For the transformed solution of the thermoelastic and heat conduction equations coupled problem, the analytical representation of the pole residues is obtained.
利用热弹体运动方程和热传导方程耦合问题的变换域解，求解其极点留数的解析表达式。
And so now we have to solve two coupled differential equations, which is a hopeless task.
我们要解决，两个成对的微分方程，这是无法解决的任务。
Theory of fiber optical parametric amplifiers (FOPAs) is introduced and the expression for the gain of FOPAs is deduced from the basic coupled wave equations.
介绍了光纤光学参量放大器的理论，基于耦合波方程推导出光纤光学参量放大器的增益表达式。
The coupled boundary integral equations and their reduced forms are deduced for hybrid mode problems, and these equations are discreted into a system of linear algebraic equations by moment method.
导出了关于混合模的耦合边界积分方程组及其退化形式，并用矩量法将之离散为齐次代数方程组，从而得波导的混合模传输常数；
Coupled with fluid equations for the electron and ion motion, the microwave discharge courses are calculated.
耦合电子、离子运动的流体方程，对微波等离子体的初始形成过程进行了数值模拟计算。
The modified scalar potential is used to reduce the order of the coupled equations in the comparison with the vector potential under the same node number.
计算量采用修正标量位，这样在同样的节点数下相对于矢量位它可以减少联立方程的阶数。
Coupled with circuit equations, the opening time of movable contact also can be calculated using iteration with the restriction of contact force.
通过耦合电路方程，并以动触头上的预压力为约束，经迭代运算，确定动触头的打开时间。
Due to space limit, the motion equations are often coupled when the micro positioning stage has multiple links and freedoms. Thus, synthesis and decouple are necessary.
当微定位台的结构是多环、多自由度时，由于空间的限制，通常其运动方程是耦合的，需对它进行综合分析和解耦。
By simplifying the coupled equations of DFG in waveguides, we provide analytical expressions of the conversion efficiency.
通过对波导中差频耦合方程的简化，推导出了转换效率的解析表达式。
The mathematical model of solute and water transport is composed of two coupled equations of water movement and solute transfer.
土壤水和溶质迁移的数学模型，可分别由水分运动、溶质运移两个方程耦合组成。
The result is a set of coupled, nonlinear integral equations for the baryon self-energy with a self-consistency condition on the single-particle spectrum.
结果得到了一组带有一个关于单粒子光谱自洽条件的耦合的，非线性的重子自能的积分方程。
In this paper, for the first time, the covariant prolongation structure theory is applied to coupled inhomogeneous nonlinear Schrodinger equations.
本文将协变延拓结构理论首次应用于非均匀两分量耦合非线性薛定谔方程组。
In numerical calculation, the paper employs the collocation method to compute the coupled boundary integral equations with quadrangle constant elements.
数值计算采用配置法计算耦合的边界积分方程，使用四边形常单元。
Numerical method is used in this paper to solve the heat and mass transfer coupled equations, the temperature and moisture fields in three periods of drying moist porous materials are obtained.
本文利用传热传质耦合方程，对带有移动边界的多孔介质干燥过程的三个干燥阶段的温湿度场进行了联合数值求解。
A set of coupled wave equations for multiple dimensional acoustooptic diffraction with multiple acoustic waves along different directions is put forward and its solutions are derived.
本文建立了沿不同方向的多个超声波信号作用下的多维声光衍射的耦合波方程，并求出相应的解。
On the bases of Non-Fourier and Non-Fick effects, coupled equations of high intense and rapid heat and mass transfer are founded and made numerical simulation.
在考虑非傅立叶效应和非斐克效应的基础上，对所建立的高强度快速传热传质的耦合方程进行了对流边界条件的数值模拟。
And, using the planar hologram diffraction theory, the coupled wave equations of the volumetric hologram grating diffraction have been derived and the diffraction efficiencies obtained.
将体全息光栅视为许多平面全息光栅的集合，利用平面全息衍射理论导出体全息光栅衍射的耦合波方程，并得到其衍射效。
Based on the nonlinear power coupled equations of fiber Raman amplifiers (FRA), the optimal design to the pumps source has been done with modified genetic arithmetic in this paper.
本文基于光纤拉曼放大器(FRA)的非线性功率耦合方程，利用改进的遗传算法对泵浦源实施优化设计。
Coupled with the structural equations, the models for transonic aeroelasticity in state-space are got.
耦合结构动力学方程，建立了基于状态空间的跨声速气动弹性分析模型。
Since relativistic effect excites the transverse electric mode in the waveguide, the coupled nonlinear equations have been derived from the beam frame.
由于相对论效应在波导中激起横电模式，我们在轴向波数和轴向电子速度为零的坐标系中导出了非线性耦合方程。
The coupled differential equations of the dimensionless beam width parameters of two optical beams are solved.
求解了两光束无量纲束宽参量的耦合微分方程。
The changed temperature will lead to stress. The stress is considered in constitutive equations, and the coupled equations of temperature and stress fields are obtained.
当冻土墙中温度发生变化时产生变温应力，把变温应力作为一种等效荷载在本构方程中加以考虑，得到温度场和应力场耦合的有限元方程。
Modified coupled-wave equations are used to calculate the effect of grating shape on coupling coefficient of the second-order gratings.
利用改进的耦合波理论计算了具体器件结构中光栅形貌对二级光栅耦合系数的影响。
This paper discusses the for methods of solving the coupled-by-damping equations of motion and their implementation on PC computers.
本文讨论了非经典阻尼系统运动方程的几种解法，并编制了通用软件。
This method obviously simplifies the derivation of formulas, and obtains the coupled equations with lower order.
此方法大大减少了公式推导量，而且得到的是降阶的耦合方程组。
In these differential equations, the concentration gradients of different reaction components are strongly coupled together.
微分方程中各个反应组分的浓度梯度强烈相互耦合。
Modulation instability in fiber grating with nonlinearity management is studied based on the nonlinear coupled-mode equations. The dispersion relation for modulation instability is obtained.
基于非线性耦合模方程，研究了非线性管理光纤光栅中的调制不稳定性，得到了调制不稳定性的色散关系。
From a group of simple air-sea coupled equations, introducing a new heating function of oceans to the air, we get an analytical solution of the air-sea coupled equations.
从简单海气相互作用方程组出发，引进新的海洋对大气加热函数，得到简单海气相互作用方程组的解析解。
From a group of simple air-sea coupled equations, introducing a new heating function of oceans to the air, we get an analytical solution of the air-sea coupled equations.
从简单海气相互作用方程组出发，引进新的海洋对大气加热函数，得到简单海气相互作用方程组的解析解。
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