Credal网络在港口生产安全评价中的应用

提出一种基于Credal网络的港口生产安全评价方法。建立了基于Credal网络的安全评价模型,并融合多专家的各种不确定性概率知识进行推理。然后,结合BNT工具箱,给出了Credal网络模型的双向推理算法实现,在诸多不精确局部概率条件下,进行前向的故障预测和后向的诊断分析,并通过对码头前沿机损的安全评价实例说明该评价方法的合理性和有效性。     

港口油品配送系统调度优化的启发式方法

基于带时间窗的车辆路径问题优化理论与方法,首先给出了港口油品配送计划调度满足的数学模型,然后基于智能理论,针对配送时间、空间和配送载重量等限制条件,发展了一系列进行运输路径计划制定的启发式方法,如种子需求选择方法、路径插入可行性检测方法及移动、交换等优化路径方法,来得出最优的港口船舶柴油配送调度方案。最后通过实例验证说明了该文方法的有效性。     

强非线性多自由度自治系统的内共振

基于改进的KBM法,研究了强非线性多自由度自治系统的内共振.求出了极限环的振幅和近似解的表达式.与KBM法比较,该方法的特点是:近似解中包含项中的不再是时间的线性函数,而是时间的非线性函数,它能提高近似解的精度,且应用更广.最后给出一个具体实例,得到了近似解以及相图.和数值结果比较,本文方法具有较高的精度.     

一类强非线性系统共振周期解的渐近分析

强非线性系统经引入参数变换,并在一定的假设条件下,可转化为弱非线性系统．将其解展成为改进的傅立叶级数后,利用参数待定法可方便地求出强非线性系统的共振周期解．研究了Duffing方程的主共振、Van der Pol方程的3次超谐共振和Van der Pol-Mathieu方程的1／2亚谐共振周期解．这些例子表明近似解与数值解非常吻合。     

一类非线性金融系统的数值研究

利用数值模拟的方法研究了一类非线性金融系统的动力学行为.建立了由生产、资金、股份、劳动力四个部分构成的一类非线性金融系统的动力学模型.首先运用四维微分方程来描述由利率、投资需求、价格指数和平均利润率构成的四个状态变量随时间的变化,然后将金融系统简化为四维自治微分方程组.通过对四维自治微分方程组进行数值模拟发现了非线性金融系统的动力学特性,从数值模拟获得的三维相图反映了金融系统的非线性特性.从数值模拟结果发现,在特定的条件下非线性金融系统存在周期运动和混沌运动.除此之外,还观察到参数的改变对四维自治金融系统的非线性特性有着显著的影响.     

Numerical study of a nonlinear heat equation for plasma physics

This paper is devoted to the numerical approximation of a nonlinear parabolic balance equation, which describes the heat evolution of a magnetically confined plasma in the edge region of a tokamak. The nonlinearity implies some numerical difficulties, in particular for the long-time behaviour approximation, when solved with standard methods. An efficient numerical scheme is presented in this paper, based on a combination of a directional splitting scheme and the implicit–explicit scheme introduced in Filbet and Jin [A class of asymptotic preserving schemes for kinetic equations and related problems with stiff sources, J. Comput. Phys. 229 (2010), pp. 7625–7648].     

Long range numerical simulation of short waves as nonlinear solitary waves

A new numerical method has been developed to propagate short wave equation pulses over indefinite distances and through regions of varying index of refraction, including multiple reflections. The method, “Wave Confinement”, utilizes a newly developed nonlinear partial differential equation that propagates basis functions according to the wave equation. These basis functions are generated as stable solitary waves where the discretized equation can be solved without any numerical dissipation. The method can also be used to solve for harmonic waves in the high frequency (Eikonal) limit, including multiple arrivals. The solution involves discretizing the wave equation on a uniform Eulerian grid and adding a simple nonlinear “Confinement” term. This term does not change the amplitude (integrated through each point on the pulse surface) or the propagation velocity, or arrival time, and yet results in capturing the waves as thin surfaces that propagate as thin nonlinear solitary waves and remain 2–3 grid cells in thickness indefinitely with no numerical spreading. With the method, only a simple discretized equation is solved each time step at each grid node. The method can be contrasted to Lagrangian Ray Tracing: it is an Eulerian based method that captures the waves directly on the computational grid, where the basic objects are codimension 1 surfaces (in the fine grid limit), defined on a regular grid, rather than collections of markers. In this way, the complex logic of current ray tracing methods, which involves allocation of markers to each surface and interpolation as the markers separate, is avoided.     

纳米碳管气体放电气敏传感器中随机共振现象的研究

在对某些非线性动力学系统中,存在着随机共振现象,它不是通过消除噪声而是利用噪声来达到检测微弱信号的目的,随机共振是非线性动力系统中的普遍现象,它向人们展示了噪声在非线性体系中的积极作用.本文对纳米碳管气体放电气敏传感器中的随机共振现象进行了研究,利用纳米碳管电极作为气敏传感器阳极,在以空气为目标气体的传感器检测系统中观察到二重随机共振现象.提取放电周期脉冲信号,利用高斯白噪声调制放电周期脉冲信号,输出信噪比的仿真结果与实际观察到的二重随机共振现象一致.     

两自由度非线性系统1:3内共振的渐近摄动分析

提出了一种改进的渐近摄动法,并用该方法研究了同时含平方项和立方项的两自由度非线性系统在1:3内共振情况下的非线性动力学行为.分别在平均方程和原方程的基础上得到了幅频响应曲线和分叉图,对比表明两种结果基本吻合.改进后的渐近摄动法比原有渐近摄动法更容易应用于1:3内共振情况.     

Modeling of surface plasmon resonance nanobiosensor with the transverse resonance method

This article describes a new approach for the detection and identification of a molecular interaction in real‐time and non‐label with surface plasmon resonance (SPR). This approach is based on the transverse resonance method, modeling the nanobiosensor by an equivalent circuit that allows studying the dispersion characteristics of surface plasmon and the reflectivity. The results obtained from these two studies show that the dispersive study is very precise than the reflectivity one to determine the presence and nature of molecular interactions.     

Complex dynamics of functionally graded plates with thermal load in 1:2 internal resonance

Complex dynamics of the simply-supported functionally graded(FG)rectangular plates with thermal load is investigated.Based on Reddy's third-order shear deformation theory and the von Karman nonlinear strain-displacement relations,ordinary differential equations(ODEs)of the plate's transversal oscillation are derived by using Hamilton's principle and Galerkin's approach.Solutions'classification of the equations in 1:2 internal resonance is analyzed.Particular results of a simplysupported aluminum-alumina rec...     

应用随机共振研究一组抗癌药物定量结构活性相关

提出了一种基于随机共振理论的定量构效关系研究方法。随机共振现象中存在着将噪声的能量转移给信号,从而提高信号信噪比的机制,是一种处理噪声信号的有效方法。本文将随机共振算法应用于一组抗艾滋病药物的定量构效关系研究,以普遍存在于分子结构描述子之中的误差和冗余变量为噪声,而将与所研究化合物活性之间相关性较好的分子结构描述子作为信号,通过优化非线性系统的参数,实现了随机共振,达到了抑制误差、增强信号的目的。所建四变量模型的统计特性为：n=34,R~2=0.9601,s=0.29,Q~2=0.9508,F=168.62。结果表明,随机共振方法是一种提高定量构效关系模型性能的有效途径。     

IPEC Solver: Numerical simulation tool to study inter-polyelectrolyte complexation

IPEC Solver is a Windows program designed to analyze the stability of core–shell inter-polyelectrolyte complexes formed by complexation of oppositely charged block copolymers. The two-dimensional size distribution of the complexes composed by different numbers of positively or negatively charged polyelectrolytes is calculated based on the scaling model of block copolymer aggregation and Poisson–Boltzmann theory for electrostatic interactions [V.A. Baulin, E. Trizac, Self-assembly of spherical inter-polyelectrolyte complexes from oppositely charged polymers, Soft Matter 8 (25) (2012) 6755–6766]. Salt effects, charge distribution and distributions of labile cations and anions around the complexes are calculated numerically as a function of chain composition and solvent properties.     

光纤表面等离体激元共振传感器中光传播特性的理论分析

光纤表面等离体激元共振传感器是一种易于小型化的SPR传感器,常用于开发便携式传感检测设备,也可用于远距离实时在线检测.在本研究中,采用特制光纤作为导光介质来制作一种新的光纤SPR传感器.由于光纤中光传播相当复杂.仅凭过往经验来设计传感器将不能保证其检测精度.因此,针对本研究中光纤的特点,建立了光纤中光传播模型,并结合菲涅耳公式推导出该类光纤SPR传感器中光总反射系数与光波长的关系,最终绘制出理论SPR曲线并计算出共振波长.研究结果为该类光纤SPR传感器的设计及光谱分析提供了重要理论依据.     

色噪声激励下三势阱系统逻辑随机共振研究

本文利用基于Simulink的数值模拟方法研究了高斯色噪声激励下三势阱系统的逻辑随机共振现象.首先对于独立的加性和乘性高斯色噪声激励下的三势阱系统,发现仅有加性噪声作用不能实现可靠的逻辑操作,但加性噪声和乘性噪声共同作用可诱导良好的逻辑随机共振现象.和高斯白噪声相比较,高斯色噪声激励下能产生可靠逻辑随机共振的（D,Q）平面上的区域范围更大.进一步讨论了加性和乘性噪声之间的关联对于逻辑随机共振现象的影响,发现噪声关联对逻辑随机共振现象起着破坏性的作用.     

Numerical solutions of a nonlinear reaction-diffusion system

This paper is concerned with finite difference solutions of a coupled system of nonlinear reaction-diffusion equations. The investigation is devoted to the finite difference system for both the time-dependent problem and its corresponding steady-state problem. The existence and uniqueness of a non-negative finite difference solution and three monotone iterative algorithms for the computation of the solutions are given. It is shown that the time-dependent problem has a unique non-negative solution, whereas the steady-state problem may have multiple non-negative solutions depending on the parameters in the problem. The different non-negative steady-state solutions can be computed from the monotone iterative algorithms by choosing different initial iterations. Also discussed is the asymptotic behaviour of the time-dependent solution in relation to the steady-state solutions. The asymptotic behaviour result gives some conditions ensuring the convergence of the time-dependent solution to a positive or semitrivial non-negative steady-state solution. Numerical results are given to demonstrate the theoretical analysis results.     

Numerical study of the one-dimensional coupled nonlinear sine-Gordon equations by a novel geometric meshless method

Engineering with Computers - In the paper, we derive a geometric meshless method for coupled nonlinear sine-Gordon (CNSG) equations. Approximate solutions of the CNSG equations are supposed to be...     

Output transient trajectory shaping control for a class of nonlinear systems

This paper presents a transient trajectory shaping (TTS) control method for the SISO strict feedback nonlinear systems. The TTS control refers to explicitly constraining the system output tracking error transient trajectories within predesigned time‐varying boundaries while they are converging to equilibrium. By this method, the boundaries of system output transient trajectories can be designed a priori according to the system transient control performance requirements in both symmetric and asymmetric ways. With a class of time‐varying boundary functions, control laws can be devised by utilizing the enhanced differential unbounded function techniques. Such control laws can ascertain that the system output tracking errors travel within their respectively predesigned time‐varying boundaries while converging to origin. To handle the control input exaggeration issue in TTS, input constraint control techniques are proposed to effectively reduce the required control input magnitude for second‐order systems. A numerical example is utilized to show the effectiveness of the proposed TTS control methods. Copyright © 2013 John Wiley & Sons, Ltd.     

瞬态磁共振弹性成像的仿真与算法研究

磁共振弹性成像技术可以量化人体组织弹性属性。磁共振弹性成像的弹性波激励方式有稳态和瞬态两种。由于人体组织的特殊性,弹性波在组织中传播情况复杂。文章通过建立一个磁共振弹性成像的有限元仿真平台,对瞬态磁共振弹性成像技术进行数值建模,并针对瞬态磁共振弹性成像设计了基于到达时间的弹性重构算法。通过 MATLAB编程处理仿真得到的瞬态磁共振弹性成像数据,最终导出瞬态磁共振弹性成像的结果。数值平台仿真的稳态和瞬态磁共振弹性成像对比实验表明,瞬态磁共振弹性成像对于反射和衍射具有较好的抗干扰能力,对于深处的小尺寸组织,具有较高的灵敏度和较好的精准度,而基于到达时间的算法能够实现瞬态磁共振弹性成像的弹性重构。     

磁流变减振器的主共振研究

采用一种改进的Bingham模型描述磁流变阻尼力,研究了在弹簧变形量较大时,单自由度磁流变系统的主共振.利用平均法得到了系统的一阶近似解,并进行了数值验证.通过研究各种参数对主共振幅频曲线的影响,可以有效地控制系统的主共振.此外,还对该磁流变减振器和普通减振器在主共振时系统的振幅大小等动态参数进行了比较,结果表明磁流变减振器的减振效果较好.