Chaotic Motion in a Nonlinear Car Model Excited by Multi-frequency Road Surface Profile

In order to solve the problem that existing non- linear suspension models have not considered chaotic motion in primary and other resonances, and numerical calculation model is too simplified to capture the accurate critical conditions for the chaotic motion, a nonlinear suspension model and its new paths of chaos are investi- gated. Primary resonances, secondary resonances, and combined resonances are performed using multiple-time scales method. Based on the Melnikov functions, the crit- ical conditions for the chaotic motion of the nonlinear system are found, which is 0.246 7 for the primary reso- nance, and 0.338 8 for the secondary resonance. The effects of parameters on chaotic range are considered, and results show that nonlinear stiffness of suspension k2 has the lar- gest impact on the chaotic range while damping coefficient C＋ has the smallest one. The chaotic responses on the area of the primary and secondary resonances are discussed via Lyapunov exponents and numerical integration of the equations of motion. It is found from Lyapunov exponents and Poincare maps that motions are chaos over critical conditions, and has shown two very different paths of chaos on the primary and secondary resonances. Chaotic motion patterns in the primary and secondary resonances are obtained with more accurate critical conditions, whichis a necessary complement to nonlinear study in nonlinear suspension mode.

Multi-Objective Mathematical Model for the Optimal Time to Harvest Sugarcane

In this paper, the sugarcane and sugar industry in Thailand is studied. The government determines the sugarcane prices which is based on the two main factors: 1) weight and 2) commercial cane sugar (standard value equal 10 C.C.S.). Usually, the C.C.S. will increase with time and the weight will decrease. The main purpose of this research is to find the optimal harvest time to maximize revenue and minimize gathering cost. The mathematical model is first formulated under the regulations of the Office of the Cane and Sugar Board (OCSB). The -constraints method is then applied to solve the multi-objective mathematical model. The optimal harvest times in the four regions of Thailand (Northern, Central, Eastern, North-Eastern) for crop years 2012/ 13, 2013/14 and 2014/15 are obtained for comparison.

Monte-Carlo Studies and Computer Modelling of Multi-wavelength Pyrometry

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Expansion modelling of discrete grey model based on multi-factor information aggregation

This paper aims to study a novel expansion discrete grey forecasting model, which could aggregate input information more effectively. In general, existing multi-factor grey forecasting models, such as one order and h variables grey forecasting model （GM （1, h））, always aggregate the main system variable and independent variables in a linear form rather than a nonlinear form, while a nonlinear form could be used in more cases than the linear form. And the nonlinear form could aggregate collinear independent factors, which widely lie in many multi-factor forecasting problems. To overcome this problem, a new approach, named as the Solow residual method, is proposed to aggregate independent factors. And a new expansion model, feedback multi-factor discrete grey forecasting model based on the Solow residual method （abbreviated as FDGM （1, h））, is proposed accordingly. Then the feedback control equation and the parameters＇ solution of the FDGM （1, h） model are given. Finally, a real application is used to test the modelling accuracy of the FDGM （1, h） model. Results show that the FDGM （1, h） model is much better than the nonhomogeneous discrete grey forecasting model （NDGM） and the GM （1, h） model.

A branch-and-bound algorithm for discrete multi-factor portfolio optimization model

In this paper, a new branch-and-bound algorithm based on the Lagrangian dual relaxation and continuous relaxation is proposed for discrete multi-factor portfolio selection model with roundlot restriction in financial optimization. This discrete portfolio model is of integer quadratic programming problems. The separable structure of the model is investigated by using Lagrangian relaxation and dual search. Computational results show that the algorithm is capable of solving real-world portfolio problems with data from US stock market and randomly generated test problems with up to 120 securities.

Mechanisms of Proton-Proton Inelastic Cross-Section Growth in Multi-Peripheral Model within the Framework of Perturbation Theory. Part 1

We demonstrate a possibility of computation of inelastic scattering cross-section in a multi-peripheral model by application of the Laplace method to multidimensional integral over the domain of physical process. Founded the constrained maximum point of scattering cross-section integral under condition of the energy-momentum conservation. The integrand is substituted for an expression of Gaussian type in the neighborhood of this point. It made possible to compute this integral numerically. The paper has two parts. The hunting procedure of the constrained maximum point is considered and the properties of this maximum point are discussed in the given part of the paper. It is shown that virtuality of all internal lines of the “comb” diagram reduced at the constrained maximum point with energy growth. In the second part of the paper we give some the arguments in favor of consideration of the mechanism of virtuality reduction as the mechanism of the total hadron scattering cross-section growth, which is not taken into account within the framework of Regge theory.

Mechanisms of Proton-Proton Inelastic Cross-Section Growth in Multi-Peripheral Model within the Framework of Perturbation Theory. Part 2

We demonstrate a new technique for calculating proton-proton inelastic cross-section, which allows one by application of the Laplace' method replace the integrand in the integral for the scattering amplitude in the vicinity of the maximum point by expression of Gaussian type. This, in turn, allows us to overcome the computational difficulties for the calculation of the integrals expressing the cross section to sufficiently large numbers of particles. We have managed to overcome these problems in calculating the proton-proton inelastic cross-section for production (n ≤ 8) number of secondary particles in within the framework of φ3 model. As the result the obtained dependence of inelastic cross-section and total scattering cross-section on the energy √s are qualitative agrees with the experimental data. Such description of total cross-section behavior differs considerably from existing now description, where reggeons exchange with the intercept greater than unity is considered.

Particle Modeling Based on Interatomic Potential and Crystal Structure: A Multi-Scale Simulation of Elastic-Plastic Deformation of Metallic Material

We formulate a macroscopic particle modeling analysis of metallic materials (aluminum and copper, etc.) based on theoretical energy and atomic geometries derivable from their interatomic potential. In fact, particles in this framework are presenting a large mass composed of huge collection of atoms and are interacting with each other. We can start from cohesive energy of metallic atoms and basic crystalline unit (e.g. face-centered cubic). Then, we can reach to interparticle (macroscopic) potential function which is presented by the analytical equation with terms of exponent of inter-particle distance, like a Lennard-Jones potential usually used in molecular dynamics simulation. Equation of motion for these macroscopic particles has dissipative term and fluctuation term, as well as the conservative term above, in order to express finite temperature condition. First, we determine the parameters needed in macroscopic potential function and check the reproduction of mechanical behavior in elastic regime. By using the present framework, we are able to carry out uniaxial loading simulation of aluminum rod. The method can also reproduce Young’s modulus and Poisson’s ratio as elastic behavior, though the result shows the dependency on division number of particles. Then, we proceed to try to include plasticity in this multi-scale framework. As a result, a realistic curve of stress-strain relation can be obtained for tensile and compressive loading and this new and simple framework of materials modeling has been confirmed to have certain effectiveness to be used in materials simulations. We also assess the effect of the order of loadings in opposite directions including yield and plastic states and find that an irreversible behavior depends on different response of the particle system between tensile and compressive loadings.

基于不同目标函数的WRF-Hydro模型参数敏感性研究

水文与气象预报相结合可以有效提高洪水预报的精度和延长预见期,陆气耦合模型已成为水文气象学者研究的重点。WRF-Hydro模型作为新一代分布式陆气耦合模型在多尺度洪水预报中具有广阔的应用前景,但由于各物理过程参数化方案复杂,模型计算量大,对该模型的参数敏感性研究还不充分,也影响着模型的模拟精度。研究以湿润区的新安江上游屯溪流域为研究对象,构建多个单目标和多目标函数,并结合Morris全局参数敏感性分析方法,探究了WRF-Hydro模型在不同目标函数下的参数敏感性。结果表明:土壤参数(DKSAT、SMCMAX、BEXP)主要影响壤中流和地表径流,对径流量影响显著,尤其DKSAT最为敏感,直接影响水在土壤中的下渗速度,增大时基流量显著增高而洪峰流量则明显降低;产流参数(SLOPE、REFKDT)主要影响地表径流和基流分配,对洪水过程线形状有重要影响;河道汇流参数ManN影响汇流速度并主要控制峰现时间;植被参数MP对于总水量有一定影响;坡面汇流参数OVROUGHRTFAC和地下水参数Zmax则最不敏感。不同目标函数下的参数敏感性顺序和最优参数取值有一定差异,单目标函数中以相对误差为优化目标会更侧重于全年径流总量和低流量部分的模拟精度,而以效率系数和Kling-Gupta系数为目标则更侧重于场次洪水和高流量部分的模拟效果;基于几个单目标函数组合的多目标函数综合考虑了不同目标函数的影响,结果在一定程度上优于单目标函数。研究可为合理确定WRF-Hydro模型参数优化策略提供参考。

Stiffened状态方程下γ-model方法跟踪二维多介质流动

在 Stiffened状态方程下 ,运用 Level-set方程跟踪界面运动变化 ,把界面捕捉的等效方程、Level-set函数和欧拉方程组耦合 ,求解包含比热比和材料参数的耦合形式的流体力学方程组。计算方法采用二阶精度 Wave-propagation算法 ,通过对气体 -液体两种流体的一维 Riemann问题、激波和气泡相互作用以及气液两种流体Richtmyer-Meshkov界面不稳定性问题进行数值模拟 ,抑制了不同介质界面两侧的非物理振荡。

基于多根长馈线天线基站的TDOA定位模型及解法

为解决多基站定位模型中基站之间同步代价高的问题,提出了一种基于多根长馈线天线基站的到达时间差(Time Difference of Arrival,TDOA)定位模型,给出了模型方程和求解方法,该方法将复杂的3对距离差方程组转化为1个一元八次方程,然后采用Aberth-Newton迭代法来迭代求解方程。通过计算机仿真验证了基于多根长馈线天线基站的TDOA定位模型和解法的有效性,并对该模型的多解问题进行了分析,用优化基站布局的方案,解决了定位模型的唯一解问题。本定位模型在覆盖范围数百米时,定位精度可达分米级。

基于灰色关联理论的弧齿锥齿轮磨削表面残余应力影响因素分析

为探究磨削后残余应力沿层深的变化规律,对弧齿锥齿轮磨削过程进行分析,采用虚拟格子法建立随机分布的多磨粒磨削弧齿锥齿轮模型,并设计单因素仿真方案。首先,设计三因素四水平的正交试验;其次,利用灰色关联分析法深入研究磨削参数对残余应力的影响,获得最优磨削参数组合;最后,建立关联度与磨削参数的预测模型,并验证其准确性。研究结果表明,磨削后的齿面呈现残余压应力状态,最大压应力位于次表层,随深度增加逐渐过渡为拉应力并最a_(p) v_(s) v_(w)终趋于零;磨削参数对残余应力的影响排序为(磨削深度)>(磨削速度)>(进给速度)。随着磨削参数的增大,齿面残余应力均有不同程度的增大。

基于Multi-Agent的压风机组控制模型的探讨

针对当前矿井压风系统由于采用滞后控制方式而导致的耗能问题,通过比较当前几种压风机组控制方式的优劣,提出了一种基于Multi-Agent的压风机组控制模型,给出了Multi-Agent模型框架,阐述了模型框架中的每个Agent的功能以及各个Agent之间的交互方式;并对模型仿真的可行性进行了探讨,提出了以面向对象技术和ACL语言对模型进行仿真的思路。

基于multi-agent的第四方物流信息平台结构模型的研究

第三方物流为单个企业带来了物流效益,却不能很好地提高供应链上整体的物流增值价值,在此背景下,第四方物流技术应运而生,它集成了第三方物流的优势并补充了其缺陷。建立的第四方物流信息平台集成了多种服务供应商所拥有的资源、能力和技术,运用multi-agent和AUML建模方法对该平台进行分析与简要设计,通过角色建模、静态建模、动态建模来分析平台结构,借助AUML图来完成建模的图形化设计,最终实现整个供应链上最佳物流方案的制定。

基于Multi-Agent的列控系统复杂运营场景建模与仿真方法研究

针对高铁列控系统的并发性、混成性、交互性等特点,基于列控系统技术规范,结合Multi-Agent理论、Prometheus建模方法以及仿真技术,提出基于Multi-Agent的高铁列控系统复杂运营场景建模与仿真方法。最后,以CTCS-3级列控系统的RBC切换场景为例,构建基于Multi-Agent的RBC切换场景模型,并利用Multi-Agent仿真工具对模型进行仿真。仿真结果表明,该方法能够满足列控系统并发、混成、交互的复杂特性,可为列控系统复杂运营场景建模仿真与安全分析提供技术支撑。

Optimization of train plan for urban rail transit in the multi-routing mode

The train plan of urban rail transit under multi-routing mode can be divided into three parts： train formation, train operation periods and corresponding train counts of each routing in each period. Based on the analysis of passen- ger＇s general travel expenses and operator＇s benefits, the constraints and objective functions are defined and the multiobjective optimization model for the train plan of urban rail transit is presented. Factors considered in the multi- objective optimization model include transport capacity, the requirements of traffic organization, corporation benefits, passenger demands, and passenger choice behavior under multi-train-routing mode. According to the characteristics of this model and practical planning experience, a three-phase solution was designed to gradually optimize the train formarion, train counts as well as operation periods. The instance of Changsha Metro Line 2 validates the feasibility and efficiency of this approach.

基于多模式预报的四川盆地强降水订正方法

四川盆地地形地貌复杂,强降水预报难度大,对模式降水预报产品进行订正,是提升强降水预报质量的重要手段。本文选取2018—2019年发生在四川盆地的35次强降水过程,对ECMWF、CMA_MESO和SWC_WARMS三种模式的24 h强降水预报采用常规评分和空间平移两个方法进行检验,并利用最优评分、多模式集成和位移订正三种方法进行订正试验。结果表明:最优评分订正方法可以有效改善各模式降水预报的强度,而多模式集成订正法可以改进降水落区和极值预报,在此基础上计算位移偏差,根据最优的位移偏差值对降水预报进行位移订正,可以进一步改进强降水落区预报效果。然后利用2020—2021年强降水过程进行订正效果验证,结果显示:经订正后的降水极值预报更接近实况,各量级降水预报评分明显优于单一模式,暴雨和大暴雨预报的TS评分提高率较最优单模式分别可达24.3%和42.8%,订正后空报率基本维持,漏报率显著下降,订正效果良好。

射频异构集成微系统多层级协同仿真建模与PDK技术综述

作为后摩尔技术的可选路径之一,基于异构集成工艺实现的集成微系统具有高集成度、低成本、高性能等优点,引起学术界和工业界的广泛关注。异构集成微系统设计是以系统为中心的多层级协同设计,对传统以晶体管为中心的设计方法和设计流程带来新的挑战,同时对设计环境的开发带来新的要求。本文对射频集成微系统设计中所需的基础器件/结构建模方法、多工艺混合工艺设计套件(Process Design Kit,PDK)技术、以及电路-模块-系统多层级协同仿真等技术最新进展进行综述。

深部地层智能压井多解性分析与优化策略

开发深部地层油气资源时普遍存在地质条件复杂、钻井周期长和井筒压力控制困难等问题,采用智能压井方法结合多源实时信息反馈,可实现井筒内气液分布状态和压力变化规律的实时预测与更新,但不同修正系数组合可能得到相同的压力计算结果,导致模型存在多解性难题。为此,分析了不同历史时间节点解空间形态的演变规律,揭示了模型多解性的本质源于少量数据约束下模型训练的不完善性;并对应建立了基于实时信息序列的模型全局训练优化方法及动态随机种群训练优化方法,测试了其对于模型全局最优解的搜索能力及适用条件。测试结果表明,全局训练优化方法在压井初期能够实现精准调控,但计算耗时较长;而动态随机种群训练优化方法在压井初期与预期值略有差异,但计算耗时较少。根据可用计算资源情况选择合适的训练优化方法,可实现多源实时数据约束下模型关于井筒气液流动规律的深度学习。