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Vibration reduction effect of parametric oscillation of stayed cable with linear viscous damper under simple harmonic support motion is investigated in the paper neglecting cable-bridge interaction.

本文以斜拉索为研究对象，忽略索桥之间的耦合作用，研究在支座沿弦向方向的周期运动下，线性粘滞阻尼器对斜拉桥拉索参数振动的减振效果。

Oscillator; simple harmonic motion; experimental measurement

弹簧振子；简谐振动；实验测量

In order to investigate the dynamic behavior of experinent simulation and behavior in situ, the numerical models under different slope and design parametes are established. The vibration forces are simulated from simple harmonic motion and from real earthquake records. The deformation of geosynthetic reinforced soil wall and interior failure surface generated the wall are also investigated.

为了解试验模拟与现地受振动之动态行为，建立不同坡度与设计参数之分析模型，其振动力分别为简谐振动与真实地震记录，并藉由数值模拟的方式，探讨不同振动力对加劲挡土设施之墙面变形与土体内部产生破坏面之动态反应。

In order to probe the absorb coefficients of earth medium by the direct wave, reflected wave and transmied wave amplititude which are picked up from the radar wave racords yielded by finite element method,the paper gives out the attenuated radar wave equations in time domain and the attenuated radar wave differential equations while the motion changes simple harmonic with time and electric parametets change slowly with space.

摘 要 为了用有限元方法生成雷波正演记录，从而拾取直达波、反射波、透射波振幅信息，以确定介质吸收系数，文章在时间域给出了雷达波含衰减项的波动方程，及在运动随时间简谐变化以及电性参数随空间缓变的条件含衰减项的雷达波遵循的简化微分方程。

According to the computational stability analysis conducted to the linear term time difference scheme in simple harmonic motion equation, one new semi-implicit integration scheme also is designed. By adopting a kind of revised time-explicitdifference scheme to these linear terms still included in spectral model governing equations, this defect of spectral model only partly used in semi-implicit integrating scheme, can be overcome to some degree.

以简谐振动方程中线性项时间差分格式对其计算稳定性影响为理论依据，本文设计了一种新谱模式半隐式时间积分方案，此方案通过对一般谱模式求解框架中那些隐含的线性项采用了一种显式修正的差分格式，可有效克服其国际谱模式半隐式时间求积方案实质上只是部分应用了半隐式差分格式的问题。

This paper discusses the calculation formula of outline for disc cam about roller follower of linear motion along the axis,it analyses the maximum angle of pressure and position for disc cam,from several ordinary motions of follower constant speed motion,constant acceleration and constant deceleration motion,simple harmonic motion and pendulum motion.

从从动件几种常用运动规律—等速运动、等加速等减速运动、简谐运动和摆线运动入手，讨论了对心直动滚子从动件盘形凸轮廓线长度的计算式，分析了盘形凸轮的最大压力角及其位置。

We employ a simple method to solve the integral equation for the energy eigenstates of the linear harmonic oscillator.

吾人采用一简单方法，以解量子力学简谐振荡器之能量固有态的积分方程式。

According to the theory of harmonic motion,the cycle of the simple pendulum is analyzed by infinitesimal and experiment respectively,the formulation and the function curve of the cycle T altered with the location of the liquid surface are obtained,the law of pendulum cycle changed with the pendulum ball's mass reduced is showed more accurately and obviously.

根据谐振动理论，分别用微积分推导和实验测定的方法，分析了一类常见的关于摆球质量减少的单摆周期问题，得到周期T随液面位置h变化的函数关系式，以及周期T随液面h变化的曲线，较精确和直观地展示了因摆球质量减少而导致周期变化的规律。

In the study of the stochastic chaos in simple pendulum, the random Melnikov process is derived and the mean-square criterion is used to determine the threshold amplitude of the bounded noise excitation for the onset of the chaos or random chaos in the system. For the coupled simple pendulum and harmonic oscillator, the Melnikov function is used to determine the condition for the onset of chaos in the case of Hamiltonian perturbations. In the case of non-Hamiltonian perturbation, the generalized random Melnikov process and mean-square criterion are used to determine the threshold amplitude of the bounded noise for the onset of random chaos.

在随机混沌研究中，应用随机Melnikov过程的均方准则研究了单摆在有界噪声激励下发生混沌或随机混沌时有界噪声激励的临界幅值；对于耦合的单摆-谐振子系统，先用Melnikov函数研究了在哈密顿扰动下发生混沌的必要条件；然后用推广的随机Melnikov过程方法研究了在非哈密顿扰动下发生随机混沌的必要条件；用最大Lyapunov指数及Poincaré截面方法结果与上述理论结果作了对比。

With the launching on the spectrum of wavelet, the harmonic wavelet is structured, which has strict box-like spectrum and simple function expression.

利用小波的频谱特性，构造了具有严格盒形谱特性及简单解析表达式的谐波小波，严格推导得到了基于FFT的二进谐波小波快速算法。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。