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A nonlinear model is studied in this paper on the simulation of Pogo vibrations in liquid rockets.

本文针对液体火箭推进系统中的Pogo振动现象提出了一种非线性的仿真方法。

A corrected equations of motion of forced damped vibrations in Pohl resonator is discussed.

摘要对一般教材中波耳共振仪受迫振动的运动方程作了修正。

With our calculations and other studies, we can conclude that U(2) model becomes a potential effective model for molecules, especially for polyatomic molecules and highly excited states, where the anharmonic interactions between vibrations are dominant.

研究表明振动间的非谐和相互作用在分子的高激发振动中占有重要的地位。

In this thesis, we attempt to use them to de-scribe polyatomic molecular vibrations, and obtain quite good results. Finally,We develop the boson-realization model to include higher order coupling terms.In this case, the Hamitonian becomes very complicate. We then find a methodto greatly simplify the Hamitonian, and it is equivalent to the original one.

最后，我们又扩充了原来的玻色实现模型使之包括高阶相互作用，但这样一来哈密顿量变得非常复杂，为此我们又找到一种可大大简化振动哈密顿量的方法，并证明简化后的哈密顿量与原来的哈密顿量是完全等价的。

Miami gives off the same vibrations, the same portent of disaster, but with a difference.

迈阿密提供了一样的环境，一样的不祥之兆，但是有一个区别。

The particles constituting the medium perform only small vibrations, but the whole motion is that of a progressive wave.

我们所观察到的波的运动是一种物质的状态的运动，而不是物质本身的运动。

The remote control features two push-button activators that direct the powerful multi-speed vibrations through four levels of intensity.

远程控制功能两个按钮激活，直接的功能强大的多速度振动通过四个层次的强度。

The results show that the identical resonance in 2.09THz is originated from the collective vibrational modes triggered by the torsional vibrations of the pyran ringsin hexoses; and the other characteristic resonances of the hexoses is originated from the intermolecular collective modes mediated by hydrogen bonding network of the crystalline structure.

研究结果表明，己糖在2.09THz处的共性吸收峰来源于己糖分子中吡喃环扭曲振动引发的集体振动模式；而己糖的其它特征吸收峰主要来源于晶体结构中由氢键网络支配的分子间集体振动模式。

So to usefully track the device's vibrations, the ideal NEMS transducer must be capable of resolving extremely small displacements, in the picometer-to-femtometer( trillionth to quadrillionth of a meter) range, across very large bandwidths( extending into the microwave range).

为了要有效地追踪横杆的振动，理想的NEMS电能转换器必须能在很宽的频谱範围内测量到微微米至飞米（0-12~0-15公尺）位移。

First , we analyze the relation between thickness-shear and flexural vibrations mode in the AT-cut quartz crystal plate by Mindlin elastic plate theory , then obtain the result by the improved Mindlin plate theory , finally compare them and find the differences . The result of improved Mindlin plate theory excelled the Mindlin plate theory .

我们首先用Mindlin弹性板理论分析了AT切石英晶片中厚度-剪切和弯曲振动模态之间的色散关系，再用修正后的Mindlin板理论得到色散关系，并对两者进行比较说明，修正后的Mindlin板理论得到的结果明显要优于Mindlin板原理论。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。