GOALI/Collaborative Research: Understanding and Controlling Variation Propagation in Periodic Structures: From Geometry to Dynamic Response

这项合作研究的目的是了解和控制产品的几何形状和周期性结构的动态响应之间的变化传播。制造过程本质上是不精确的，生产的产品在几何形状上各不相同。几何形状的变化不仅会间接影响最终组件的适应性，而且在许多情况下还会影响最终产品的功能。在本研究中，我们将建立模型，分析周期性结构的变化传播从制造的零件几何形状，其动态响应，然后提供指导方针，减轻不良的动态响应，通过控制零件几何形状的平均值和变化。 所提出的方法包括两个方向的变化传播分析：（i）在前向预测中，制造产品的几何变化的特征在于基于密集的测量，然后计算动态响应的概率分布。(ii)在反向分析中，使用异常的动态响应作为输入，一组局部几何特征，修改后，可以减轻不期望的动态响应被识别。 如果成功，这项研究将对各种周期性结构产品产生积极影响，包括航空发动机和发电设备中的叶片盘，高速加工中的切削工具和空间天线等，通过与通用电气的合作，这项研究将直接受益于航空航天，汽车和制造业等许多行业，这些行业使用这些周期性结构。通过其综合研究，教育和推广活动，该项目将提供先进的知识，在变异传播和减少学生从高中到研究生院，并将提高国内学生？这将提高我们对科学和工程的兴趣，从而加强我们在全球劳动力中的竞争力。

The objective of this collaborative research is to understand and control the variation propagation between product geometry and its dynamic response in periodic structures. Manufacturing processes are inherently imprecise, producing products that vary in geometry. The geometry variation detrimentally impacts not only the fitness of the final assembly, but also in many cases the functionalities of the final product. In this research, we will model and analyze the variation propagation in periodic structure from the manufactured part geometry to its dynamic response and then to provide guidelines on mitigating the undesirable dynamic response via controlling the mean and variation of part geometry. The proposed methodology includes variation propagation analysis in two directions: (i) In the forward prediction, the geometry variation of the manufactured products is characterized based on dense measurements, and then the probabilistic distributions of the dynamic responses are computed. (ii) In the backward analysis, using the abnormal dynamic response as input, a group of local geometric features that, upon modification, can mitigate the undesirable dynamic response are identified. If successful, this research will positively impact a variety of periodic structural products, including bladed-disks in aero-engines and power generation equipment, cutting tools in high speed machining, and space antenna, etc. Through the collaboration with General Electric, this research will directly benefit a host of industries such as aerospace, automotive and manufacturing industries where these periodic structures are used. Through its integrated research, education and outreach activities, this project will provide advanced knowledge in variation propagation and reduction for students from high schools to graduate schools and will enhance domestic students? interest in science and engineering and therefore strengthen our competitiveness in the global workforce.