共振条件

First, the backward Kolmogorov equation for the conditional reliability function and the Pontryagin equation for mean first-passage time and then- associated boundary and initial conditions are derived based on the stochastic averaging methods for quasi non-integrable, quasi integrable and quasi partially integ...

首先利用拟不可积、拟可积非共振及拟部分可积非共振Hamilton系统的随机平均法分别给出了研究该系统首次穿越问题的提法，包括计算条件可靠性函数的后向Kolmogorov方程及计算平均首次穿越时间的Pontryagin方程及其边值条件。

On this basis, local resonance is studied by FEM, the impact on some parameter to that is sought, and the mechanism and the production condition of local resonance of ultrasonic vibration system is discussed.

在此基础上，用有限元方法和阶梯形变幅杆模型对局部共振进行研究，探寻了各个参数对局部共振的影响，讨论了超声振动系统局部共振现象的机理，提出了局部共振的产生条件。

It is demonstrated that the system can exhibit unstable periodic 3 3 motion bifurcated from periodic 1 1 motion on the resonance condition, and the transition from subharmonic impacts to chaos is disscussed.

分析并证实了碰撞振动系统在此共振条件下可由稳定的周期 1 1振动分叉为不稳定的周期 3 3振动，讨论了亚谐振动向混沌运动的演化过程

By using Fourier analysis, we analytically obtain the resonance condition of Rabi oscillations and the Rabi frequency in the weak-coupling limit; and those results are verified by the numerical evolution results of electrons.

借助Fourier分析，我们得到了弱带间耦合情况下的Rabi振荡共振条件以及Rabi频率的近似解析解，这些结果均由数值演化给出验证。

Under a resonance condition,a unique existence of generalized solution to the Direchlet boundary value problem of the semi-linear elliptic partial differential equations is given,and this extended partially the results that was known.

利用极小极大原理，在共振条件下，证明了一个半线性椭圆偏微分方程Direchlet边值问题广义解的存在唯一性定理，从而推广了已知的一些结果。

Utilizing Sylvester's theorem and Fourier series expansion method, commonly used in the spectral decomposition for matrix, the frequency response functions of parametrically excited system were derived theoretically and the external resonance condition was obtained.

采用矩阵谱分解中常用的Sylvester理论和Fourier级数展开法，推导了单自由度参数振动系统的频响函数，并得到了系统外激励共振条件。

Using the 294cc rotary engine, it can influence the maximum rpm and power of the engine output under the terms of using all kinds of length intake. Then it can find out the best length of intake of the rotary engine. In addition, under the terms of space limit of intake, it can influence the maximum rpm and power of the engine output when the intake is forced to limit on a certain length. To install a resonance in the intake system, according to the equation of Helmholtz, it can design the all kinds of size of the resonance. Using to change the volume and geometirc form of the resonance, it can find out the maximum rpm and horsepower of engine output in order to reduce the influence of the variation of engine intake length. Under the verification of the experimental result, this simple device can increase the rpm and horsepower of the rotary engine obviously to achieve the output performance that the engine requires to supply. Such the revisal of intake need the lower cost but it can obtain very obvious efficiency. It is a very feasible way.

藉由一具294cc的飞行器引擎，在使用各种不同长度进气道的条件下，对引擎所能输出的最大转速及马力有一定的影响，藉此找出该具引擎的最佳进气道长度；此外，在进气道因空间限制的前提下，进气道被迫只能局限某个长度以下时，在这种条件下，引擎所能输出的最大转速与马力等相关性能会随之受到影响，在进气系统加装一个共振腔，配合Helmholtz的方程式，设计出各种共振腔各部位的尺寸，利用改变共振腔的体积与几何形状，可以寻求增加引擎转速与输出马力的最大值，藉此降低进气长度变化所带来的影响，在实验结果的验证下，此一简单的装置可以明显的增加引擎转速与马力，以达到对引擎所需的输出性能要求，这样的进气系统修改所需的费用极低，但却可获得很明显的功效，是十分可行的方式。

But the researches on vibration characteristics of motor-driven elastic linkage systems have shown that the dynamic responses of linkage systems are nonlinear and multi-modality. They may bring some nonlinear vibration, such as superharmonic resonances, subharmonic resonances, multiple resonances, and combination resonances, under some circumstances.

然而，弹性连杆机构的非线性振动特性研究表明，机构的动态响应特性十分复杂，并且在一定条件下会产生超谐共振、亚谐共振、多重共振、组合共振等非线性振动行为，这些共振就会对以机构动态性能为目标的优化设计产生重要影响，而使优化设计工作常常只能得到一个局部最优值，甚至只是一个比初始设计略微好些的设计点。

Resonance light scattering spectrum of cadmium- phenanthorline- bromophenol blue system has been studied. The effects of interference substances and optimization of procedure have been investigated. In the presence of Tris-HCl(pH=9.60),Cd2+ reacts with Phen to form the chelate cation, which further reacts with acid dye of BPB to form an ion-associated complex. Then, the complex molecules are accumulated to particles by virtue of hydrophobic forces and other molecular forces. This results in significant enhancement of RLS intensity, and the enhanced intensity of RLS at 638nm is proportional to the concentration of Cd~(2+).

研究了镉-邻菲罗啉-溴酚蓝体系在碱性条件下的共振光散射光谱特征，考察了体系的影响因素和最佳反应条件，研究表明，在pH=9.60的Tris-HCl介质中，镉与邻菲罗啉形成络阳离子，再与酸性染料溴酚蓝形成离子缔合配合物，在疏水力等分子间作用力下，缔合物分子聚集形成缔合微粒，溶液的共振散射光显著增强；在638nm处RLS增强程度与镉浓度成线性关系，线性范围为0-3.20mg/L，检出限为4.50ug/L。

The numerical simulation are consistent with the analytical results contained in chapter 2. In chapter 4, Mapping and chaos .We plot poincare cross-sections, the results illuminate that the two electrostatic waves which satisfy the resonant criterion found in this paper have more effective stochastic acceleration than nonresonant condition.

第四章：通过计算相空间的庞加莱截面和粒子的速度分布曲线，说明在对磁化等离子体加热方面，满足共振条件的两个静电波具有优越性。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。