Nonlinear Dynamics in Material Removal Processes

DMI-9727809月球这个项目的目标是在实验观察的基础上建立一个低维的数学模型，并使用混沌控制技术来抑制亚临界颤动的性质。这项研究将利用实验和数学方法获得刀具振动的非线性模型，包括刀具运动、速度和热效应的影响。这一研究项目的独特之处在于利用混沌理论和非线性动力学的概念发展了新的刀具颤振诊断和混沌控制技术，以抑制切削动力学中的颤振行为。将收集更多的证据来支持早期研究中的一种理论，该理论表明在正常或非颤振的金属切割中存在混沌动力学。作为非线性建模的一部分，将开发预测和避免亚临界颤振行为的方法。模型的开发将结合热塑性力学和断裂力学的基本力学。将寻求与机床用户和制造商的合作伙伴关系。这项研究将对非线性切削动力学有新的认识，这可能会为工业刀具设计带来新的方法。它可能会产生数学工具，帮助制造商预测、避免或控制刀具在切割金属和非金属时的振动，以改善表面质量。

DMI-9727809 Moon The goal of this project is to develop a low dimensional mathematical model based on experimental observation and to use chaos control techniques to quench the subcritical nature of the chatter. The research will use experimental and mathematical methods to obtain nonlinear models for tool vibration, including the effects of tool motion, velocity and thermal effects. The unique feature of this research project is the use of concepts of chaos theory and nonlinear dynamics in developing new tool chatter diagnostics as well as chaos control techniques to quench chatter behavior in cutting dynamics. Further evidence will be gathered for a theory in an earlier research which indicates that chaotic dynamics is present in normal or non-chatter cutting of metals. As part of the nonlinear modeling, methods will be developed to predict and avoid subcritical chatter behavior. Basic mechanics of thermoplasticity and fracture mechanics will be incorporated in the model development. Partnership with both machine tool users and manufacturers will be sought. The research will develop a new understanding about nonlinear cutting dynamics, which will likely result in new tool design methods for industry. It may result in mathematical tools which help manufacturers predict, avoid or control tool vibrations in cutting of metals and nonmetals to improve surface quality.