Chaotic Dynamics and Fractals in Material Removal Processes

材料去除过程中的混沌动力学和分形

• 批准号: 9313404
• 负责人: Francis Moon
• 金额: --
• 依托单位: Cornell University
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-10-01 至 1997-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9313404&HistoricalAwards=false
• 关键词: Chaotic; Dynamics; Fractals; Material; Removal

9313404 Moon One of the objectives of the project is to transfer knowledge discovered in the fields of nonlinear dynamics and fractals to applications in material removal processes. In particular, the activity will focus on the physics of material cutting dynamics and the relation between observed chaotic vibrations in machine tools and fractal properties of workpiece surfaces. Modern experimental, computational, and analytical methods in dynamical systems and fractals will be employed on particular machine tool systems such as lathe cutting and milling. The principal aim of the experiments will be to establish a correlation between cutting tool dynamics and surface quality, especially between chaotic vibrations in the tool motions and fractal or random like properties in the surface finish. Nonlinear models for cutting tool dynamics will be investigated both analytically and computationally. These models will incorporate both time delay or regenerative effects as well as material nonlinearity forces in the cutting process. Of particular interest will be the search for coexisting multiple dynamical attractors and their basins of attraction. Experimentally, the goal is to measure the surface roughness both as the material is being removed and in the post dynamics state. Chatter of machine tools is a critical phenomenon that severely limits their productivity. If the chatter process can be better understood, the suppression of unwanted vibration will allow machine tools to take heavier cuts with good surface finish.

9313404月球项目的目标之一是将在非线性动力学和分形学领域发现的知识转化为材料去除过程中的应用。特别是，该活动将侧重于材料切割动力学的物理，以及观察到的机床中的混沌振动与工件表面的分形特性之间的关系。动力系统和分形学中的现代实验、计算和分析方法将应用于特定的机床系统，如车削和铣削。实验的主要目的将是建立刀具动力学和表面质量之间的关系，特别是刀具运动中的混沌振动和表面光洁度中的分形或随机性质之间的关系。刀具动力学的非线性模型将从分析和计算两方面进行研究。这些模型将同时考虑时滞或再生效应以及切割过程中的材料非线性作用力。特别令人感兴趣的将是寻找共存的多个动态吸引子及其吸引盆地。在实验上，目标是测量材料被移除时和后动力学状态下的表面粗糙度。机床颤振是严重限制其生产效率的一种重要现象。如果能够更好地理解颤振过程，抑制多余的振动将使机床能够进行更大的切割并获得良好的表面光洁度。