Investigations of the Nonlinear Dynamics of Machining

加工非线性动力学研究

• 批准号: 9973273
• 负责人: Emily Stone
• 金额: $ 6.78万
• 依托单位: Utah State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-09-01 至 2000-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9973273&HistoricalAwards=false
• 关键词: Investigations; Nonlinear; Dynamics; Machining

This grant will facilitate a natural change in the P.I.'s research emphasis to Industrial Mathematics. The shift in her research emphasis from nonlinear dynamics Industrial Mathematics serves both a personal research objective and a leadership objective in the training of employable mathematics students. Industrial Mathematics is still in its early stages as a field and participation in it at this point could increase the P.I.'s influence in the applied mathematics community, with increased potential for leadership roles in future. The research proposed involves investigations of chatter instability in high-speed machining. Chatter is a self-excited oscillation between the machining tool and the work piece that limits productivity of machining operations, reduces the quality of the product and shortens machine tool life. Up until recently, models have been primarily linear, with delay terms in the case of regenerative chatter. 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, andthe work of the P.I.'s collaborator at Boeing (Dr. Abe Askari) has been in the development of finite element models for metal cutting. A union of the two techniques, large scale numerical simulation and low dimensional models, is the goal of the research in this proposal.

这笔拨款将促进P.I.S研究重点向工业数学的自然转变。她的研究重点从非线性动力学转向工业数学，这既是个人的研究目标，也是培养有就业能力的数学学生的领导目标。作为一个领域，工业数学仍处于早期阶段，在这一点上参与进来可能会增加P.I.S在应用数学界的影响力，并在未来发挥更大的领导作用。所提出的研究涉及高速加工中颤振不稳定性的研究。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，模型基本上是线性的，在再生颤振的情况下带有滞后项。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。在飞机行业，这个问题受到了严格的审查，波音公司的私人助理S博士(Abe Askari博士)一直在开发金属切割的有限元模型。大型数值模拟和低维模型这两种技术的结合是本方案研究的目标。