Dynamics of High-Speed Machining

高速加工动力学

• 批准号: 0104818
• 负责人: Emily Stone
• 金额: $ 8.55万
• 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: 2001
• 资助国家: 美国
• 起止时间: 2001-09-15 至 2004-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0104818&HistoricalAwards=false
• 关键词: Dynamics; Speed; Machining

NSF Award Abstract - DMS-0104818 Mathematical Sciences: Dynamics of High-Speed Machining Abstract DMS-0104818 Stone This grant supports collaboration between a mathematician at Utah State University and an engineer at The Boeing Company to investigate chatter instability in drilling. 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. Drilling itself is one of the least well understood machining processes due to the complex geometry of the cutting surface, and simple linear models of drilling have had limited success. We are developing nonlinear models that incorporate information from finite element models for metal cutting as well as information about vibrational modes of the drill. The resulting models take the form of delay differential equations. We use a combination of conventional engineering techniques and techniques from nonlinear dynamics (e.g. center manifold reduction) to analyze these systems. We will utilize new capabilities in large-scale simulation software and build on previous theoretical work done at Boeing to perform dynamic stability analysis. The award is co-funded by the Dynamic Systems and Control Program and Grant Opportunities for Academic Liaison with Industry (GOALI) Program in the Directorate for Engineering and by the GOALI program through the Office of Multidisciplinary Activities of the Mathematical & Physical Sciences Directorate.Drilling is a crucial machining process in aircraft manufacture: over a million holes may be drilled during the construction of a commercial airplane, and production errors resulting in out-of-tolerance holes can be extremely costly. Improving the precision with which holes may be drilled depends on a detailed understanding of instabilities such as chatter. Beyond the technological importance of this work is the synergy it promotes by supporting collaboration between academic mathematicians and industry engineers. The connection with The Boeing Company is a central part of Utah State University's industrial mathematics program, which provides mathematics students with enhanced training by exposing them to real applications, encouraging group work, and honing communication skills. Another aspect of this project is the development of an active collaboration between researchers at Boeing-Seattle and Dr. Stone and those at Boeing-St. Louis and Dr. Philip Bayly of Washington University. The capabilities of these two groups mesh in a unique way, providing a strong research environment with interlacing thrusts of theory, experiment, and direct numerical simulation. The projects supported by this grant are part of this collaboration, which combines the expertise and facilities of both groups, and will lead to state-of-the-art results capable of enhancing high-speed drilling practices.

NSF Award Abstract - DMS-0104818 Mathematical Sciences：Dynamics of High-Speed Machining Abstract DMS-0104818 Stone该基金支持犹他州州立大学的一位数学家和波音公司的一位工程师之间的合作，以研究钻孔中的颤振不稳定性。 颤振是加工工具和工件之间的自激振荡，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。 由于切削表面的复杂几何形状，钻孔本身是最不容易理解的加工过程之一，并且钻孔的简单线性模型的成功有限。 我们正在开发的非线性模型，结合了金属切削有限元模型的信息以及有关钻头振动模式的信息。 由此产生的模型采取延迟微分方程的形式。 我们使用传统的工程技术和非线性动力学技术（如中心流形减少）的组合来分析这些系统。 我们将利用大规模仿真软件的新功能，并在波音公司以前完成的理论工作的基础上进行动态稳定性分析。该奖项由工程理事会的动态系统和控制计划以及与工业界学术联络的资助机会（GOALI）计划以及数学物理科学理事会多学科活动办公室的GOALI计划共同资助&。钻孔是飞机制造中的一个关键加工过程：在制造商用飞机的过程中，可能钻超过一百万个孔，并且导致超出公差的孔的生产误差可能是极其昂贵的。 提高钻孔精度取决于对颤振等不稳定性的详细了解。 除了这项工作的技术重要性之外，它还通过支持学术数学家和工业工程师之间的合作来促进协同作用。 与波音公司的连接是犹他州州立大学工业数学计划的核心部分，该计划通过将数学学生暴露于真实的应用程序，鼓励小组工作和磨练沟通技巧，为他们提供增强的培训。 该项目的另一个方面是发展波音西雅图公司和斯通博士的研究人员以及波音圣路易斯公司和华盛顿大学的菲利普·贝利博士的研究人员之间的积极合作。 这两个小组的能力以一种独特的方式相结合，提供了一个强大的研究环境，具有理论，实验和直接数值模拟的交织推力。 该赠款支持的项目是这种合作的一部分，它结合了两个小组的专业知识和设施，并将导致能够提高高速钻井实践的最先进的结果。