简化方程

In this way the algebraic equation and the differential equation of the elasticity are simplified to the linear equation.

这样可使弹性力学中的代数方程和微分方程简化为线性方程。

The study indicated that current and displacement stiffness are constant in the range of allowable engineering error. There is a linear range to the magnetic force. The simplified linear model meets the requirement of controller design. The more precise control precision is, the smaller linear range is.

研究表明，在工程误差允许范围内，位移刚度和电流刚度可视为定值，即此时电磁力方程在应用上存在较大的线性区间，因此简化的线性化模型完全可满足控制器设计的需要，且线性区间随着控制精度提高而减小。

According to the electrical power system characteristic, the modified equation which antipode coordinates form Newton - Rough abdicated improves and the simplification development has formed the P-Q resolution.

根据电力系统的特点，对极坐标形式的牛顿-拉夫逊的修正方程加以改进和简化发展形成了 P-Q 分解法。

The equation for the membrane thickness controlling in hot dipping process is deduced using abridged kinetic model process.

利用简化的动态模型过程，推导热浸镀条件下的膜层厚度控制方程，并通过实验手段对此方程作了验证。

From the three-level rate equation,the analytical expressions of the output power and the combining efficiency of the spectral combining system were derived based on the simplified model and propagation equation of the light in fiber lasers.

在简化模型的基础上，从三能级粒子速率方程出发，结合光纤激光器的光束传输方程，推导出光纤激光器谱合成系统的输出功率和合成效率的解析表达式。

The research result cannot satisfy the need of engineering design.In this paper, according to practical liquid differential equation ,allowing for moving rule and characteristic of moving field of vertical vortex , simplifying N-S equation, I have studied the discipline of condition, velocity and pressure of vertical vortex and analyzed some theory solutions such as plain vortex solution and solution in axial direction.

本文从实际流体运动微分方程出发，结合立轴旋涡运动规律和流场特征，采用对称恒定性假设，简化N—S方程，研究了立轴旋涡的水流流态、速度与压力的分布规律，分析了若干理论解，如平面螺旋流解、轴向流解等。

Based on the instantaneous motion of the moving platforms, the uncertainty configuration conditions and simplified uncertainty configuration equations are obtained for the widely studied parallel manipulators, such as planar 3-DOF parallel manipulator, spherical 3-DOF parallel manipulator, 6-SPS triangular platform parallel manipulator, three-branch 6-DOF parallel manipulator, twotriangular-platform parallel manipulator, DELTA parallel manipulator, 5-DOF parallel manipulator, two-tetragonal-platform parallel manipulator, pentagonal platform parallel manipulator and Stewart platform parallel manipulator.

采用这一方法，根据国内外常用的并联机器人机构的形式，建立了平面3自由度并联机器人、球面3自由度并联机器人、三角平台并联机器人、三支链6自由度并联机器人、双三角平台并联机器人、DELTA并联机器人、5自由度并联机器人、双四角平台并联机器人、五角平台并联机器人和Stewart平台并联机器人的奇异位形条件方程，除了Stewart平台并联机器人外，这些条件方程均为低于6阶的行列式，机器人结构类型不同，其简化程度各不相同。

The theory is based on the complex hydromagnetic equations of nebula ,which are simplified approximately to the equations of velocity.

把星云的复杂的磁流体动力学方程，近似简化为只与速度相关的方程，则得到一个可解的简单模型。

Due to the application of typical mass unit and general formula mentioned above, it overcame the disadvantages of"circular function method", which derided the thermal system into a main cycle and several subcircles, and simplified the calculation.

同时，由于典型质量单元的构建与通用矩阵方程的导出，改变了&循环函数法&把热力系统分成主循环和诸子循环分别计算、综合评价的弱点，减少了通用方程个数，简化了分析过程。

Based on thefundamental equations of motion of the theory of radial nonhomogeneousspherically isotropic elasticity,and,by introducing three displacementfunctions ψ,G and w,we get a simplifted system of the problem thatincludes an independent second order partial differential equation offunction ψ and a coupled partial differential equation set of functions Gand w.

针对沿径向为非均匀的且考虑温度和体积力影响的球面各向同性弹性体的振动问题，本文从三维基本运动方程出发，引入三个位移函数ψ，G和w，将问题简化为求解一个关于ψ的独立的二阶偏微分方程和一个关于G和w耦合的偏微分方程组。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。