Bifurcations of Periodic Orbits for a Four-Dimensional System

Consider a four-dimensional system having a two-dimensional invariant surface. By analyzing the solutions of bifurcation equations, this paper studied the bifurcation phenomena of a k multiple closed orbit in the invariant surface. Sufficient conditions for the existence of periodic orbits generated by the k multiple closed orbit were given.     

Numerical analysis of nonlinear rotor-bearing-seal system

The system state trajectory, Poincard maps, largest Lyapunov exponents, frequency spectra and bifurcation diagrams were used to investigate the non-linear dynamic behaviors of a rotor-bearing-seal coupled system and to analyze the influence of the seal and bearing on the nonlinear characteristics of the rotor sys- tem. Various nonlinear phenomena in the rotor-bearing-seal system, such as periodic motion, double-periodic motion, multi-periodic motion and quasi-periodic motion were investigated. The results may contribute to a further understanding of the non-linear dynamics of the rotor-bearing-seal coupled system.     

Periodic Orbits and Invariant Tori from a Semistable Limit Cycle in the Fast Dynamics

IntroductionIn the paper,the bifurcations of periodic or-bits and invariant tori of the following system wasstudied:x。=f(x,y) εh(t,x,y,ε)∈R2y。=εg(t,x,y,ε)∈R,0≤ε1(1)where h(t,x,y,ε)and g(t,x,y,ε)are T-periodicin t.For simplicity,the functions f,g and h areassumed to be sufficiently smooth in their argu-ments throughout this paper.In Ref.[1],Wiggins and Holmes called thesystems of form Eq.(1)as slowly varying oscilla-tors and pointed out that the systems taking theform occur as mo…     

Fault Early Diagnosis of Rolling Element Bearings Combining Wavelet Filtering and Degree of Cyclostationarity Analysis

The vibration signals of rolling element bearing are produced by a combination of periodic and random processes due to the machine＇s rotation cycle and interaction with the real world. The combination of such components can give rise to signals, which have periodically time-varying ensemble statistical and are best considered as cyclostationary. When the early fault occurs, the background noise is very heavy, it is difficult to disclose the la- tent periodic components successfully using cyclostationary analysis alone. In this paper the degree of cyclostationarity is combined with wavelet filtering for detection of rolling element bearing early faults. Using the proposed entropy minimization rule. The parameters of the wavelet filter are optimized. This method is shown to be effective in detecting rolling element bearing early fault when cyclostationary analysis by itself fails.     

Intelligent Iterated Local Search Methods for Solving Vehicle Routing Problem with Different Fleets

Introduction Vehicle routing problem (VRP) with differentfleets is an important investment decision in reality. Itconsists of two decision-making processes: selectingvehicles of available types and routing the selectedfleet. A desirable fleet has more than one type of ve-hicles. Typically, the fixed cost of vehicles accountsfor approximately 80% of the total cost associatedwith vehicles[1]. The fixed cost is a major factor todetermine vehicle combination in a fleet.A few models were develope…     

Existence of Almost Resolvable Directed 7-Cycle Systems

Let ARDkCS（v） denote an almost resolvable directed k-cycle system of order v. It is clear that a necessary condition for the existence of an ARDkCS（v） is v=1（mod k）. For k：3,4,5 and 6, the existence of an ARDkCS （v） had been completely solved. This paper shows that there exists an ARD7CS（v） if and only if v≡1 （rood 7） and v≥8.     

Strategy-Based Forecasting Model for Civil Airlines

Airlines usually pay more attention tO maintenance cost for efficiency improvement and consumption reduction．However，airlines，especially the domestic airlines，Can hardly predict the cost exactly due to the uncertainty and complexity until now．In practice，the cost is calculated by collecting and calculating the invoices afterwards．To settle the problem，a maintenance cost forecasting model is proposed in this paper．Maintenance activities are classified into scheduled maintenance and unscheduled maintenance．Scheduled maintenance is periodic，in which the required materials and man-power hours can be obtained properly in advance．Nevertheless，it is impossible to acquire the necessary in formation of unscheduled maintenance．According to the specific characteristics of each，Activity-Based Costing(ABC)and Cost Estimating Relationships(CERs)are introduced to attack the building of forecasting models，respectively．Then practical cases，the 3C check of MD-90 and the engine shop visit are adopted tO verify the cost forecasting models proposed．The results show that the models not only can predict the actual maintenance cost successfully，but also are helpful tO drawing up the maintenance program and managing the maintenance funds efficiently．     

Detecting the Resistivity Distribution of Carbon Fiber Reinforced Concrete by Electrical Resistance Tomography Method

According to the principle of electrical resistance tomography （ ERT）, the resistivity distribution of the carbon fiber reinforced concrete （CFRC） in the sensing field can be measured by injecting exciting current and measuring the voltage on the sensor electrode arrays installed on the surface of the object. Therefore, measurement of the resistivity distribution of CFRC is divided into first measuring the boundary conditions and then inversely computing the resistivity distribution. To reach this goal, an ERT system was constructed, which is composed of a sensor array unit, a data acquisition unit and an image reconstruction unit. Simulations of static ERT was performed on set-ups with many objects spread in a homogeneous background, and a simulation of dynamic ERT was also done on a rectangular board, the resistivity of which was changed within a small domain of it. Then, the resistivity distribution of a CFRC sample with a circlar hole as the target was detected by the ERT system. Simulation and experimental results show that the reconstructed ERT image reflects the resistivity distribution or the resistivity change of CFRC structure well. Especially, a small change in resistivity can be identified from the reconstructed images in the simulation of dynamic ERT images.     

Propagating Characteristics of Confocal Elliptical Waveguide Filled with Multilayered Dielectrics

Using the method of separation of variables in the elliptical coordinate system, a recursive formula for the electromagnetic fields in a confocal elliptical waveguide filled with multi-layered homogeneous isotropic media is derived; then the eigenequation for it is given. When an elliptical waveguide becomes a circular waveguide, the electromagnetic fields and the eigenequation of the circular waveguide can be obtained from the eigenequation of the elliptical waveguide using the asymptotic formulae of Mathieu and modified Mathieu functions for a large radial coordinate in the elliptical coordinate system, and the eigenequation of a circular waveguide filled with multilayered dielectrics can be treated as a special case of an elliptical waveguide.In addition, some numerical examples are presented to analyze the propagating characteristics influenced by the perrnittivity, permeability of dielectrics filled in the elliptical waveguide, etc. The results show that changing the permittivity or permeability of the dielectrics filled in the waveguide and the major semiaxis value of the i-th layer can change the propagating characteristics of an elliptical waveguide.     

Economy Analysis of a Recycle Model of End-of-Life Vehicle

In order to evaluate recycle economy of end-of-life vehicles quantitatively,an economy model based on a recycle model of end-of-life vehicles and recycle cost analysis. With a practical example of recycling engines of end-of-life vehicles ,the validity of the recycle economy model and good recycle economy of the end-of-life vehicle engine were justified. It is concluded that ① remanufacture-ability of the part or component of the vehicles; ② the organization and management level of a recycle corporation; ③ policies and regulations of the government are crucial factors to raise the recycle economy of the end-of-life vehicle.     

一类周期系数力学系统分岔控制

为了控制周期系数微分系统平衡点失稳后的分岔行为,基于Floquet-Lyapunov理论,将控制常系数系统分岔行为的方法（线性法、参数法、平移法）应用于一类具有周期系数的力学微分系统,设计了相应的控制器,研究了其控制平衡点分岔行为的有效性.研究结果表明:平移法不能有效控制周期系数微分系统的平衡点失稳后发生的Flip分岔和Hopf分岔行为.若平衡点失稳发生Flip分岔形成周期2点,可分别采用线性法和参数法将周期2点控制到周期1点;若平衡点失稳发生Hopf分岔形成Hopf圈,可分别采用线性法和参数法将Hopf圈控制到周期1点.      

带阻尼失谐周期多跨连续梁的振动局部化问题

利用传递矩阵法分析研究了带阻尼失谐周期多跨梁中的振动局部化现象,将阻尼和失谐对于近周期结构的动力性能的影响进行了比较,并分析了两者同时存在时引起的综合效应与它们各自的影响之间的关系．结果表明：在无阻尼周期结构中处于“通频”范围内的振动能够传遍整个结构而不会发生衰减,但当结构中存在阻尼或失谐时,同样的振动在传播过程中将会发生指数衰减．     

利用Fourier级数模型预测具有非季节性周期的时间序列

文中建立时间序列模型与Fourier级数模型的混合预测模型,使模型能够有效地对具有非季节性周期的数据进行预测。结果表明:模型能较好地反映数据的周期性,也有较准确的短期外延预测效果,但模型对奇异值的拟合和预测能力还须提高。     

普通桥梁定期检查与评价

文中主要介绍了普通桥梁定期检查的方法和实践经验，并对现行《公路桥涵养护规范》中桥梁技术状况的评定提出补充意见。     

具有Holling Ⅱ类功能反应模型周期解的研究

通过对具有HollingⅡ类功能反应的3种群混合模型的研究,证明对于周期系统,在适当条件下有惟一的全局渐进稳定的正周期解.     

具有周期投放、捕获及非线性扩散的最优化模型

考虑有资源保护区且保护区内外存在非线性扩散作用的资源种群开发模型,获得了周期扩散模型正周期解的存在性与全局渐近稳定性条件．以周期投放、周期捕获为控制策略,持续产量最大化、持续经济租金最大化为管理目标,利用Pontryagin最大值原理得出此周期投放、捕获最优化问题的最优投放hopt（t）、捕获策略Eopt（t）及相应资源种群的最优规模为xopt1（t）,xopt2（t）,并举例说明．     

一类摩擦碰撞振动系统的周期振动特性研究

建立了一类两自由度摩擦碰撞振动系统的力学模型,确定Poincare截面,通过数值仿真,分析了系统在简谐激振力作用下的周期碰撞振动特性,并讨论了传动带运动速度、传动带与质量块间的摩擦系数对系统周期碰撞振动特性的影响.研究结果表明系统的周期碰撞运动的形式呈现多样化,且在一定的系统参数下,传动带运行速度和摩擦系数的变化对系统的冲击速度影响不大,但对系统的动力学特性有较大的影响.     

考虑周期性波动因素的中长期空中交通流量预测

为准确把握空域单元交通流量的变化趋势和周期性波动规律,综合考虑气候、季节、交通需求等因素,通过分析中长期历史流量数据,在线性增长模型的基础上,建立了考虑周期性波动因素的空中交通流量动态线性改进模型,采用贝叶斯状态估计和预测方法对模型进行求解,提出了一种根据空域单元流量时序数据预测中长期流量及其变化趋势的预测方法.利用国内典型空域单元实际流量数据,对比分析了上述两种模型的预测性能.实例研究表明:与线性增长模型的预测结果相比,本文模型的流量预测结果更符合我国的实际情况,反映了流量周期性波动特点,年流量预测结果的平均绝对误差从3.14%下降到了1.71%,预测误差的标准差从2.01%下降到了0.02%.      

系数变号的二阶非线性常微分方程的正周期解

讨论了其中a(t)可以变号的二阶常微分方程u"(t) a(t)u(t)=f(t,u(t)),t∈R的周期解的存在性问题,利用krasnoselskii锥映射的不动点定理,获得了ω-正周期解的存在性与多重性结果.