查询词典 derived equation

It is concluded that the nonclassical symmetries of the nonlinear partial differential equations can be derived by using the compatibility between the original equation and the invariant surface condition.

由此，得到了利用不变条件及初始方程的相容性也可求得非线性偏微分方程的非古典对称的决定方程的重要结论。

A dynamic model was developed with kinematic differential equation derived for a dual-disc over-hung rotor system with rub-impact fault. The stability of the system and stability regions were studied by setting up nonsingular linear transform matrix and by use of Jacobi matrix in combination with the theory of Routh Hurwitz. Then, the effects on the stability regions of the system were discussed with relevant parameters.

建立了悬臂双盘碰摩转子系统的动力学模型和运动微分方程，通过创建该系统的非奇异线性变换矩阵并利用变换矩阵的Jacobi矩阵结合Routh Hurwitz理论，研究了悬臂双盘碰摩转子系统的稳定性和稳定区域，并进行了相应的参数讨论。

A new general kinetic equation was derived in which the effect of the removal of condensation water was taken into account completely, and was applied to the polyesterification kinetic study of AA/HPHP and AA/NPG. It was found that the reaction order of self-catalyzed polyesterification was not constant. For these polyesterifications, the reaction order was 2.5 at a low temperature, while 3.0 at a high temperature.

考虑缩合水的排除对反应体系的影响，用体积浓度单位推导出一个新的聚酯反应总包动力学方程，并应用到AA/HPHP和AA/NPG两个聚酯化反应的动力学研究中，研究发现，自催化聚酯反应的反应级数并不是固定值，对于AA/HPHP和AA/NPG两个聚酯化反应而言，低温时反应级数为2.5，高温时反应级数为3.0。

The Failure model of slopes can be classified into 2 kinds, toppling model and sliding model. The force distribution of each model is analyzed in oblique coordinate system, and the equation to calculate the forces are derived. Many external forces, such as earthquake force, water pressure, bursting force, bolting force and etc., can be easily considered in these equations.

分析了倾倒模式和滑动模式两种岩质边坡的破坏型式，对其受力情况进行了分析，并利用刚体平衡理论，给出了在斜角坐标系下推力计算方程，该方程可以方便地考虑任意方向的地震力作用，还可以考虑水压力、锚固力、建筑物外荷载和其它人工作用力。

Based on the theory of the electromechanical analogy and the special wave equation,the equivalent circuit of the exponential acoustic waveguide was derived,the formula of its impedance transformation was obtained.

基于机电类比原理，从特殊形式波动方程出发，推导出了指数形变截面声波导管的等效电路，从等效电路推导出了声波导管的阻抗转移公式。

The impact of capillary pressure on twophase flow in waterwettish reservoir is studied. The one dimensional control differential equation is derived,and solved by numerical limited difference method.

首先建立一维渗流模型和相应的渗流微分控制方程，用数值差分的方法进行求解，并绘制产量图和采出程度图，分析启动压力梯度和毛管力对水驱油效果的影响。

The control equation for computational fluid dynamics is also derived, where standard k-ε model is used for onflow.

其中湍流模型采用标准k-ε方程，计算网格采用三角形非结构网格。

The optimal step size equation is derived according to LMS algorithmic. In light of the fact that the position of the resource of working-noise changes frequently and the acoustic characteristic of coalseam varies with the proceeding of mining, the thesis models the change of response function by single delay estimation in DCT domain to raise the filtering capability.

论文在 叙述LMS算法原理基础之上推导了最佳收敛步长的求解公式，给出了DCT-LMS自适应算法；根据井下作业噪声源位置是经常变化的以及巷道声特性随开采进程而发生变化的特点，提出采用DCT域的延时估计提高井下作业噪声滤波性能。

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。

A integrated equation set for solving plane parallel motion of rigid body was derived, and the conditions of system of forces simplified on the center of mass plane was discussed.

给出了解决刚体平面平行运动问题的一组完整方程，讨论了力系简化在质心平面内的条件。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。