查询词典 derived equation

A 550kV SF6 circuit breaker has been taken as an example, the gas blast flow in no-load breaking process has been simulated, the results show that the basic solution of Euler equation set derived is correct, which lays the foundation for developing the Boundary Element Method of numerical solution for the time-dependent compressible flow of fluid.

作为数值模拟实例，文中对550kV SF6断路器空载开断过程中吹弧气体流动规律进行了数值模拟，其结果证明文中导出的基本解是正确的，从而为进一步开发求解非定常可压缩气体流动的边界元数值计算法奠定了基础。

At first,the limitation of the general heat conduction equation is discussed and then,nonlinear heat conduction equations are derived,when we consider that thermal conductivity,specific heat capacity and density are dependent of temperature.

研究了线性情形中热传导方程的局限性，在此基础上考虑到热传导方程中导热系数、比热容、密度与温度的关系，导出了非线性热传导方程，并求出了几类非线性热传导方程的孤波解。

The following are the major work in this thesis which has been studied and still needs to be studied further in the future: 1 An improved adjoint variational method is developed, thus it can be applied to the LAGFD-WAM Wave Numerical Model for data assimilation; 2 A linear evolution equation of spectral perturbation is derived in order to analyze its increasing or decreasing mechanism.

本论文主要完成了以下几个方面的研究： 1）建立了推广形式的共轭变分同化方法，使之能够应用于LAGFD-WAM海浪数值模式； 2）导出了扰动谱线性演化方程，分析了扰动谱增长、衰减机制，考察了涌浪情况下扰动谱的持续时效问题及风浪情况下扰动的演变过程； 3）利用波谱共轭方程初步分析了同化模型中距离泛函的敏感性及敏感区域空间分布； 4）将推广的共轭变分方法应用于海浪谱能量平衡方程，建立了连续形式的海浪同化模型，特别是严格导出了风输入、破碎、底摩擦、波波非线性相互作用和波流相互作用各源函数的共轭源函数表示式； 5）分别进行了波谱层次上和有效波高层次上的同化试验，并对数值结果进行了分析。

Based on instantaneous potential energy principle and spline interpolate function, the dynamic equation of flat spherical shell is derived.

基于瞬时变分原理与样条函数理论，建立扁球壳的动力方程。

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。

According to the strong Markov property of surplus process at the moments of claims,the integral equation for ruin probability is derived.

利用余额过程在索赔时刻具有强马氏性，得到最终破产概率的积分方程，最后推出最终破产概率的Lundberg上界。

According to the peculiarity and deformation of the systems, the main frame is of bending deformation and the subframe is of shear deformation. With concentrated masses model, the dynamic equation of this system is derived.

根据控振结构体系的特点和通过对该结构的变形分析：主框架采用弯曲模型，而次框架采用剪切模型的集中质量模型，据此推导了控振结构的运动方程。

Based on this regime and momentum equation of the flow, the formula for calculating the surface superelevation of rapid flow in sharp open-channel bends is derived.

在此基础上，利用动量原理，推导出了较小半径弯道水流超高公式，与试验资料对比，该理论的合理性得到了证实。

Furthermore, the boundary condition exchange equation of constant surface potential change to constant charge density is derived for these equations.

而在反离子价数提升的状况下，当有越大的反离子价数会得到越低的空间电位，而同样空间的电位分布随距离表面的距离增加有更快速度的衰减。

By means of the fractions of the equation of the non一ideal constrained motion of the particle along the plane curve on the tangential direction and normal direction,the motion speed expression of the particle under this condition is derived,the constrained counter force is further gained,thus some non一ideal constraint problems are solved from the given angle.

通过质点沿平面曲线的非理想约束运动方程在切线和法线方向上的分式，导出质点这一条件下的运动速度表示式，并进一步求出其约束反力，从一定角度解决一些非理想约束问

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。