Publication Date


Document Type


Committee Members

Ramana Grandhi (Advisor), Nathan Klingbeil (Committee Member), Arif Malik (Committee Member)

Degree Name

Master of Science in Engineering (MSEgr)


With the increase in demand for high quality thin gauge metals improvements to control systems that monitor strip characteristics must first be acquired. During the rewinding of sheet metal, little insight is known as to what stresses are attributed to the actual winding process, not simply those induced by the mill. When winding effects become too severe they will alter control system readings, prompting the need for a rapid model that can predict winding effects and filter them from current control systems. This research develops a new method to determine a 4th order Airy function that predicts the 2D stress state of the strip and allows for the filtering of winding effects efficiently and accurately. By using curve fits and function approximations, a polynomial equation can be used to predict the stress field without large scale finite elements or cumbersome Fourier series solutions. The new method is compared to finite element analysis results as well as industry data.

Page Count


Department or Program

Department of Mechanical and Materials Engineering

Year Degree Awarded