查询词典 laplace transform

The numerical results are obtained by using the inverse Laplace transform method; and the results are used to analyze the influences of the coupling parameters of thermo-hydro-mechanical dynamic response.

采用Laplace逆变换得到数值结果，分析了热流固耦合参数的影响特性，并将热流固耦合结果与热弹性条件下的结果进行比较，以验证热流固耦合条件下结果的正确性。

Durbin is applied to realize inverse Laplace transform.

Durbin的方法实现Laplace逆变换。

With the aid of inverse Laplace transform, the main reliability indexes of the system such as system availability and reliability can be calculated.

假定每个部件仅有2种状态：工作或失效，那么系统的状态过程是一个时齐的离散的马尔可夫链，它可以产生1列微分方程，借助于拉普拉斯逆变换可计算出该模型的主要可靠性指标--系统的可用度及可靠度。

In §1. 2, we gave the definition of the Riemann-Liouville operators of the fractional calculus and the basic properties of these operators. In§1. 3, we introduced the definition of the generalized Mittag- Leffler function E〓 and proved the inverse Laplace transform formula below,〓(1) which was used frequently in this paper.

在§1.2节中，主要介绍了Riemann-Liouville型分数阶微积分算子的基本定义以及主要性质，在§1.3节中则给出了广义Mittag-Leffler函数〓的定义及其基本性质，同时证明了如下Laplace逆变换公式：〓在本文中，公式（1）将被多次引用。

The results of numerically inverse Laplace transform are used to analyze the influences of boundary condition of tunnel and transversely isotropic property of soil on the stress,displacement and pore pressure.

由于隧道横断面尺寸远小于其纵向长度，因此，可以简化为平面应变问题进行求解。如果隧道埋深大于其半径的10倍时，这种类型的隧道可以假设为深埋隧道[1]。

Furthermore, by using the corresponding inverse Laplace integral transform and numerical solution of integral equation, the displacement and axial force as well as the shear stress of the pile are obtained.

对变换域内的积分方程采用Schapery逆变换方法得到时域内单桩的近似积分方程。数值求解所得的积分方程可以得到桩的沉降、轴力、剪力和孔压。

Two special cases are discussed: flow due to a constant pressure gradient and flow due to a periodic one; In chapter 4, on the basis of the method of fractional element proposed by Schiessel et al and of the generalized fractional element networks proposed by Xu and Tan and by the use of discretization method for solving the inverse Laplace transform, we obtain the creep compliance of Zener and Poynting-Thomson models which are composed of the generalized fractional element networks.

并讨论了如下两种特殊情形：常压力梯度下的流动和周期性压力梯度下的流动；第四章在Schiessel等提出的分数阶单元法和徐明瑜等提出的广义分数阶单元网络的基础上，应用离散求逆Laplace变换的方法，给出并讨论了广义分数阶单元网络Zener和Poynting-Thomson模型的蠕变柔量。

As a typical example of the application of system theory to the material science, the method of transfer function has been applied in this paper to convert the operational impedance from frequency domain to time domain by inverse Laplace transform in order to study the hydration dynamics of cement .

应用传递函数方法，通过Laplace逆变换将运算阻抗从频域转换成时域，以此求得水泥水化动力学曲线，结果与其它方法相符。此方法还可了解水泥水化过程的机理，对动力学过程具有普遍性

This paper analyzes the structure and distributed parameters of electrostatic discharge simulator during discharge, establishes a 9-component circuit model of BMM-ESD,obtains the current expression in complex frequency domain,and then gets a ESD current expression in time domain by Inverse Laplace transform.

为进一步发展BMM-ESP电流的电路建模求解法，分析了静电放电测试环境在实际放电测试过程中的寄生参量并建立了一个9元件ESD电路模型，求得了电流在复频域的表达式，进而通过拉普拉斯反变换解得了BMM-ESD电流时域解析式。

Special attention should be paid when we apply the decomposition method to two-point boundary value problems, it is necessary to solve a algebraic system;It should be noted that a modification of inverse operator should be made when dealing with singular boundary value problems;Laplace transform and Pade approximants can be coupled to enhance the efficiency of the decomposition method.

比如，在求解两点边值问题时就需要特别注意，这时需要采用待定系数法，最后会涉及到系数方程组的求解；在处理奇异边值问题时需要重新定义逆运算；不少研究人员还把分解方法与Laplace变换和Padé逼近相结合来进一步提高分解方法的精度。

It was just a normal day of school

那只是上学的普通一天

Which is a very good reference in this issue.

这是一个在这个问题上很好的参考。