变分方程

The formulas of the natural frequency, critical velocity and critical pressure were established by means of direct method .

根据Hamilton原理推导出流固耦合自由振动变分方程，采用直接解法求解自由振动的固有频率、临界流速和临界压力的解析解表达式。

The equations of a high-speed rotating plate are obtained using Jourdain＇s velocity variation principle and the finite element method and MTA are used for discretization.

基于Jourdain速度变分原理，先推导出做高速旋转薄板的动力学连续变分方程，再用有限元法对柔性薄板进行离散。

In the low-low satellite to satellite gravity mission, the intersatellite range and range-rate data are the observable values, while the intersatellite acceleration can be derived from the range-rate through digital differential. Using acceleration data, people can avoid solving the variation equations of the satellite motion and simplify the observation equations. But on the other side, the digital differential will amplify the observation noises and finally affect the solved geopotential accuracy.

低低卫星跟踪卫星的观测量是两低轨卫星的星间距离或星间速度，星间加速度由星间速度通过数值微分导出，用星间加速度作为观测量可以避免解算卫星运动的变分方程，简化观测方程的建立，但数值微分会使观测噪声放大，从而影响重力位的解算精度。

Moreover we extend this method to the unbounded Stokes problem, the boundary of which is an open straight or an open arc segment.

另外，本文推导了开区域(特别是边界是直线段或开弧段情况下无限域)上的Stokes 方程的Dirichlet 外问题的边界积分表达式以及等价的变分方程。

Because the items be introduced,difference of composite with imperfect interface from one with perfect interface is that stationary value principles of the former is no longer equivalent of variation equation s corresponding the principles.

与完美界面不同的是，由于这个积分项的引入，非完美界面复合材料的驻值原理不再与相应的变分方程等价。

This paper sets up a class of generalized impulse control models in part, proves the existence of relevant variational equation solution.

本文在中建立了一类推广型的脉冲控制模型，证明了相应的变分方程解的存在性。

Then, we derive the incremental variational equation for nonlinear large deformation analysis by using energy principle of power form.

三、利用功率形式的能量原理，导出了非线性大变形有限元分析新的增量变分方程。

This paper studies some complex analysis problems associated with differiential equationa and obtains a series of conclusions,these conclusions will be the key point in the studying of variational equation s.

讨论了一些有关微分方程的复杂的分析问题并得到一系列结论，这些结论在变分方程的研究中起关键作用。

In the buckling question under nonconservation force,a simply example( the dynamic stability question under the uniformly follower forces with small deformation % linear elastic, straight normal.) is considered.The variational equation of braid composite cylindrical shells subjectd to uniformly follower forces is deduced based on the variation principle of quasinatural frequency of elastic nonconservative system self-excited vibration.The calculated formulas of the flutter load and quasinatural frequency of shells are obtained. The program for calculating the flutter load is developed.The numerical example is given and some useful conclusions are obtained.

对非保守力作用下的屈曲问题，具体研究了圆柱壳在比较简单的情况，即小变形、线弹性、直法线假设下在随动力作用下的壳屈曲问题，由拟固有频率变分原理推出了圆柱壳受随从力作用的变分方程，得到了颤振载荷与壳弯曲的固有频率的计算公式，编制了相应的计算机程序，并给出了具体算例，得到了一些有益的结论。

From the variation equation,the Gauss trajection equation in the deflected optical axis coordinate is given.By computer calculation,the factors affecting electron beam deflection is analysed.

由变分方程出发，给出了偏转时曲光轴坐标中的高斯轨迹方程，并对方案进行了计算机模拟，分析了各种因素对于偏转电子束的影响。

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。