查询词典 homogeneous equation

For homogeneous, piezoelectric and pyroelectric hollow cylinders, by introducing a special function and by using orthogonal expansion technique, the equation about a function with respect to time is derived.

在这篇论文中给出了分别由弹性、压电和热释电三种材料组成的均匀正交各向异性空心圆柱的轴对称平面应变弹性动力学解。

Based on the assumptions of semi logarithmic relationship between coefficient of permeability and void ratio as well as the relationship between effective stress and void ratio of soil, the method of Lie Group Transformation is applied to solve the non linear partial differential equation of large strain consolidation of homogeneous saturated clay in semi infinite domain.

基于有效应力与孔隙比以及渗透参数与孔隙比之间的关系的一些假定，采用李群变换求解考虑材料非线性和几何非线性的半无限均质土体大变形固结非线性偏微分方程，得到了一个不考虑自重固结的完全解析解。

S: In the non-homogeneous semi-infinite medium, the shear modulus varies in the form of exponential function along the depth, by the perturbation method , the wave function solution and phase velocity equation of the Rayleigh surface waves are obtained in the paper.

对剪切弹性模量沿深度以指数函数变化的非均质半空间，本文用摄动法得到了Rayleigh面波的波函数解答及相速度方程。

The boundary integral equation for a two-dimensional homogeneous anisotropic medium for TM polarized wave are deduced.

利用对偶关系可以得到TE波入射时金属边界积分方程的表达式。

The scattering wave velocity potential to the flexible circle pile was the solution of the Laplace equation, which satisfied the cylindrical surface non-homogeneous boundary condition.

采用动力Winkler弹性地基梁模型模拟桩土动力的相互作用，通过求解满足柱面非齐次边界条件的Laplace方程，直接构造波浪对柔性桩的散射速度势，考虑了流体和桩体的相互作用，由解析法给出了埋置圆桩在波浪荷载下的动力响应。

Based on the current continuity equation, using spherical harmonic function expansion, where lower boundary condition is the surface atmospheric electric potential, upper boundary condition is the electric potential of the bottom of the ionosphere, and non-homogeneous current source function of the vertical dipole assumptions is used for the charging of thunderstorms, the state analytical solution of global atmospheric electricity model in lower atmosphere is gotten.

本文从电流连续方程出发，采用球谐函数展开法，边界条件采用下边界为地表大气电势，上边界为电离层底部电势，非齐次电流源函数项采用垂直偶极子假设。

Firstly, we collected and sorted out the GPS data, established the uniform velocity field for the Chinese mainland and the surrounding regions, and the horizontal deformation field relative to the Eurasia plate; Secondly, we established a motion model for the entire rotation and homogeneous strain of the first and second level blocks in Chinese mainland, analyzed the motion pattern and strain behavior of active blocks in Chinese mainland, as well as the motion pattern of principal fault zones in Chinese mainland; Thirdly, considering the heterogeneity of strain distribution inside a block and supposing that the strain tensor inside the block is the linear function of location, we derived and established an equation for the entire rotation and linear strain of block and a motion model for the entire rotation and linear strain of principal blocks in Chinese mainland; We also calculated the principal strain field and the maximum shear strain field in Chinese mainland and the surrounding regions, analyzed the basic characteristics of strain field in Chinese mainland, as well as the relationship between the spatial distribution of strain field and large tectonic zones; Finally, we established the 2-D geotectonic model and digital model for Chinese mainland and the surrounding regions, calculated the stress field in Chinese mainland and the surrounding regions, and analyzed the basic features of stress field in Chinese mainland and the principal driving force for the motion and deformation in Chinese mainland.

收集整理了已有GPS资料，建立了中国大陆及周边地区统一的速度场以及相对欧亚板块的水平形变场；建立了中国大陆一、二级地块整体旋转与均匀应变的运动模型；分析了中国大陆活动地块的运动状态，应变状态，以及中国大陆主要断裂带的运动状态；考虑到一个块体内部应变张量空间分布的非均匀性，假设块体内部的应变张量是位置的线性函数，推导建立了块体整体旋转与线性应变方程，建立了中国大陆主要地块整体旋转与线性应变的运动模型；计算了中国大陆及周边地区的主应变场与最大剪应变场，分析了中国大陆应变场的基本特征，以及应变场的空间分布与大型构造带的关系；建立了中国大陆及周边地区二维的地质构造模型和数值模型，计算了中国大陆及周边地区的应力场，分析了中国大陆应力场的基本特征以及中国大陆运动、形变的主要驱动力。

Volume integral equation method has been used to calculate forward and inverse problems of 3D electromagnetic fields in homogeneous half-space.

0引言在电磁法勘探中，利用体积分方程计算三维地电磁场，由于数据点只分布在电阻率异常区域[1~3]而不是整个三维空间，因而与有限元法和有限差分法相比其计算量相对较小，是进行地电参数正反演计算的有效方法。

It is assumed that the fabric is a matter of continuum, homogeneous, orthogonally anisotropic elastic, and hence the fabric constitutive equation is formulated.

假定织物是线弹性的，且是均匀正交异性材料，建立了织物的正交异性本构关系，并讨论了其中的弹性模量的选取问题。

This paper studies the global topological structure of a kind of plane homogeneous fifth system with three special direction Suppose the system has are only one finite singular point (0,0), then we can assume b50=0, which special directions are determined by equation G=0, introduce Poincare transformation to discuss infinite singular points, according to the coefficient conditions, list all possible infinite singular points and special directions, judging their type, drawing out all kinds of phase portraits when it has three special direction.

研究了一类平面齐五次系统当其只有唯一的有限远奇点且具有三对特殊方向时的全局拓扑结构及系数条件。假设系统只有唯一的有限远奇点(0，0)，不妨设b50=0其特殊方向由示性方程G=0给出，引进poincare变换研究无穷远奇点，再根据定理中的系数条碎，列出系统所有可能的无穷远奇点和特殊方向，并判断其类型，由此画出系统具有三对特殊方向时的全局相图。

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