适用于往复机械状态检测的正交振动信号法

在利用振动加速度信号检测柴油机工作状态时,为在仅提取较少时域特征参数的前提下获得相对较高识别率,提出适用于往复机械状态检测的正交振动信号法。在气缸盖顶部和侧部互相垂直方向上分别安装振动加速度传感器,采集振动信号,提取时域特征参数。将只考虑单一方向振动信号、同时考虑2个方向振动信号,所对应特征参数分别作为广义回归神经网络(GRNN)的输入特征向量,对多种工况下发动机工作状态进行识别。实验表明:采用发动机缸盖顶部和侧部互相垂直方向上的这一对正交振动加速度信号是一种具有较大工程应用价值的往复机械工作状态检测方法。

一类中立型差分方程的频密振动性

利用数列的频率测度的概念及其性质,讨论如下一类中立型差分方程的解的频密振动性,得到解的正振动与负振动的振动准则:Δ(xn+cnxn-k)=s∑i=1fi(n,xn-li),n=0,1,2,…其中s,i和li均为正整数且s≥1,1≤i≤s,li>k≥1,{cn}n≥0是实数列,{fi}均是定义在Z×R上的函数。由于振动数列的古典概念已经不能准确刻画差分方程的解的振动性质,所以频率振动准则利用了所讨论方程的系数数列的水平集的"频率测度"的概念,这不同于以往的文献,准确刻画了解的振动性质。

一类差分方程的频率振动解

本文讨论了一类差分方程的解的频率振动性,建立了新的频率振动性定理,给出了如下中立型差分方程的解的频率振动的充分条件,从而简化和改进了文献[3]中的相应条件与结论:△(xn+cnxn-k)=f(n,xn-1),n=0,1,2,…其中k≥1与l≥1均为正整数,1Cn∩∞n=0是一实数列,f是定义在Z×R上的函数。

半球谐振陀螺质量缺陷误差振动研究

半球谐振陀螺仪是依靠半球薄壳振动来敏感载体角度变化的惯导级固体器件,球壳质量缺陷导致的误差振动是影响陀螺仪精度的重要原因。分析误差振动的来源,如何尽量减小球壳的误差振动及开展残余误差振动控制技术研究,是获得高精度半球谐振陀螺的前提条件。

一类二阶泛函微分方程的振动

当最终正函数 p_1(t)与 p_2(t)满足不等式0<α≤p_1(t)/p_2(t)≤β<1时,通过比较两个泛函微分方程(r(t)y′(t′))′+p_1(t)g_1(y(t))=f(t)和(r(t)y′(t))′+p_2(t)g_2(y(p(t)))=0,得到了后一方程每个有界解非振动的充分必要条件。

数字伺服技术在板坯连铸机振动系统中的应用

以数字伺服技术为核心元件,用四台伺服电机及其滚珠丝杠代替原机械四连杆多点传动的正玄振动装置,通过优化函数计算出工艺要求需要的基本波形,振动台结晶器在数字伺服缸作用下按设定的波形上下振动,完成非正玄仿弧振动全过程。自改造以来有效提高铸坯表面质量及铸机作业率,减少铸坯在凝固过程中与结晶器铜壁发生粘结而出现粘挂漏钢事故,具有控制精度高,响应速度快,结构简单,调整、安装、检修方便与节能等优点。具有在板坯、方坯推广应用的前景。

Global Attractivity of a Kind of Delay Difference Equations

Several new sufficient conditions are given for the global attractivity of solutions of a kind of delay difference equations. They either include or improve some known results and put the study of Ladas' conjecture forward.

Asymptotic Behavior and Nonexistence of Positive Solutions of Delay Difference Equations *L

Aim To obtain new criteria for asymptotic behavior and nonexistence of positive solutions of nonlinear neutral delay difference equations. Methods By means of Hlder inequality and a method of direct analysis, some interesting Lemmas were offered. Results and Conclusion New criteria for asymptotic behavior and nonexistence of positive solutions of nonlinear neutral delay difference equations are established, which extend and improve the results obtained in the literature. Some interesting examples illustrating the importance of our results are also included.

Oscillation of Unstable Second Order Neutral Differential Equations with Positive and Negative Coefficients

This paper discusses a class of unstable second order neutral differential equations with positive and negative coeffcients. Sufficient conditions for all bounded solutions of the equations to be oscillatory are obtained.

On the Existence of Positive Solutions of Neutral Differential Equations

Consider the first order neutral delay differential equation with positive and negative coefficients:[x(t)-c(t)x(t-γ)]+p(t)x(t-τ)-Q(t)x(t-δ)=0,t≥t 0,(1)where c,p,Q∈C((t 0,∞),R +),R +=(0,∞),γ】0,t】δ≥0. We obtain the sufficient condition for the existence of positive solutions of Eq.(1). As a corollary, we improve the correspondent result in by removing the condition∫ ∞ c 0 (t) d t=∞,where (t)=p(t)-Q(t-τ+δ)≥0.

Analytical Solutions to the Fundamental Frequency of Arbitrary Laminated Plates under Various Boundary Conditions

In recent years, as the composite laminated plates are widely used in engineering practice such as aerospace, marine and building engineering, the vibration problem of the composite laminated plates is becoming more and more important. Frequency, especially the fundamental frequency, has been considered as an important factor in vibration problem. In this paper, a calculation method of the fundamental frequency of arbitrary laminated plates under various boundary conditions is proposed. The vibration differential equation of the laminated plates is established at the beginning of this paper and the frequency formulae of specialty orthotropic laminated plates under various boundary conditions and antisymmetric angle-ply laminated plates with simply-supported edges are investigated. They are proved to be correct. Simple algorithm of the fundamental frequency for multilayer antisymmetric and arbitrary laminated plates under various boundary conditions is studied by a series of typical examples. From the perspective of coupling, when the number of laminated plates layers N〉8-10, some coupling influence on the fundamental frequency can be neglected. It is reasonable to use specialty orthotropic laminated plates with the same thickness but less layers to calculate the corresponding fundamental frequency of laminated plates. Several examples are conducted to prove correctness of this conclusion. At the end of this paper, the influence of the selected number of layers of specialty orthotropic laminates on the fundamental frequency is investigated. The accuracy and complexity are determined by the number of layers. It is necessary to use proper number of layers of special orthotropic laminates with the same thickness to simulate the fundamental frequency in different boundary conditions.

Oscillation in a Class of Neutral Differential Equations with Positive and Negative Coefficients

The oscillatory behavior of neutral differential equation with positive and negative coefficients is investigated by mathematics analysis technique and the fixed point principle. Some sufficient conditions for oscillation of neutral differential equation with positive and negative coefficients are obtained.

Seismic response of tunnel under normal fault slips by shaking table test technique

Mountain tunnel crossing a normal fault in seismically active zone is easily affected by normal fault slip and earthquake. It is necessary to study tunnel dynamic response under action of normal fault slip and earthquake. In this paper, a three-dimensional normal fault sliding device was designed, and a shaking table test was carried out to study tunnel seismic performance under normal fault slip. The results show that peak acceleration of lining is dominated by an existence of fault and direction of seismic excitation, not normal fault slip. And the incremental strains of lining in critical zone with 1.7 times fault thickness and centered in faults induced by normal fault slip and seismic excitation are larger than ones only by seismic excitation. And the incremental strains in critical zone increase with the increase of normal fault slip magnitude ranging from 0 to 2 mm. And normal fault slip results in a significant reduction of overall tunnel stiffness subjected to an earthquake. These experimental results provide a scientific reference for prevention and control measurement of tunnel damage under earthquake and normal fault slip.

Correlation Between Energy Transfer Rate and Atomization Energy of Some Trinitro Aromatic Explosive Molecules

An assumptive theoretical relationship is suggested to describe the property of molecular atomization energy and energy transfer rate in the initiation of explosions. To investigate the relationship between atomization energy and energy transfer rate, the number of doorway modes of explosives is estimated by the theory of Dlott and Fayer in which the rate is proportional to the number of normal mode vibrations. It was evaluated frequencies of normal mode vibrations of eight molecules by means of density functional theory （DFT） at the b3p86/6-31G（d,p） level. It is found that the number of doorway modes shows a linear correlation to the atomization energies of the molecules, which were also calculated by means of the same method. A mechanism of this correlation is discussed. It is also noted that in those explosives with similar molecular structure and molecular weight, the correlation between the atomization energy and the number of doorway modes is higher.

Analysis and implementation of FURLS algorithm for active vibration control system with positive feedback

While positive feedback exists in an active vibration control system, it may cause instability of the whole system. To solve this problem, a feedforward adaptive controller is proposed based on the Fihered-U recursive least square （FURLS） algorithm. Algorithm development process is presented in this paper. Real time active vibration control experimental tests were done. The experiment resuits show that the active control algorithm proposed in this paper has good control performance for both narrow band disturbances and broad band disturbances.

A novel dense spectrum correction algorithm for extracting vibration signals in internal combustion engine and its application

The algorithm of dense spectrum correction has been raised and proved based on the correction of discrete spectrum by fast Fourier transform.The result of simulation shows that such algorithm has advantages of high accuracy and small amount of calculation.The algorithm has been successfully applied to the analysis of vibration signals from internal combustion engine.To calculate discrete spectrum,fast Fourier transform has been used to calculate the discrete spectrum by the signals acquired by the sensors on the oil pan,and the signal has been extracted from the mixed signals.

Structural finite element model updating using incomplete ambient vibration modal data

This paper presents an effective approach for updating finite element dynamic model from incomplete modal data identified from ambient vibration measurements.The proposed method is based on the relationship between the perturbation of structural parameters such as stiffness and mass changes and the modal data measurements of the tested structure such as measured mode shape readings.Structural updating parameters including both stiffness and mass parameters are employed to represent the differences in structural parameters between the finite element model and the associated tested structure.These updating parameters are then evaluated by an iterative solution procedure,giving optimised solutions in the least squares sense without requiring an optimisation technique.In order to reduce the influence of modal measurement uncertainty,the truncated singular value decomposition regularization method incorporating the quasi-optimality criterion is employed to produce reliable solutions for the structural updating parameters.Finally,the numerical investigations of a space frame structure and the practical applications to the Canton Tower benchmark problem demonstrate that the proposed method can correctly update the given finite element model using the incomplete modal data identified from the recorded ambient vibration measurements.

OSCILLATIONS OF HIGHER ORDER ORDINARY DIFFERENTIAL EQUATION WITH IMPULSES

Sufficient conditions to guarantee the oscillations of higher order ODE with impulses are obtained. The importance of the impulsive effect on the oscillations of higher order differential equation is stressed.

OSCILLATION AND GLOBAL ATTRACTIVITY OF IMPULSIVE PERIODIC DELAY RESPIRATORY DYNAMICS MODEL

This paper studies the nonlinear delay impulsive respiratory dynamics model. The model describes the sudden changes of the concentration of CO2 in the blood of the mammal. It is proved that the model has a unique positive periodic solution. Somesufficient conditions for oscillation of all positive solutions about the positive periodic solution are established and also some sufficient conditions for the global attractivityof the periodic solution are obtained.