非线性振动

Base on the lumped parameter model of the torsional vibration system of crankshafts with variable inertia and considering the nonlinear elasticity force and nonlinear dissipative force, a six-degree-of-freedom nonlinear dynamical equations with parametric excitation and compulsive force are deduced.

从旋转惯量变化的曲轴扭振系统的集总参数模型出发，同时考虑了系统的非线性弹性力和非线性耗散力，导出了参强联合作用下的六自由度非线性扭转振动微分方程。

In Chapter Ⅳ, the distribution of zeros of solutions of the first-order functional differential equation with variable delays is studied.

同时，利用推广的Gronwall不等式，讨论了一类二阶非线性扰动微分方程的振动性并得到若干新的振动准则。

Based on the fundamental theory of impulsive differential systems, employing Green formula, Gauss divergence theorem, Jensen inequality and Gronwall-Bellman inequality with impulse, we discuss the oscillation of impulsive partial differential systems by adopting reduction to absurdity and the stability in via of comparison theorem, respectively. Especially, we take an in-depth study on the oscillation of neutral impulsive parabolic systems and the stability of a class of nonlinear impulsive partial differential equations and obtain some useful conclusions.

本学位论文以脉冲微分系统基本理论为基础，利用反证法的分析方法和比较定理，结合Green公式、Gauss散度定理、Jensen不等式、含脉冲的Gronwall-Bellman不等式以及相关数学工具研究了脉冲偏微分系统的振动理论和稳定性理论，特别对中立型脉冲时滞抛物系统的振动性和一类非线性脉冲偏微分系统的稳定性作了较为深入的研究，给出了一些有用的结论。

In Chapter Ⅲ, by considering functions H k that may not have nonpositive partial derivative on s and employing integral averaging technique and Hardy inequality, the oscillation for a class of high order nonlinear differential equations and high order nonlinear damped differential equations is discussed, new oscillation criteria are established.

第二章利用广义Riccati技巧、积分平均技巧以及微分不等式理论，讨论了一类二阶非线性常微分方程的振动性，得到了若干新的振动准则，并讨论了该方程具有强迫项时解的渐近性态。

By use of the average value way and Green formula,oscillation theorems for such equation satisfying two kinds of boundary value conditions is obtained.

考虑一类非线性抛物泛函微分方程的强迫振动性，利用平均值法和格林公式，在两类边值条件下得到这类方程的振动性定理。

This model can be simplified and applied in the simulation of Pogo vibration,whose results can be compared with those...

仿真结果表明非线性模型不仅可以反映出系统每个时刻的稳定性，而且可以再现Pogo振动失稳时发散和收敛的过程，特别是失稳时蓄压器处压力脉动变化的非对称特点。这些都非常符合Pogo振动的观察结果。

Therefore,a series studies of ice-pier vibration are performed from different aspects in this paper.The main work of this his thesis is summarized as follows:(1) Ice response spectra is proposed based on the idea of a seismic response spectra analysis of str .. uctures.Firstly,ice response spectra on the basis of power spectra density function is established;Secondly,based on the assumption of quadratic parabolic interpolation method,the nonlinear interpolation analysis method of ice response spectra is studied from both theoretical and practical points of view,and the successive computation formulas including ice displacement,velocity and acceleration response spectrum are deduced by Duhamel integral.Furthermore,to analyze the effectivity and applicability of the method, the real temporal curves of ice pressure are used to be studied.The results show that the presented method is more convenient and accurate to study the structural response induced by ice force,also it can be effectively applied in the design of ice resistance.

鉴于此，本文针对冰激桥墩结构振动问题从不同方面展开了一系列与之相关的研究，主要研究内容如下：(1)根据结构抗震反应分析思想提出了冰振反应谱，首先建立了基于功率谱密度函数的冰振反应谱；其次借鉴地震反应谱内插法的思想从理论和实际观点出发，假定在等距离微小时间间隔内冰荷载按二次抛物线规律变化，由Duhamel积分推导出冰振位移、速度以及加速度反应谱的一系列连锁公式，建立了基于非线性内插法的冰振反应谱，并利用实际冰压力时程曲线进行了冰振反应谱数值分析，为以后冰激结构振动的研究提供一种方便、简捷、精确的分析方法，也能够将其有效地应用到结构的抗冰计算中。

Based on the results of the large-size shaking table test of a subway station structure built in liquable site,considering the influence of the soil-structure nonlinear dynamic interaction by 2D finite element methods,the seismic responses of the soil- subway station structure system under different test conditions are analyzed by using ABAQUS software.

根据可液化土层上土-地铁车站结构动力相互作用大型振动台模型试验结果，以软件ABAQUS为平台，将地基土-地铁车站结构体系视为平面应变问题，采用记忆型嵌套面黏塑性动力本构模型模拟土体的动力特性，采用混凝土动塑性损伤模型模拟车站结构混凝土的动力特性，建立了土-地铁车站结构非线性动力相互作用的有限元分析模型，对各种试验工况下地基土-地铁车站结构体系的地震反应进行了数值模拟，并与试验结果进行了对比，结果表明：数值模拟与振动台模型试验结果基本一致，体现出了相似的规律性，相互印证了计算分析的力学建模和振动台试验结果的正确性。

Results present that when the lateral-torsional coupling is considered, the responses in the lateral direction of the coupled system subjected to a initial disturbance and a harmonic excitation in the torsional direction, respectively, can be occurred in different forms, and show great effects. However the responses in torsional direction subjected to lateral disturbance and harmonic excitation are slightish.

对系统进行了非线性响应数值计算和相应的频谱分析，结果显示弯扭耦合后，在扭转方向的扰动和简谐干扰扭矩均会以不同的形式在弯曲方向表现出来，并对系统的弯曲振动产生较大的影响；而弯曲振动对扭转振动的影响则要小得多。

The vibrational spectra of CBO CLBO and LBO were compared, and the effect of cation on the vibrational spectra was discussed. In addition, the relationship between the LO-TO splittings and their nonlinear optical efficiency was analyzed simply.

比较了CBO，CLBO和LBO晶体的晶格振动光谱，讨论了阳离子对振动谱线的影响；分析了晶格振动模横纵频率的分裂程度与晶体非线性光学系数之间的关系。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。