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A matrix which has a set of complete eigenvector system can be similar orthogonally to a diagonal one through reduce it to Jordan's normal form, and based on this property, the reducing matrix was taken as the transformation one.

针对非经典阻尼振动线性系统,为消除非经典阻尼项给求解带来的困难,通过引入矩阵函数变换消除了原系统的阻尼条件项,将非经典阻尼振动微分方程转化为拟时不变经典阻尼方程。

In chapter 2 we obtain existence and joint continuity of the local time foradditive Lévy process under some conditions and discuss the upper bounds andlower bounds for the Holder laws of local times processes,the probability of somerare events ralated to small fluctuation of the sample functions and sojourn times insmall balls.Finally some liminf's results about the local and uniform oscillationsof additive stable process are acquired.

第二章给出了可加Lévy过程的局部时存在和联合连续的条件,讨论了其局部时过程的〓律上界和下界,以及可加Lévy stable过程跟样本函数局部振动相关事件的概率和停留在小球上的逗留时问题,同时对可加Lévy stable过程的样本轨道的局部和一致振动证明了一些liminf型结果。

This paper gives a method of combining experiment with theoretical calculus, which can be used to obtain the precious vibration mode functions of disk bladed of turbine machinery.

对透平机械常用的叶轮的固有振动问题给出了一种试验与计算相结合求取其精确振动模态函数的方法。

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。

On the assumption that the unevenness of runway profiles along the direction of taxi - ing is a stationary random function,techniques of piecewise constant-speed taxi ing runs and piecewise linear representation of dynamic properties of airplane landing gears are adopted in this paper to approximately simplify the actual nonlinear and nonstationary random vibration prob-lems to the piecewise linear and stationary ones.

在飞机滑行方向跑道路面不平度为平稳随机函数的假设下,采用滑行过程分段等速化、起落架动态特性分段线性化方法,把原非线性非平稳随机振动问题,简化为分段线性平稳随机振动问题。

For the damaged analysis of the pipe by using the mode, the strain of the pipe at different locations can be presented as the mode function of the displacement according to the character of the one dimensional continuity and the cross section, whose varied quotiety can be used to identify the damage.

用振动模态对压力管道进行损伤分析,可以根据压力管道的一维连续性质和横截面积性质,把应变表示为位移振动模态的函数,采用变化率的方法进行损伤识别。

Supposing that the pavement depression is a Ricker wavelet function ,and then the moving vehicle s vibration level induced by it can be obtained by simplifying the vehicle to a two DOF vibration system.

本文将高速公路路面凹陷变形假设为Ricker 小波函数,将车辆简化为两自由度的振动系统,分析了由于路面凹陷变形引起的车辆振动水平。

The fitting function of SEMG signal indexes and the vibration parameter change of the key parts of a human body are achieved by the regression analysis method, including the biceps brachii, erector spinae and biceps femoris. Carrying on grading to the subjective feeling, the objective method of comfort evaluation based on SEMG signals of human body under the different vibration environment is proposed.

采用回归分析法,得出了肱二头肌、竖棘肌、股二头肌的局部肌电与振动参数的拟合函数,结合主观感受评分结果,提出了振动环境下基于SEMG的判定人体舒适性的客观评价方法。

Optical transfer function, a tool for evaluating dynamic resolution of airborne optoelectronic systems , is proposed in this paper, by which the effect of linear movement and random vibration of a carrier on image shift is analyzed , providing theoretical basis for calculating the tolerable limit of image shift caused both by line movement and random vibration .

本文首先提出采用光学传递函数作为评价机载光电系统的动态分辨率工具,并利用它具体分析载体的线性运动和随机振动对像移的影响,从而为计算线性运动和随机振动产生像移的容限提供理论依据。

Concerned in this paper are the eigenvalues and the corresponding eigenfunctions for the crosswise vibration equation of a bean with continuous load, which can be related to a differential integral equation.

本文研究了附加连续荷载梁的横向振动方程的特征值及特征函数的性质。在一定的假设之下,附加连续荷载梁的横向振动方程对应一个微分积分方程。

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