CAREER: Nonlinear Vibrations, Stability and Control of Axially Moving Material in Manufacturing Processes

9625319墨菲这个职业生涯项目强调对系统的行为，利用轴向移动的材料在制造环境中的研究，并在振动和稳定性领域的教育方面。选择线切割电火花加工工艺和高速带锯系统作为研究项目的两个实例。对于前者，采用多模态、三维走丝模型进行了完整的振动和稳定性分析，考察了由火花引起的非均匀热载荷的影响，考虑了多跨耦合和跨导轮耦合的影响，分析了多跨耦合的影响。研究了金属丝的涡动问题，并利用分形维数和李雅普诺夫指数对金属丝的混沌响应进行了表征。类似地，在高速带锯的情况下，研究了嵌入到刀片中的形状记忆合金的使用，以增加高温下的结构刚度。在教育领域，本科生和研究生课程在振动，声学，气动弹性和非线性动力学开发;并鼓励本科生参与PI的研究计划。

9625319 Murphy This CAREER project emphasizes research on the behavior of systems that utilize axially moving materials in a manufacturing environment, and educational aspects in the field of vibrations and stability. A wire electro-discharge machining process, and high speed band saw systems, are chosen as two examples of research projects. For the former, a full vibration and stability analysis is carried out in a multi-mode, three dimensional traveling wire model; the effects of non-uniform thermal loads, caused by sparks, are examined; the effects of multi-span coupling and span guide- wheel coupling are considered; and the wire whirling problem is studied in addition to a characterization of chaotic response of the wire using fractal dimensions and Lyapunov exponents. Similarly, in the case of high speed band saws, the use of shape memory alloys embedded into the blade is investigated to increase structural stiffness at high temperatures. In the educational area, undergraduate and graduate courses are developed in vibrations, acoustics, aeroelasticity, and nonlinear dynamics; and undergraduate students are encouraged to get involved in the PI's research program.***