University-Industry Cooperative Research in the Dynamics of High-Speed Machining: Senior Research Fellowship

该项目支持PI在波音公司的休假年。本文对高速加工中的颤振不稳定性进行了研究。颤振是加工工具和工件之间的一种自激振荡，它限制了加工操作的生产率，降低了产品质量，缩短了机床寿命。直到最近，所有的颤振模型都是线性的，在再生颤振的情况下具有延迟效应。这些模型只能部分解释加工过程中观察到的不稳定性。目前正在开发非线性模型，并在预测可能部分由低维系统描述的行为方面取得了一些成功。在航空业，这个问题受到了严格的审查，波音公司P.I.S的合作者阿斯卡里博士(Dr.E.Askari)一直在开发金属切割的有限元模型。这项研究的目标是将大规模数值模拟和低维模型这两种技术结合起来。这个项目应该被视为该系建立工业数学课程的努力的一部分，并支持其新设立的工业数学理学硕士学位。新学位的林奇标志是一个行业项目和暑期实习，学生们被带到现有的行业/教师合作中。这种合作的发展将通过PI与波音公司的科学家的参与而得到加强。该项目由MPS多学科活动办公室(OMA)和数学科学部联合支持。

This project supports the PI's sabbatical year at The Boeing Company. The research involves investigations of the chatter instability in high-speed machining. Chatter is a self-excited oscillation between the machining tool and the workpiece that limits productivity of machining operations, reduces the quality of the product and shortens machine tool life. Up until recently all models of chatter have been linear, with delay effects in the case of regenerative chatter. These models only partially explain the instabilities observed in the machining process. Nonlinear models are currently being developed, and have had some success in predicting behavior that may be described in part by low dimensional systems. In the aircraft industry this problem has received intense scrutiny, and the work of the P.I.'s collaborator at Boeing (Dr. E. Askari) has been in the development of finite element models for metal cutting. A union of two techniques, large scale numerical simulation and low dimensional models, is the goal of the research.This project should be viewed as part of the department's efforts to build an industrial math program, and support its newly created Master of Science in Industrial Mathematics. The lynch pin of the new degree is an industry project and summer internship, where students are brought into existing industry/faculty collaborations. The development of such collaborations will be enhanced by the PI's involvement with the scientists at The Boeing Company.This project is jointly supported by the MPS Office of Multidisciplinary Activities (OMA) and the Division of Mathematical Sciences.