Spatial modeling for periodic surfaces in manufacturing
Yang, Yuhang
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https://hdl.handle.net/2142/99197
Description
Title
Spatial modeling for periodic surfaces in manufacturing
Author(s)
Yang, Yuhang
Issue Date
2017-11-14
Director of Research (if dissertation) or Advisor (if thesis)
Shao, Chenhui
Department of Study
Mechanical Sci & Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
Spatial modeling
Variogram
Kriging
Interpolation
Periodic surface
Manufacturing
Ultrasonic metal welding
Abstract
High-resolution spatial data is essential for characterizing and monitoring surface quality in manufacturing. However, the measurement of high-resolution spatial data is generally expensive and time-consuming. Interpolation based on spatial models is a typical approach to cost-effectively acquire high-resolution data. However, conventional modeling methods fail to adequately model the spatial correlation induced by periodicity, and thus their interpolation precision is limited. In this paper, we propose a Bessel-based periodic variogram model, which enables kriging, a geostatistical interpolation method, to achieve accurate interpolation performance for common periodic surfaces. In addition, parameters of the proposed model provide valuable insights for the characterization and monitoring of spatial processes in manufacturing. Both simulated and real-world case studies are presented to demonstrate the effectiveness of the proposed method.
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