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机械制造系统物流驱动机理的动力学研究

Dynamics Research on Logistics Driving Mechanism of Mechanical Manufacturing System

【作者】 杨志军

【导师】 周强;

【作者基本信息】 武汉理工大学 , 物流工程, 2018, 博士

【摘要】 随着现代信息技术的快速发展,制造过程的不确定干扰越来越弱,各部分联系越来越紧密,作业配合越来越协调,制造系统状态变化的离散性减弱,连续性增强,这就使得基于不确定性数学的离散事件动态系统理论对制造系统问题的研究显得理论不充分,因此论文结合现代信息技术对制造生产系统的推动、变革和发展,从生产系统物流的规划、资源配置、随机动态过程的研究转向基于系统物流结构、功能和过程的动力学本质和应用研究。论文重新对制造系统的主要物流现象进行了界定和分析,基于非线性系统动力学理论对制造系统的生产物流现象进行了深入的理论分析和仿真研究,分析了制造系统作业任务量与加工工件实体流的相互作用关系,构建了面向时间、空间、状态连续变化的制造系统的生产物流理论框架,建立了单机制造、多机串行制造和多机串/并行制造工件实体流的动力学模型,探讨了生产物流的混沌现象与控制方法,揭示了制造系统生产线工件实体流的振荡机理。论文按照多体结构理论分析了制造系统的物流结构与功能,明确了制造系统与物流系统的基本组成、结构/功能属性,提出了生产系统物流组织的“链束摆荡”和“节束振荡”的两个生产物流作业原理。按照非线性动力学理论对制造物流系统进行了动力学分析,引入多体结构理论和非线性系统动力学理论,提出了制造系统物流动力学的概念,针对制造系统连续/周期物流问题,建立了机械制造系统中的物流动力学模型,提出了制造系统物流动力学分析方法,给出了制造系统物流动力学的Duffing一般数学模型。论文分析了单自由度非自治制造物流系统在任务量激励和环境时变参数激励下的的物流振荡行为和规律,研究了制造系统物流受迫共振的振荡规律,给出了其一次近似解和定常解的稳定性条件。分析了具有自激因素的制造系统物流受迫振动的非线性和振荡行为,给出了非共振与共振两种情况下分别对应的一次近似解和定常解,以及非共振条件下自激振荡条件,进行了共振条件下定常解的稳定性分析。论文研究了由两台机器组成的制造系统进行一种/两种类型零件的串/并行制造的物流非线性动力学问题,利用Hogg-Huberman多agent宏观行为模型拟合具有串/并行结构的制造物流系统的物流动力学行为,拓展了Hogg-Huberman物流动力学模型,按照Hogg-Huberman理论即吸引子稳态理论把物流稳态不动点的寻找过程有效地转化为纳什平衡点的寻找过程,分析了两类并行制造系统的物流稳定性和分叉现象,仿真了在倍周期分叉出现后的物流混沌行为。论文提出了制造物流连续动力系统的时间离散化模型和混沌控制方法。按照制造物流连续动力微分方程与时间离散动力差分方程的映射互换性原理,通过制造物流系统的物流差分结构模型刻画了物流作业的实际过程,给出了装配物流系统的Malthus模型、Verhulst模型、Fibonacci模型、Battle模型等不同物流作业模型,分别进行了模型分析。基于制造系统物流混沌控制的理论,给出了物流混沌控制的理论依据和数学判据。论文最后给出了单自由度串行制造系统和多自由度串/并行制造系统物流动力学数学模型,设计了中间缓冲区,通过制造系统的物流仿真,分析了实际制造过程物流输出的规律与存储空间大小的联系,并且证明了存储空间量存在一个最佳有限值。

【Abstract】 With the rapid and in-depth development of modern manufacturing technology,manufacturing process uncertainty is becoming less,each part of the system ismore closely linked,working cooperation is more coordinated,uncertainty is reduced,discrete decreases and continuityis improved,which makes the research on the manufacturing system based on the theory of discrete event dynamic system has disadvantages in theory metholds,therefore,thisdissertationcombines the promotion,reform and development of modern manufacturing technology to manufacturing production system,studies the dynamic nature and application research based on system logistics structure,function and process instead of production system logistics planning,resource allocation and stochastic dynamic process.In this dissertation the main logistics phenomena are redefined and reanalyzed,based on the dynamics theory of nonlinear system theoretical analysis and simulation on the manufacturing system of production logistics are thoroughly carried out,the interaction between the manufacturing system of working quantity and workpiece entity flow is analyzed,the theoretical framework of manufacturing production logistics system with continuous change of the time,space,state is constructed,the dynamic model for workpiece manufacturing entity flow of a single machine manufacturing and multi-machine serial manufacturing is established,the chaosphenomena and control method of production logistics are discussed,and oscillation mechanism of entity flow of manufacturing systemassembly is discovered.This dissertation analyzes the logistics structure and function of manufacturing system according to multi-body structure theory and the basic composition,defines the structure and function attributes of manufacturing system and logistics system,and puts forward two production logistics operation principle of chain beam swing and section beam oscillation for the logistics organization of production system.According to the nonlinear dynamics theory dynamic analysis of the manufacturing logistics system is carried out,multi-body structure theory and nonlinear dynamics theory are introduced into the study,the concept of manufacturing logistics system dynamics is put forward,for continuous or periodic logistics manufacturing system logistics dynamic model of the mechanical manufacturing system is established,the manufacturing logistics system dynamics analysis method is given,and a general mathematical model of Duffing for logistics dynamic manufacturing system is proposed.This dissertation analyzes logistics oscillation behavior and lawof the single freedom degree non-autonomous manufacturing logistics system under the task excitation and environmental time-variable parameters,studies the resonance oscillation of the logistics system,gives the first approximate solution and the stability conditions of the steady solution.It analyzesthe nonlinear oscillation behavior of auto-excitingmanufacturing logistics system at forced vibration,solves the first approximate solution and steady solution for two cases of non resonance and resonance respectively,as well as non resonance conditions of self oscillation,and analyzes the stability of the steady solution underresonance conditions.This dissertation studies the nonlinear dynamic problems of manufacturing system composed of two machines with one or two types of parts at serial or parallel manufacturing,fits logistics dynamic behavior of serial or parallel manufacturing logistics system structure using Hogg-Huberman multi-agent macro behavior,extends the Hogg-Huberman logistics dynamic model,according to the Hogg-Huberman theory that the attractor the steady state theory of fixed point for steady state logistics process effectively into the Nash equilibrium in the search process,analyzes the stability and bifurcation of two kinds of parallel logistics manufacturing system,and simulatesthe logistics chaos behavior after period doubling bifurcation.In this dissertation,a time discretization model and a chaotic control method for the continuous dynamic system of manufacturing logistics are proposed.According to the interchangeability mapping principle of the manufacturing logistics continuous dynamic differential equation and time-discrete dynamical differential equations,the actual process of logistics operation is described through the manufacturing logistics system logistics differential structure model,and logistics operation models of Malthus model,Verhulst model,Fibonacci model,Battle model are proposed and analyzed respecitively for the the logistics assembly system.Based on the theory of chaos control in the logistics of manufacturing system the theoretical basis and mathematical criterion of the logistics chaos control are given.This dissertationproposes logistics dynamic model for a single freedom degree serial or parallelmanufacturing system,designes the intermediate buffer,analyzes the relation between the logistics output law and the storage space of actual manufacturing through the logistics simulation of manufacturing system,and proves that an best finite value for storage space amount exists.

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