查询词典 undamped wave

Nonlinear flexural wave equation is solved by the Jacobi elliptic function expansion method. Two kinds of exact periodic solutions of the nonlinear equations are obtained, that is, the shock wave solution and the solitary wave solution. The necessary condition for existence of exact periodic solutions, shock solution and solitary solution is discussed, which is consistent with the qualitative analysis.

利用Jacobi椭圆函数展开法，对该非线性方程进行求解，得到了非线性波动方程的准确周期解及相对应的孤波解和冲击波解，讨论了这些解存在的必要条件，这与定性分析的结果完全相同。

Using algebraic methods which include extended Tanh-method,some new solitary solutions to the DBM and Log-DBM equation,such as singular solitary solutions,double singular peakon solitary wave solutions,double solitary wave solution with peakon and singular periodic solitary wave solutions are obtained..With the aid of an auxilitary function combined with the elliptic integral of the first kind,periodic solitary solution,singular and periodic singular solitary solutions can be obtained.

第三章利用扩展的Jacobi椭圆函数展开法研究了方程，并给出ZK-MEW方程的Jacobi椭圆函数解，特别的，当模数m→0和m→1时，其中一部分解退化为三角函数解和孤立波解；其次使用sn-cn拟设法，研究了K(k，s，1)方程，得到了k=s=3时的新的精确解，并在模数m→0和m→1时得到了丰富的三角函数和孤立波解。

This paper proposes an equivalent second order elastic wave equation to solve the problem of being unable to completely separate the coupled P and S wave by full elastic wave equation.

给出了一种等价的二阶弹性波动方程，以解决弹性波场中完全弹性波动方程不能完全分离耦合的纵、横波波场问题。

For a heterogeneous elastic solid consisting of two homogeneous layers, three homogeneous layers whose shear wave velocities increasing with depth, or three homogeneous layers whose interlayer has high velocity, if there are multi-mode dispersion curves, the phase velocity V〓 of the first mode will close up to the Rayleigh wave velocity of the bottom layer when frequency f→OHz, and V〓 of the first mode will close up to the Rayleigh wave velocity of the top layer when f→∞.

由多导波模式的相速度频散曲线还可知，对于二层固体介质、结构层的横波速度随深度而递增的三层固体介质、含硬夹层的三层固体介质而言，若频率f→OHz，其基阶模式的瑞利波相速度V〓→V〓（V〓为最底层介质的瑞利波速度）；若f→∞，其基阶模式的V〓→V〓（V〓为最上层介质的瑞利波速度）；因此，随着频率f逐渐升高，野外实测的瑞利波相速度V〓曲线应该主要为基阶导波模式。

Second order incident boundary condition on fixed incident boundary is derived for numerical simulations, based on the cnoidal or sinusoidal motions of wave maker paddle, which shows that the prediction with second order incident boundary condition is more accurate than the prediction with first order incident boundary condition. 2 The analytical solution for higher-order Boussinesq equations is derived and its applicable range is discussed. 3 A 2-D fully non-linear numerical model using boundary element method is developed to obtain wave forces acting on rectangular obstacle. 4 The three-dimensional fully non-linear waves are studied in a numerical wave tank using finite element method.The studies on the coupled numerical model combined Boussinesq equations with Laplace equation are following.

非耦合非线性波浪计算模型：1 根据造波板做椭圆余弦运动或正弦运动速度，推导出数值模拟波浪水槽时固定入射边界上的二阶波浪入射边界条件，数值计算结果和实验结果的对比表明采用二阶入射边界条件对波面升高的预报比采用一阶入射边界条件对波面升高的预报更为精确；2 推导了波浪水槽造波板做正弦运动所产生波浪的高阶Boussinesq方程摄动展开解析解，讨论了该解析解的适用范围；3 对整个波浪水槽应用边界元方法数值模拟了波浪对物体的非线性作用；4 用有限元法求解三维Laplace方程模拟了三维完全非线性波浪水槽。

A microsrip quasi-traveling wave fuze antenna is designed,working in millimeter-wave used for missile body fore-end which utilizing the loss characteristic of microstrip line,eliminates the reflected wave without the matched load in the design.

设计了一种用于弹体前端的毫米波微带准行波引信天线，此线阵利用微带线自身的损耗特性消除反射波从而省去了匹配负载。

Dynamic experiments of domestic sewage treated by electrocoagulation process with triangle-wave power, sine wave power and full-wave rectifier power, which had the different power waveform and waveform frequency, were studied. And the removal characteristics of organic pollutants were studied.

采用三角形波电源、正弦波电源、全波整流电源进行动态实验，研究采用不同电源波形和波形频率电源的电凝聚对处理生活污水的影响，以及对有机污染物的去除特性。

The full-wave equation methods are adopted, namely the wave field is the solution of wave equation.

本文采用的是全波方程法模拟，即由方程的解中给出了全波场的值。

One, the physical quantity that the fundamental point that the physical quantity that describes mechanical vibration and mechanical wave is proposition of the university entrance exam describes physical quantity of simple harmonic motion to the; such as amplitude, periodic, frequency, speed, acceleration, phasic, phasic difference describes mechanical wave has amplitude, wavelengh, velocity of wave, periodic, frequency to wait.

一、描述机械振动和机械波的物理量是高考命题的基础点描述简谐运动物理量有振幅、周期、频率、速度、加速度、相位、相位差等；描述机械波的物理量有振幅、波长、波速、周期、频率等。

For the plane wave of laser without pulse shape, we derive the express of electron trajectory by the relative Lorentz and energy equations. Note that the orbit of electron becomes a "fat-8" in the average rest frame. For the plane wave of Gaussian laser, we may know that, through relative Hamilton-Jacobi equation, electrons are accelerated in the front of pulse and decelerated backward. Whereas for the non-plane wave of Gaussian laser, we solve the Lorentz and energy equations by fourth order Runge-Kutta method.

对于无脉冲形状的激光平面波是从考虑了相对论效应的Lorentz方程和能量方程出发，得到了电子的运动轨迹方程表达式，在纵向平均速度参照系下该电子的轨迹呈现"8"字形；对于高斯型单色激光平面波是从相对论Hamilton-Jacobi方程出发，得到激光平面波在脉冲前沿加速电子而脉冲后沿减速电子，电子能量增益为零；而对于高斯型单色激光非平面波是从拉格朗日运动方程和能量方程出发，通过四阶Runge-Kutta法数值求解，得到电子在纵向有质动力、横向电场作用下加速电子，最后在强大的横向有质动力作用下从脉冲侧面散射出去，可以获得很大能量增益本文得到了相应的电子瞬时动量解析表达式。

He studied their excrement for evidence of livestock hair.

他为家畜毛的证据研究他们的粪便。

Loneliness is not grounds for deportation, deportation of the people are not all lonely people.

寂寞也不是放逐的理由，放逐的人也并不都是孤独的人。