SGER: Nonlinear Self-Excited Vibration Mechanism for Rotating Disks interacting with Fluid-Flow in the Enclosed Environment

SGER：旋转盘与封闭环境中流体流动相互作用的非线性自激振动机制

• 批准号: 0121755
• 负责人: Albert Luo
• 金额: $ 3.02万
• 依托单位: Southern Illinois University at Edwardsville
• 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: 2001-09-01 至 2003-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0121755&HistoricalAwards=false
• 关键词: SGER; Nonlinear; Self; Excited; Vibration

In the proposed project, the nonlinear vibration of rotating disks, induced by fluid-structure interaction, is investigated because rotating disks are extensively used as computer disk drives, turbine disks, automotive disk brakes, and circular machine tools and saws. The objectives of this project are to develop an accurate mathematical model to describe such a nonlinear vibration of rotating disks, and to further determine the corresponding stability for a better understanding of nonlinear dynamics for these fluid-structural systems and the development of control strategies for vibration and instability suppression. To solve the aforementioned problem, the Galerkin method and perturbation approach are used for the reduction of the vibration problem to a dynamical system, and the bifurcation and stability theories in nonlinear dynamical systems are used for obtaining the stability conditions. The work plan includes: the vibration model for disks rotating on the air film close to the rigid wall is developed; the steady state response and stability and bifurcation conditions are obtained, and numerical simulations are completed; and the achieved results and further research directions in this area are summarized.The impact and significance of this research include that the approaches and methodology, and results achieved in this research are applicable for other problems in nonlinear fluid-structure interaction. Additionally the proposed understanding of harmonic vibration, stability and solitary waves in a disk rotating on the air film will bring an improvement of hard-disk drive technology

由于旋转圆盘广泛应用于计算机磁盘驱动器、涡轮机盘、汽车盘式制动器、圆型机床和锯机等，因此本课题主要研究由流固耦合引起的旋转圆盘非线性振动。本项目的目标是开发一个精确的数学模型来描述这种非线性振动的旋转盘，并进一步确定相应的稳定性，以更好地理解这些流体结构系统的非线性动力学和控制策略的发展振动和不稳定性抑制。为了解决上述问题，Galerkin方法和摄动方法用于减少振动问题的动力系统，和非线性动力系统的分岔和稳定性理论用于获得稳定性条件。 工作计划包括：建立了近壁气膜上旋转圆盘的振动模型，得到了圆盘的稳态响应、稳定性和分叉条件，并进行了数值模拟;本研究的影响和意义包括：研究的方法和途径，本文的研究成果对其它非线性流固耦合问题具有一定的借鉴意义。另外，对气膜上旋转磁盘的简谐振动、稳定性和孤立波的理解也将促进硬盘驱动技术的发展