A Unified Approach to Analyze Vibration of Rotating Flexible Structures

题目：分析旋转柔性结构振动的统一方法旋转机械在我们的日常生活中无处不在。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）。在过去的十年中，各个行业的快速技术进步要求对旋转机械进行更精确的振动分析。例如，高速，高密度硬盘驱动器（HDD）要求转子和外壳的精确几何设计，以满足严格的振动规范。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，复杂性和转子和定子轴对称的旋转机械的振动。本研究由三个部分组成。第一部分是结合有限元分析和陀螺效应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采用多个旋转组件的系统，例如多级涡轮机和承载数十个HDD的网络存储设备。这项研究是新颖和革命性的，因为它适用于具有任意几何形状和复杂性的旋转机器。对于社会来说，这项研究将有助于许多行业生产出更快、更安静、更高可靠性和效率的旋转机械。此外，这项研究将通过非正式的实习计划、通过工业短期课程进行有效的技术转移、代表性不足的学生的积极参与和改进的研究基础设施（例如，软件工具、专利和测试设施的披露）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).