A Unified Approach to Analyze Vibration of Rotating Flexible Structures

旋转柔性结构振动分析的统一方法旋转机械在日常生活中随处可见。它们的范围可以从高科技应用(例如喷气发动机)到普通家用电器(例如洗衣机)。在过去的十年里，各个行业的快速技术进步对旋转机械的振动分析提出了更高的要求。例如，高速、高密度硬盘驱动器(HDD)要求精确的转子和外壳的几何设计以满足严格的振动要求，本项目的目的是开发一种统一的方法来分析具有任意几何形状、复杂的转子和定子的轴对称旋转机械的振动。第一部分是将有限元分析与陀螺效应相结合的统一方法的数学发展。第二部分对轴对称转子和非对称转子的统一公式进行了实验验证。第三部分是将统一公式扩展到使用多个旋转部件的系统，如多级涡轮机和承载数十个硬盘的网络存储设备。这项研究具有创新性和革命性，因为它适用于具有任意几何形状和复杂性的旋转机械。对于社会来说，这项研究将帮助许多行业生产出更快、更安静、更可靠和更高效的旋转机械。此外，这项研究将通过非正式的实习生计划、通过工业短期课程进行有效的技术转让、代表不足的学生的积极参与以及改进研究基础设施(例如，披露软件工具、专利和测试设施)来加强教育。

Title: A Unified Approach to Analyze Vibration of Rotating Flexible StructuresRotating machines appear everywhere in our daily life. They could range from high-techapplications (e.g., jet engines) to ordinary household appliances (e.g., washing machines). Forthe past decade, rapid technology advances in various industries call for more accurate vibrationanalysis for rotating machines. For example, high-speed, high-density hard disk drives (HDD)require accurate geometric design of rotors and housings to meet stringent vibration specs.The purpose of this project is to develop a unified approach to analyze vibration of rotatingmachines with arbitrary geometry, complexity, and axisymmetry of the rotors and the stators.The proposed research consists of three parts. The first part is mathematical development of theunified approach integrating finite element analysis and gyroscopic effects. The second part is toverify the unified formulation experimentally for axisymmetric and asymmetric rotors. The thirdpart is to extend the unified formulation to systems that employ multiple rotating components,such as multi-stage turbines and network storage devices hosting dozens of HDD.This research is novel and revolutionary, because it applies to rotating machines witharbitrary geometry and complexity. For the society, this research will help many industriesproduce faster and quieter rotating machines with higher reliability and efficiency. Also, thisresearch will enhance education through an informal intern program, an effective technologytransfer through industrial short courses, active participation of underrepresented students, andimproved research infrastructure (e.g., disclosure of software tools, patents, and test facilities).