Nonlinear Dynamics of Flexible Spinning Discs

柔性旋转盘的非线性动力学

• 批准号: 9610456
• 负责人: N. Sri Namachchivaya
• 金额: $ 17.94万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-06-15 至 2000-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9610456&HistoricalAwards=false
• 关键词: Nonlinear; Dynamics; Flexible; Spinning; Discs

The primary goal of this research project is to investigate the local and global dynamics in the motion of a spinning disc system and to numerically and experimentally verify the theoretical results. The results of this research will be useful in applications such as computer disc memory devices, industrial circular saw blades, and turbine rotor dynamics. The objectives of the research are four-fold. First, the general nonlinear equations of motion governing the disc dynamics will be derived systematically to include the effects due to inherent bending rigidity, membrane stresses arising from centrifugal forces, non-axismmetry of the inplane and transverse displacements, geometric nonlinearities, aerodynamic damping arising from air stationary and moving with respect to the disc, parametric excitation due to time varying spring rate, etc.. Second, is equations, along with symmetry-breaking bifurcations, will also be examined. Third the mechanisms which five rise to global bifurcations in nonlinear spinning disc to identify the important modes, locate the stability boundaries, and examine the nature of the nonlinear response to verity the theoretical predictions. Validation studies will be carried out using actual data from manufacturers of spinning discs. Experimental verification and validation in turn, guide the development and refinement of the theories to incorporate any new phenomena observed.

本研究计画的主要目的是探讨旋转圆盘系统运动的局部与整体动力学，并以数值与实验验证理论结果。这项研究的结果将是有用的应用，如计算机磁盘存储设备，工业圆锯片，和涡轮机转子动力学。研究的目标有四个方面。首先，将系统地导出控制盘动力学的一般非线性运动方程，以包括由于固有弯曲刚度、由离心力引起的膜应力、平面内和横向位移的非轴对称、几何非线性、由相对于盘静止和运动的空气引起的气动阻尼、由于时变弹簧刚度引起的参数激励、等等.第二，是方程，沿着与破缺分岔，也将被检查。第三，研究了非线性旋转圆盘中五种引起全局分岔的机制，以确定重要的模态，确定稳定边界，并研究非线性响应的性质，以验证理论预测。验证研究将使用来自旋转盘制造商的实际数据进行。 实验验证和验证反过来又指导理论的发展和完善，以纳入任何观察到的新现象。