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Optimal Formation Problems of Robots by the lagrangian Multiplier method

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Optimal Formation Problems of Robots by the Lagrangian Multi...

Transports of air particulate matters in the atmospheric boundary layer-numerical studies using Eulerian and lagrangian methods

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作者： Jun Liu Xiaoning Ma Ping Li Tianyun Shi Institute of Computing Technologies Chinese Academy of Railway Sciences

ISBN: (纸本)9781538629185

Optimal formation of robots is one of the most important and interesting topics in the fields of robotics,multi-agents,intelligent control and evolutionary computation,*** objective of this paper is mainly to discuss the formation problems by solving the lagrangian method when the number of robots is only equal to 3 and the number of constraints is larger than *** considered objective function is selected to be the sum square distance from points in the initial shape to points in the desired *** importantly,two theorems and the analytic solution on three typical cases are provided to analyze and discuss the typical formation problems with three ***,one theorem is to highlight that the center of the initial shape is equal to that of the desired shape,and the corresponding theorem can improve the efficiency and reduce the optimization dimension of formation problem.

关键词： Optimal formation lagrangian method Objective function Many constraints

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Science China(Physics,Mechanics & Astronomy) 2013年第3期56卷 645-650页

作者： LU Hao WANG Bing ZHANG HuiQiang WANG XiLin School of Aerospace Tsinghua University The State of Key Laboratory of Nonlinear Mechanics

Transports of air particulate matters(PM) from face sources in the atmospheric boundary layer(ABL) are investigated by the Eulerian single fluid model and the lagrangian trajectory method,*** eddy simulation is used to simulate the fluid phase for high accuracy in both two *** mean and fluctuating PM concentrations,as well as instantaneous PM distributions at different downstream and height positions,are *** mean and fluctuating particle concentrations are predicted by the Eulerian approach than the lagrangian *** the lagrangian method,PM distributions cluster near the ground-wall because of the preferential dispersion of inertial particles by turbulence structures in the ABL,while it cannot be obtained by the Eulerian single fluid method,because the two-phase velocity differences are neglected in the Eulerian method.

关键词： air pollution atmosphere boundary layer large eddy simulation Eulerian method lagrangian method

Joint computation offloading and resource allocation in vehicular edge computing networks

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Digital Communications and Networks 2023年第6期9卷 1399-1410页

作者： Shuang Liu Jie Tian Chao Zhai Tiantian Li School of Information Science and Engineering Shandong Normal UniversityJinan250358China School of Information Science and Engineering Shandong UniversityQingdao266237China

Vehicular Edge Computing(VEC)is a promising technique to accommodate the computation-intensive and delaysensitive tasks through offloading the tasks to the RoadSide-Unit(RSU)equipped with edge computing servers or neighboring ***,the limited computation resources of edge computing servers and the mobility of vehicles make the offloading policy design very *** this context,through considering the potential transmission gains brought by the mobility of vehicles,we propose an efficient computation offloading and resource allocation scheme in VEC networks with two kinds of offloading modes,i.e.,Vehicle to Vehicle(V2V)and Vehicle to RSU(V2R).We define a new cost function for vehicular users by incorporating the vehicles’offloading delay,energy consumption,and expenses with a differentiated pricing strategy,as well as the transmission *** optimization problem is formulated to minimize the average cost of all the task vehicles under the latency and computation capacity constraints.A distributed iterative algorithm is proposed by decoupling the problem into two subproblems for the offloading mode selection and the resource *** theorybased and lagrangian-based algorithms are proposed to solve the two subproblems,*** results show the proposed algorithm achieves low complexity and significantly improves the system performance compared with three benchmark schemes.

关键词： Vehicular edge computing Task offloading Matching theory lagrangian method Distributed algorithm

Numerical simulation of magnetic drug targeting with Eulerian-lagrangian model and effect of viscosity modification due to diabetics

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Applied Mathematics and Mechanics(English Edition) 2016年第12期37卷 1631-1646页

作者： M.M.LARIMI A.RAMIAR A.A.RANJBAR Faculty of Mechanical Engineering Babol Noshirvani University of Technology

The targeted drug delivery and targeted drug therapy transport a drug directly to the center of the disease under various conditions and thereby treat it deliber- ately without effects on the body. This paper studies the magnetic drug targeting （MDT） technique by particle tracking in the presence of magnetic field in bifurcation vessels of a healthy person and a diabetes patient. The lagrangian particle tracking is performed to estimate particle behavior under effects of imposed magnetic field gradients along the bifurcation. The results show that the magnetic field increases the volume fraction of particle in the target region, and the efficiency of MDT on a patient with the diabetes disease is better than a healthy person. Also, for the higher magnetic numbers, the flow in the upper branch is strongly affected by the magnetic field.

关键词： bifurcation particle tracking lagrangian method magnetic nano-particles

Development and application of a new random walk model to simulate the transport of degradable pollutants

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Journal of Hydrodynamics 2020年第4期32卷 784-789页

作者： Lin Zhang Li-na Chen Jian-yin Zhou Jia-sheng Wang Qi-hong Yang Long-xi Han Key Laboratory of Integrated Regulation and Resource Development on Shallow Lake of Ministry Education Hohai UniversityNanjing 21009&China College of Environment Hohai UniversityNanjing 210098China Changjiang River Scientific Research Institute Wuhan 430010China College of Agricultural Science and Engineering Hohai UniversityNanjing 210098China Key Laboratory of National Health and Family Planning Commission on Parasitic Disease Control and Prevention Wuxi 214064China Jiangsu Provincial Key Laboratory on Parasite and Vector Control Technology Jiangsu Institute of Parasitic DiseasesWuxi 214064China

To simulate the pollutant transport with seif-purification in inland waters,the widely used random walk model(RWM)is modified to include a source term for the degradation and to consider the impact of land *** source term for the degradation is derived from the assumption of the first-order reaction *** for the new model are determined by a comparison to the analytical *** proposed model is then applied to simulate and analyze the transport of a test pollutant and its spatial distribution in a large reservoir in northeast *** results are obtained,and the effects of the runoff,the flow structure,and the wind on the pollutant transport are *** results may help the risk assessment and the management of the water pollution in inland waters.

关键词： Degradable pollutants inland water lagrangian method random walk model

A Moving Coordinate Numerical method for Analyses of Electromagneto-Mechanical Coupled Behavior of Structures in a Strong Magnetic Field Aiming at Application to Tokamak Structures

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Plasma Science and Technology 2014年第12期16卷 1163-1170页

作者：李炜昕袁振圣陈振茂 State Key Laboratory for Strength and Vibration of Mechanical Structures Xi'an Jiaotong University

Analysis of the electromagneto-mechanical coupling effect contributes greatly to the high accuracy estimation of the EM load of many EM devices, such as a tokamak structure during plasma disruption. This paper presents a method for the numerical analysis of the electromagnetomechanical coupling effect on the basis of Maxwell＇s equations in the lagrangian description and staggered load transfer scheme, which can treat the coupled behaviors of magnetic damping and magnetic stiffness effects at the same time. Codes were developed based on the ANSYS development platform and were applied to solve two typical numerical examples： the TEAM Problem 16 and dynamic behavior analysis of a shallow arch under electromagnetic force. The good consistency of numerical results and experimental data demonstrates the validity and accuracy of the proposed method and the related numerical codes.

关键词： plasma disruption induced eddy current electromagnetic loads electromagneto-mechanical coupling lagrangian method

Optimal resource allocation for transmission diversity in multi-radio access networks:a coevolutionary genetic algorithm approach

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Science China(Information Sciences) 2014年第2期57卷 99-112页

作者： FAN WenHao LIU YuanAn WU Fan Beijing Key Laboratory of Work Safety Intelligent Monitoring Beijing University of Posts and Telecommunications Wireless Communications and EMC Laboratory School of Electronic EngineeringBeijing University of Posts and Telecommunications

The next generation wireless communication systems aim at supporting enhanced diversified network access and data transmission abilities via the cooperative integration and unified management of various radio access technologies(RATs).The resource allocation is the core component leading the network system and mobile terminals to the service robustness and performance *** this paper,a numeric optimization model for optimizing terminals’transmission power and allocated RAT bandwidth for maximizing system capacity is proposed with the focal consideration of the multi-radio transmission diversity for parallel transmission through multiple links from diferent RATs,and diferent terminal characteristics on RAT ***,we design a centralized and periodic scheduling algorithm including an improved coevolutionary genetic algorithm for efciently solving the optimization *** results demonstrate that our propose algorithm can distinctly enhance the system performance and improve the computational efciency.

关键词： multi-radio access radio resource management multi-radio transmission diversity lagrangian method coevolutionary algorithm genetic algorithm

PROBLEM OF HYDRODYNAMIC PRESSURE ON SUDDENLY STARTING VESSEL

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Applied Mathematics and Mechanics(English Edition) 1993年第2期14卷 151-158页

作者：陶明德施小民 Department of Applied Mechanics Fudan University Shanghai

In this paper, lagrangian method is applied to discuss the problem of the hydrodynamic pressure on a suddenly starting vessel. The free surface profile and the coefficients of the hydrodynamic pressure im the vessel wall are obtained. And it is verified that the singularity of the pressure near the free surface is only logarithmic.

关键词： lagrangian method vessel hydrodyiiamic pressure water waves

PREDICTION OF PARTICLE TRANSPORT IN ENCLOSED ENVIRONMENT

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China Particuology 2005年第6期3卷 364-372页

作者： Qingyan Chen Zhao Zhang Air Transportation Center of Excellence for Airliner Cabin Environment (ACER) School of Mechanical Engineenng Purdue University West Lafayette IN 47907 USA

Prediction of particle transport in enclosed environment is crucial to the welfare of its occupants. The prediction requires not only a reliable particle model but also an accurate flow model. This paper introduces two categories of flow models-Reynolds Averaged Navier-Stokes equation modeling （RANS modeling） and Large Eddy Simulation （LES）; as well as two popular particle models-lagrangian and Eulerian methods. The computed distributions of air velocity, air temperature, and tracer-gas concentration in a ventilated room by the RANS modeling and LES agreed reasonably with the experimental data from the literature. The two flow models gave similar prediction accuracy. Both the lagrangian and Eulerian methods were applied to predict particle transport in a room. Again, the computed results were in reasonable agreement with the experimental data obtained in an environmental chamber. The performance of the two methods was nearly identical. Finally the flow and particle models were applied to study particle dispersion in a Boeing 767 cabin and in a small building with six rooms. The computed results look plausible.

关键词： computational fluid dynamics lagrangian method Eulerian method