Metamodel-Based Measurement, Control, and Optimization of Engineered Surfaces

这项拟议的研究为开发有效的测量，控制和优化制造产品表面的方法提供了资金。这个问题是具有挑战性的，由于表现出非平稳性和空间相关性的配置文件的复杂性。一些类型的表面测量是耗时的，使得在线控制不可行，而一些其他类型的表面测量（诸如基于图像的表面测量）提供了大量的数据，使得模型的估计在计算上难以处理。为了优化和自适应控制的目的，需要对制造过程变量进行建模，这使得该问题更具挑战性。在这个项目中，这些挑战是通过提出一种新的易于评估的元模型称为核和回归/插值和开发高效的工程驱动的采样和建模策略。如果成功，这项研究的结果将有助于提高许多制造产品的质量和功能。所提出的研究的应用不限于工程表面。新的元建模方法可以应用于地质学，环境建模和天文学等领域。新的采样策略也适用于其他领域，如在大规模的计算机和仿真实验，这打开了它的应用，以各种各样的问题，在产品设计和制造。该研究的影响也可以超越制造应用，例如改善太阳能电池的表面特性以实现更好的能量转换，以及改善髋关节/牙科植入物的精确表面特性，从而提高生活质量并降低医疗成本。

This proposed research provides funding for the development of efficient methods for measurement, control, and optimization of surfaces of manufactured products. The problem is challenging due to the complex nature of the profiles that exhibit nonstationarity and spatial correlation. Some type of surface measurements are time consuming making the online control infeasible, whereas some other types of surface measurements such as those based on images provide huge amounts of data making the estimation of the models computationally intractable. The need of modeling the manufacturing process variables for the purpose of optimization and adaptive control makes the problem even more challenging. These challenges are addressed in this project by proposing a novel easy-to-evaluate metamodel known as kernel-sum regression/interpolation and developing efficient engineering-driven sampling and modeling strategies. If successful, the results of this research will help improve the quality and functionality of many manufactured products. The applications of the proposed research are not limited to engineered surfaces. The new metamodeling method can be applied in areas such as geology, environmental modeling, and astronomy. The new sampling strategies are also applicable in other areas such as in the large-scale computer and simulation experiments, which open its applications to a wide variety of problems in product design and manufacturing. The impacts of the research can also go beyond the manufacturing applications, such as improving the surface characteristics of solar cell for better energy conversion and improving the precise surface characteristics of hip/dental implants leading to better quality of life and the reduction of healthcare cost.