查询词典 condition equation

Aimed to the differential equation in form of convolution and the functional presented by M. E. Gurtin, the matrix operator which includes the differential equation and the boundary condition is proved self-adjoint, furthermore a general variational principles in form of convolution and the preparation theorem are given and proved.

针对M.E.Gurtin提出的含卷积运算的抛物型偏微分方程及其对应的泛函，运用泛函势算子理论，从理论上证明了含卷积运算的抛物型偏微分方程及其边界条件所对应的矩阵算子有势，进而给出并证明了具有普适意义的含卷积运算的变分定理及预备定理。

Based on the dynamics fundamental equation, the rigid ships rolling coupled oscillation model was established, then the definite condition of the coupled oscillation equation under the regular transverse wave and first-order ordinary differential equations were presented. The ship vibration rule under the regular transverse wave was analyzed by examples, simultaneously the influence of damping coefficient on the vibration type was discussed.

基于动力学基本方程，首先建立了刚性船舶横摇的耦合振动方程，然后给出了在规则横浪激励下的耦合振动方程的定解条件和一阶常微分方程组，最后通过算例计算了在规则横浪作用下船舶的振动规律，同时研究了阻尼系数等参数对其振动规律的影响情况。

In this paper, the JFO condition, satisfied with global mass continuity, is incorporated into an universal Reynolds equation with micro-polar fluid which is solved for the oil film pressure using OSM and FEM. The bearing load capacity and friction resistance were given, and stiffness/damping coefficients and critical rotor mass were obtained by solving a pressure perturbation equation with micro-polar lubricants.

本文采用满足全流场质量连续的JFO边界条件，采用微极性流体的广义雷诺方程来求解油膜压力分布，进而获得油膜承载力和粘性阻力等轴承动力特性量；采用小参数摄动法得出油膜压强扰动方程，并采用有限元法解出扰动压强，积分扰动压强获得油膜的阻尼系数和刚度系数，进而求得了表示轴承油膜稳定性的临界转子质量。

A simplified method was proposed to deal with the boundary condition at the turbine unit for transient calculation. This method is based on the statistical analysis of turbine hill chart and the Eular equation for water turbines. According to the Eular equation, the basic geometry parameters of the turbine, such as guide vane opening a, blade outlet angle β2, the relative blade width of outletb2, the relative height of wicket gateb0 and the relative turbine exit radiusr2 are obtained through curvilinear regression of the water turbine hill charts.

为解决目前水轮机过渡过程计算中确定水轮机边界条件时通常使用的外特性法和内特性法的不足之处，结合这2种方法的优点，提出一种在水轮机过渡过程计算中处理水轮机边界条件的方法，即根据综合特性曲线的数据，利用统计分析方法和水轮机基本理论公式，计算水轮机基于内特性解析方程的基本参教，如出流角α、转轮出口安放角β、转轮出口相对宽度b2、导叶相对高度b0、转轮出口相对半径r2，在特性曲线上的规律。

Based on the analytical solution of heat conduction equation, an equation of temperature wave of the type of Fourier series was derived to predict the response of temperature at variable depths to ground surface condition.

通过热传导方程对土壤中的传热过程进行分析，得到傅立叶级数表示的温度波方程，用于预测不同深度土壤响应地表条件而产生的温度变化。

Through the limit difference method,the partial differential equation of the semiconductor device is transformed into a difference equation,and the corresponding boundary condition is discretized with high accuracy.

采用有限差分法把器件工作的偏微分方程转化为差分方程，并将相应的边界条件转化为精度较高的离散化形式。

It is known theoretically that to the variational problem with weak constraints in cost functional J, its Euler equation can be discreted into difference format, by using matrix theory and difference method of partial differential equation we know that there exists optimal selection of weight factors in the cost functional under the condition of minimal variance between analysis field and ideal field.

从理论上可知，对于目标泛函J带有约束条件的变分问题，将其Euler方程离散成差分形式，利用矩阵理论和偏微分方程的差分方法，则目标泛函的权重因子，在分析场和理想场的最小方差意义下存在最优选取。

It's proved that the long duration response is stable under stationary random excitation, when the mean equation of the temperature in all parts of heat conductor shows no difference with the heat conduction differential equation under classical stationary heat conduction condition.

研究表明，在平稳随机激励下，导热系统的长时间响应也是平稳的。

Because the equation is a various coefficients second-order parabolical partial differential equation,explicit difference formats usually have high condition for stability. Implicit difference formats have good stability,but they must calculate a set of algebraic equations,which are too complex.

由于泥沙扩散方程是一个二维变系数的抛物型方程，对于多维的方程，显格式往往稳定性要求很高，而隐格式虽然稳定性较好，但它要解大型的代数方程组，工作量也非常大，为了克服这两种格式的不足，常用ADI法求解，但仍存在一些计算量偏大等不足之处，因此构造出更好的差分格式是有必要的。

The boundary value problem for first-order differential equations with a parameter refers to the finite solution condition of equation which includes unknown quantity and its first-order derivative that not only relies on interval value but also relies on the parameter of the equation,which is always settled by fixed point theory or successive approximation method.

含一个参数的一阶微分方程边值问题是指：含有未知量及它的一阶导数的方程的定解条件不仅依赖于在区间端点的取值，而且依赖于方程中的参数。通常它用不动点定理或逐步逼近法来解决。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。