振动型

The oscillation of neutral difference equation with continuous arguments is discussed.

讨论具有连续变量的中立型差分方程，建立了该方程振动的若干充分条件

Time scale; delay dynamic equation; neutral dynamic equation; oscillation; generalized characteristic equation; Riccati transformation

基础科学，数学，数学分析时标；时滞动力方程；中立型动力方程；振动；广义特征方程； Riccati变换

The finite element model of the free vibration for the rigid suspension catenary and pantograph is set up.

建立刚性悬挂接触网的自由振动有限元模型，计算其固有频率和振型。

Neutral type ; quasilinear ; parabolic differential equation ; systems ; oscillation

中立型；拟线性；抛物微分方程；方程组；振动

A class of systems of impulsive delay parabolic partial differential equations with nonlinear diffusion coefficient is considered.

考虑一类具非线性扩散系数的脉冲时滞抛物型偏微分方程组，利用Green公式、垂直相加法和脉冲时滞微分不等式，获得了该类方程组在Robin边值条件下所有解振动的充分判据。

On the basis of HPLC analytical results, a reaction mechanism between chlorine dioxide and phenol had been proposed. The rate control step in the process of reaction was studied by using ab initio method. Opmital geometry of every species in reaction was caculated by the available gratient optimum software. The result of harmonic vibrational frequencies indicated that phenolate radical was a stable intermediale product.

根据对ClO〓氧化苯酚后的高压液相色谱图，提出了ClO〓与苯酚氧化反应的机理，并对反应机理中的速度控制步骤进行量子化学理论剖析，利用梯度优化软件计算了参加反应物种的平衡几何构型，振动频率分析的结果表明：酚氧自由基是稳定的反应中间体，利用ab initio计算软件计算了参加反应物种的总能量，酚盐负离子中的氧原子电荷密度，布居数和前线轨道。

In this paper,we study the oscillation properties of solutions to the following problems of three classes of delay parabolic equations of neutral type.where Ω is a bounded domain in R~n with a piecewise smooth boundary ?

本文研究了三类中立型时滞抛物方程：解的振动性。其中G=Ω×(0，+∞)，Γ=Ω×0，+∞，ΩR~n是有界域，边界Ω逐片光滑，Δ是拉普拉斯算子，？

Based on wave analysis method, the characteristics of vibration wave propagation in typical hull structure were analyzed in consideration of wave type conversion and impedance variation in non-homogeneous structure, and the formula of sound transmission loss during incidence of plane bending wave was deduced.

以波动理论为基础，根据不均质结构中波型转换、阻抗特性，系统地分析了典型船舶结构中振动波的传递特性，推导并给出了平面弯曲波入射时的隔声量公式。

In this topic, the dynamic analysis methods for piezoelectric vibrator are studied systematically based on the theoretical model, FEM numerical experimentation and FEM governing equation for given compound-mode vibrator, and some valuable conclusions are obtained. The main work accomplished is summarized as follows: 1.Elaborate the main modeling methods for piezoelectric vibrator and the significance and necessity to study the dynamic characteristics of piezoelectric vibrator which emphasize the urgency of this paper. 2.Take the bending deformation induced by piezoelectric ceramic as example, the energy transfer mechanism of electric energy to mechanical energy are analyzed; the motion and force transfer mechanism are analyzed for the longitudinal-bending vibrator. 3.Based on mode assumption and Hamilton principle, the coupling model of piezoelectric vibrator of linear USM is built; moreover, the equivalent circuit model is obtained and a coupling equation represents the relation between electric parameters and mechanical parameters is derived which provides foundation to match the vibrator and driving circuit. 4.Combine the constitutive equation of piezoelectric ceramic with elastic-dynamical equation, geometric equation in force field and the Maxwell equation in electric field and the corresponding boundary condition equation, the FEM control equation for piezoelectric vibrator of USM to solve dynamic electro-mechanical coupling field is established by employing the principle of virtual displacement. The equation lays the foundation to study the non-linear constitutive equation of piezoelectric ceramic driven by high-power. 5.Define the dynamic indexes of characteristic of vibrator and carry out variable parameters simulation by calculating the model parameters and the electric characteristics of vibrator are simulated according to the equivalent circuit model. By numerical experimentation, the working mode of vibration of vibrator and the shock excitation results of the working frequency band which provides the mode frequency to realize bimodal are analyzed. Detailed calculation of the electro-mechanical coupling field parameters is made by programming the FEM control equation.

本课题从理论模型、有限元数值试验、有限元控制模型等方面以复合振动模式振子为例对超声电机压电振子的动力学特性及其分析方法进行了全面系统地研究，得出了许多有价值的结论，主要概括如下： 1、阐述了目前针对超声电机压电振子的主要建模方法，对压电振子动态特性的研究意义和必要性进行了论述，突出了本文研究内容的迫切性； 2、以压电陶瓷诱发弹性体发生弯曲变形为例，分析了压电陶瓷通过诱发应变来实现机电能量转换的机理；对基于纵弯模式的压电振子的运动及动力传递机理进行了分析； 3、基于模态假定，利用分析动力学的Hamilton原理，建立了面向直线超声电机压电振子的机电耦合动力学模型，并据此建立了压电振子的等效电路模型，导出了电参量与动力学特性参量的耦合方程，为压电振子与驱动电路的匹配提供了依据； 4、从压电陶瓷的本构方程出发，综合力场的弹性动力学方程、几何方程、电场的麦克斯韦方程以及相应的边界条件方程，采用虚位移原理，建立了压电振子动态问题机电耦合场求解的有限元控制方程，为研究其大功率驱动下的非线性本构模型奠定了基础； 5、界定压电振子的动力学特性指标，对压电振子的机电耦合动力学模型参数进行计算及变参数仿真；依据等效电路模型，对压电振子的电学特性进行了仿真分析；通过有限元数值实验，对压电振子工作模态附近的模态振型及工作频率附近的频段进行了激振效果分析，找出了实现模态简并的激振频率；利用有限元控制方程，通过编程计算，对压电振子的力电耦合场参数进行了详细计算，得出了一些有价值的结论。

Main products: high concentration of hydraulic pulper, shaker, such as pulp and screen centrifuge equipment, 1575,1760,1880,2400,3200,3600-long net, short-net, h network, network stack paper machine.

主要产品有：高浓水力碎浆机、振动筛、离心筛等制浆设备，1575、1760、1880、2400、3200、3600型长网、短长网、哈巴网、叠网造纸机。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。