查询词典 consistent equations

Based on the basic equations of electromagnetic waves transmit in waveguide, then focus on three different geometric border waveguide (rectangular, deltaic, cylindrical) for discussion ,the basic equations of electromagnetic waves in rectangular waveguide , deltaic waveguide and cylindrical waveguide are got.

本文在得出求波导中电磁波的基本方程后，针对三种不同几何边界的波导管进行讨论，导出了电磁波在矩形波导、三角形波导和圆形截面的空心波导中传播的基本方程。

Dynamic cutting force is a basic parameter and it directly influences relative displacement between tool and workpiece, tool wear and surface quality in turning operation. Therefore, simulation model of dynamic cutting force is an important part of machining physical simulation research. Cutting force models commonly used are empiristic equations. These equations are often based on statistical analysis of machining data, obtained via changing one or more machining parameters, whilst fixing others. But a complete turning process and nature of force can not be accurately described by means of these models.

动态切削力是切削加工过程中的基本参数，其动态变化直接影响加工过程中刀具与工件的相对位移、刀具磨损和表面加工质量等，因此动态切削力的预测仿真建模是切削过程物理仿真研究的基础，但是目前大多使用经验公式描述动态切削力，这些经验公式多少存在一些不足，难以完全真实地反映在整个切削过程中力的变化历程和变化特点。

The dynamic equations of helically buckled pipe string in vertical wells are a group of high order nonlinear ordinary differential equations, which describe the axial force distribution and deformation behavior of pipe.

描述垂直井中螺旋弯曲管柱轴力分布和变形行为的力学方程是一组高阶非线性常微分方程组。

In chapter two, using the hydrodynamical equations for electrons and Maxwell equation and through complicated calculation, we finally obtain a set of equations which describe the non-steady and nonlinear interactions between plasma and field in the wake region of a moving body in space.

第二章是从描述电子的磁流体方程和麦克斯韦方程出发，通过计算，最后得到了一组在考虑非静态极限下描述空间飞行器远尾区内等离子体与场之间的非稳态非线性相互作用耦合方程。

Multivalued functional differential equations and integrodifferential equations are an important branch in the theory of nonlinear analysis, which have wide applications in many fields such as engineering, economics, optimal control and optimization theory.

多值泛函微分方程和积分微分方程是非线性分析理论的一个重要分支，它在工程、经济、最优控制及最优化理论等领域有着广泛的应用。

With horizontal shear component of intercolumn forces ignored, four equilibrium equations were formed, i.e., force equilibriums along the vertical direction, the sliding direction, Y axis direction, and moment equilibrium around Y axis. The equilibrium equations contained the actions of underground water, earthquake and supporting forces.

在忽略条柱间作用力的水平剪切分量的基础上，建立铅直方向、滑动方向、垂直滑动方向的力平衡以及绕Y轴的力矩平衡共4个方程，平衡方程中纳入地下水、地震、支护力作用。

This paper proves that the canonical equations of Poincarè-Chtaev are more general Hamilton equations in terms of noncanonical variables.

研究表明：庞加莱－契达耶夫正则方程是非正则变量下相当普遍的哈密顿方程。

In this dissertation, considering the influence of transverse shearing deflection and noncoincidence of torsion center and gravity center, the equilibrium formulas of variable-curvature box-girder with rectangular cross section were established. Based on deformation expression of arbitrary point on the girder and relationship between inner forces and displacement equations, considering noncoincidence of torsional center and gravity center, the governing differential equations for variable-curvature box-girders were generalized.

针对具有竖直对称轴的矩形断面变曲率箱梁，考虑了挠曲剪切应变和曲梁剪心和形心分离的影响，推导了变曲率箱梁的平衡方程；通过箱梁内任一点的位移方程和内力-位移关系，推导了考虑曲梁剪心和形心分离的变曲率箱梁的挠曲扭转控制微分方程。

Based on the averaged equations of the nonlinear nonplanar flexible cantilever, thenormal form of the averaged equations is obtaineiby the Maple program given in the appendix.

在平均方程的基础上，利用前面得到的规范形计算程序对平均方程进行简化，得到了平均系统的规范形。

The equations of motion for the nonlinear nonplanar flexible cantilever are derived by using the generalized Hamiltons principle. Then, the Galerkin procedure and the method of multiple scales are used to give the perturbation analysis of the system and the average equations. The three resonant cases are considered in this dissertation.

对于非线性非平面运动悬臂梁，利用广义Hamilton原理详细推导了运动微分方程，综合运用Galerkin离散方法和多尺度法对非线性非平面运动悬臂梁的动力学方程进行摄动分析，得到了三种共振情况下的平均方程。

"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。