at a bi-material plane is obtained.
在圆柱坐标系中利用积分变换法，求解热传导和热弹性力学方程组。
The equations of heat conduction and thermoelastic dynamics are solved through integral-transform method in circular cylindrical coordinates.
本文利用积分变换方法求解皮肤层在表面压力作用下的蠕变响应问题。
The creep of a skin layer under a distributed surface pressure was solved by an analytical method using Hankel transform and Laplace transform.
建构主义教学观为复变函数与积分变换的教学提供了重要的指导意义。
Constructivism sets a new Angle of viewing teaching and learning, it provides an important direction of the teaching of complex variables and integral commutation.
用积分变换和积分方程研究多孔饱和半空间上刚性圆板的垂直振动问题。
The vertical vibration of a rigld circular plate on a poroelastic half space is studied by using the technique of integral transform and integral equation.
用积分变换和积分方程研究多孔饱和半空间上刚性圆板的垂直振动问题。
Then the dual integral equations of the venical vibration of a rigid circular plate on a fluid-saturated poroelastic half space are established according to the mixed boundary permeability condit.
采用积分变换与积分方程研究了单层饱和地基上刚性基础的竖向振动问题。
The vertical vibration of a rigid circular footing resting on a single-layered saturated ground is studied by employing the method of Hankel transform and integral equation.
另一种处理方法是只对弥散项实施积分变换，应用边界条件，得出变分方程。
The other method is to perform the integration by parts only to dispersion term, then introduce the boundary conditions, and finally obtain the variation equation.
利用二维有限积分变换的方法推导出了四边固支矩形厚板位移和内力的精确解。
The exact solutions of displacement and inner force for clamped rectangular thick plate were deduced with two-dimension finite integral transform method.
利用积分变换技术，得到不同压电介质界面上的反平面运动裂纹问题的分析解。
The problem of an anti plane Griffith crack moving along the interface of dissimilar piezoelectric materials is solved by using the integral transform technique.
采用积分变换和传递矩阵方法，求解了成层土在内部环形荷载作用下的基本解；
The fundamental solutions for displacements and stress components of the layered soil due to unit internal ring loading are first derived with integral transforms and the transfer matrix method.
讨论了解析函数子族的积分变换，相应地给出了一类近于凸积分算子的某些结果。
In this paper, integral transforms of functions belong tot he class are investigated, some results of a close to convex integral operator are given as well.
本文采用积分变换的方法，推导出正交各向异性有限深地基域内受集中力作用的解答。
The fundamental solutions for the two-dimensional orthotropic layered foundation subjected to a concentrated load acted in any direction can be deduced by using the integral transforms.
本文主要对积分变换在解微分方程及计算某些实积分方面的应用做了一点浅显的讨论。
In this paper, we mainly discuss the application of integral transformation in solving differential equations and calculating some real integral.
通过积分变换的方法可以求出每一层表面处位移与力之间的关系，进而形成层刚度矩阵。
The layer stiff matrix, which expresses the relation of force and displacement on surface of every layer, could be calculated to apply integral transformation.
这里讨论了瞬变电磁法2.5维正演模拟中的两个积分变换：傅里叶逆变换和拉普拉斯逆变换。
The author has discussed two integral transforms for 2.5-D transient electromagnetic forward modeling, namely, inverse Fourier transform and inverse Laplace transform.
基于势流理论，考虑流场的可压缩性，首先利用积分变换导得了势流问题的一个动力学倒易定理。
A reciprocal theorem of dynamics for potential flow problems is first derived by means of the Laplace transform in which the compressibility of water is taken into account.
在衍射理论基础上详细推导了三种再现算法(菲涅耳积分变换法、卷积法、傅立叶变换法)的数学表示。
Mathematical representations for three kinds of reconstruction algorithms (Fresnel integral, convolution and Fourier transform) of digital hologram are deduced based on the diffraction theory.
对太沙基单向固结微分方程进行拉氏积分变换求解。得到超静水压力u、固结度U、平均固结度U结论式。
A conclusive formula about the excess hydrostatic pressure u, consolidating degree U and average consolidating degree U is obtained.
在具体计算中，由于应用积分变换以及将多重无穷求和化为单一无穷和，极大地简化了计算，节省了计算时间。
In the calculation of the DGF, it is simplified by using the integral transformation and replacing the multi-infinite summation with a single one.
通过积分变换方法，求解热传导和热弹性力学方程组，由此得到激光辐照引起的温度场和热应力场的瞬态分布。
The equations of heat conduction and thermoelastic dynamics are solved through integral-transform method. Transient distribution of temperature field and thermal stress field is described.
在现有断裂动力学问题文献中，一般采用拉氏变换与积分变换方法，得到的回路积分最后还需借助于数值方法求解。
In present research on fracture dynamic problems, Laplace or integral transformation was generally used, and numerical methods had to be adopted to solve the loop integral.
采用积分变换技巧，推导出了环状光束通过湍流大气传输二阶矩束宽的解析表达式，并研究了湍流对环状光束扩展的影响。
The closed-form expression for the mean squared beam width of annular beams propagating through atmospheric turbulence is derived by using the integral transform technique.
分别用积分变换法和奇异摄动法，导出了数学模型在拉氏域内的解和时间域内的近似解析解，并用导得的解进行模型参数估值。
Parameters are evaluated by using an integral transform technique and a single perturbation technique. An improved method of moment is provided to treat experimental data.
在二维情况下，忽略热扩散效应，利用汉克尔积分变换法和最陡下降法，求解热扩散方程和波动方程，得出了位移的解析表达式。
The thermal equation and wave equation are solved by the methods of Hankel transform and steepest descent, and the general expression of displacement is obtained.
用概率积分变换理论，给出了控制过程均值、过程方差的标准化控制图，适用于小批量生产环境下对过程均值、过程方差的有效控制。
A standard control chart based on probability integral transform theory is given, which can be used to control process mean and variance efficiently in the low volume manufacturing.
通过引入辅助问题并利用积分变换方法，推导出二维、双层球壳红外CAT通用算法，并对内表面为第三类边界条件进行了分析和讨论。
A general solution of IR CAT for two dimensions and two layers spherical shell is developed by introducing an auxiliary problem and using the integral transforms.
通过引入辅助问题并利用积分变换方法，推导出二维、双层球壳红外CAT通用算法，并对内表面为第三类边界条件进行了分析和讨论。
A general solution of IR CAT for two dimensions and two layers spherical shell is developed by introducing an auxiliary problem and using the integral transforms.
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