查询词典 consistent equations

In this paper,the generalized equations of variable mass for high-order nonholonomic mechanical system in noninertial frame are de- rived by the universal D Alembert s principle and an example is given to illustrate the application of these equations.

本文由万有D'Alembert 原理导出变质量高阶非完整系统相对于非惯性系的广义方程，并举例说明其应用。

In this paper the rocket of 122mm, 20km is exampled, CADET is used in random ballistics system with the action of random wind by use of sharping filter when the differential equations of sharping filter and angle motion equations of ballistics are allied.

以某火箭弹为例，在随机风场作用下，利用纵风作用下的随机弹道系统成形滤波器，把成形滤波器的微分方程和外弹道角运动方程联立，对此系统采用协方差分析描述函数法，对火箭弹的散布进行了计算。

An alternative method to derive a set of fully nonlinear Boussinesq equations up to the order of $O(\mu^{2}$,$\varepsilon^3 \mu^{2})$ is presented. The linear dispersion relation and the shoaling gradient of the equations are improved by adding some dispersive terms.

从欧拉方程出发，提供了另一种推导完全非线性Boussinesq方程的方法，并对方程的线性色散关系和线性变浅率进行了改进。

Therefore, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.

因此，该问题的解答可归结为对一组无穷代数方程组的求解问题，并可利用截断有限项的方法对其进行计算。

And finally, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.

该问题的解答，可以应用移动坐标的方法逐个满足各个圆孔上的边界条件，因此，最终又可归结为对一组无穷代数方程组的求解，可利用截断有限项的方法对其进行计算。

Firstly,based on the WR Sexton method,the method and mathematic models of supplementing the sub-idle rotating component characteristics is presented.Secondly,the turbofan windmilling high-low pressure rotor co-working equations and the whole engine co-working equations are established.lastly,a turbofan engine windmilling characteristics under various windmilling conditions are simulated and analyzed.

首先，基于不可压流理论，附以可压缩效应修正的指数法发展了补充慢车转速以下部件特性的计算模型和计算程序；其次，根据流量连续、压力平衡、功率平衡、燃烧室进出口总温相等及转速相等等约束条件建立了风车状态时涡扇发动机高低压转子及整机的共同工作方程；最后发展了具有一定计算精度的涡扇发动机风车状态特性计算模型和程序，并以某型涡扇发动机为例，计算分析了不同飞行条件下发动机的风车特性，从计算结果看，其趋势是合理的。

The model consists of 25partial differential equations with 25 unknowns and is reduced to 5 governing equations with 5 unknowns using increament-linearized method, i. e, the three displacement components of soil, the pore water pressure and the pore air pressure.

在增量线性化的情况下，此模型简化为五个控制方程求解五个未知量：三个固相位移、孔隙水压力和孔隙气压力。

Stirring characteristic of metal bath in the DC arc furnace with different bath parameters was studied by combining Maxwell's equations with Navier-Stokes equations.

通过将直流条件下的Maxwell方程和Navier－Stokes方程相结合，研究了熔池参数变化对炉内熔体搅拌产生的影响。

The relations of parametric equations with the route coordinates and the part coordinates are found out according to the curve model,the parametric equations of middle and side stakes in circular curve and easement curve are derived,thence the value of parameters is obtained,the solution procedure is got.

根据曲线模型，找出线路控制坐标系与局部坐标系坐标之间的参数方程关系，推出了缓和曲线及圆曲线中边桩坐标的参数方程，代入已知量求得参数的值，给出了求解步骤。

Four simultaneous basic equations, i.e., equation of interest rate and amount of circulating fund, equations of purchasing and selling of share, equation of changing rate of share price, and equation of interest rate,share price and its changing rate, have been established.

建立四个基本的联立方程，即利率_流通量方程股票买入、卖出方程股价变化率方程以及利率、股价及股价变化率方程。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。