振动周期

Firstly, Some of the basic concepts of chaotic vibration are introduced, the qualitative and quantitative methods of chaotic vibration identification are detailed, the selection of associated parameters is studied, the algorithms for calculating the maximum Lyapunov exponent, correlation dimension and periodicity ratio are provided. On the basis of analysis and comparison of different methods, the methods used in the paper are selected.

本文首先介绍了混沌振动的基本概念；评述了混沌振动识别的定性和定量方法；对有关参数的选择进行了研究；给出了计算最大Lyapunov指数、相关维数和周期比的算法；在对不同方法对比分析的基础上，选出了本文拟采用的识别方法。

Through time-history analysis in different earthquake waves, the seismic response is calculated and dynamical interaction is analyzed.

通过不同场地特征周期的地震波作用下弹性阶段的时程分析，验证了振动台模型没有发生屈服或破坏，并得到了振动台模型的地震反应。

The continuing role of foreign forces in the cycle under forced vibration of the vibration, such as forced cyclical external force.

在周期外力的持续作用下所产生的振动为受迫振动，这种周期性的外力称为强迫力。

When the plate vibrates in an oscillating magnetic field, the vibration may be stable, periodic or unstable depending on the solution of the Mathieu equation.

当薄板在交变磁场中振动时，薄板的振动可能是稳定的、周期的或不稳定的，这可归结为求解Mathieu方程。

Localization is able to destroy the regularity of mode of vibration in periodic structure and aberration of vibration mode occurs.

若周期结构的整体结构尺寸不是很大，那么振动模态不会遍及整个结构，出现振动局部化现象。

The influences of the system parameters on its periodic motion and chaos are discussed, thus a basis is provided for enhancing performance design of the machine.

讨论了系统参数对振动平板夯周期运动和混沌的影响，为提高振动平板夯性能设计提供了依据。

Vibro impact ; map ; strong resonance ; bifurcation ; quasi periodic motion ; chaos

碰撞振动；映射；强共振；分叉；拟周期振动；混沌

We take sech form ansatz and solve the CNLS equations through variational approach. We obtain the analytical expression of nonlinear coupling term, which is in the lagrangian of CNLS. We apply a potential well model to analyze the interaction properties of self-trapping beams in detail, the results show that the interaction do not change the profile of the beams, two beams keep oscillating around their collective center periodically. The amplitude and period of this oscillation are both determined by initial separation of two beams.

我们采用Sech函数为试探函数，用变分法求解CNLS方程，（1）给出了CNLS方程所对应的拉格朗日中的非线性耦合项的解析表达，（2）利用势阱模型详细分析两自陷光束之间相互作用的特性，结果表明，相互作用没有改变孤子的形态，它们分别在与传播方向垂直的方向上绕它们的公共中心做往复振动，振动幅度及周期都取决于两光束的初始分隔。

The dissertation studies the phenomena and characteristics of self-excitation, deduces those phenomena belong to nonlinear non-conservative autonomous steady-state periodic movement.

本文分析研究了轧机主传动系统自激振动的现象和特点，得出轧机主传动系统的自激振动现象属于非线性非保守自治系统的稳态周期运动。

The critical bifurcation parameter intervals of superharmonic periodic impact motions are deduced, and numerical simulations are used to verify the results.

本论文讨论了碰撞振动系统的周期碰撞运动，得到了超谐周期碰撞运动的存在性和稳定性，推导出亚谐周期运动的临界分岔参数区间，并利用数值模拟进行验证。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。