AN APPROXIMATION OF FORCE-TORQUE EQUATION IN ROLLING MILLS,

Abstract

After briefly discussing several rolling theories, the report gives a derivation of strip-thickness, roll force, and torque equations. These nonlinear equations are then simplified. All the basic functions are expanded in the three term-power series with respect to the 'mill variables.' A computer program is developed which evaluates the coefficients of the series. The program consists of two main subroutines and allows all the mill coefficients to be obtained in less than 20 seconds on a CDC-1604 computer. The above scheme remains general for any type of metal being rolled. The method of obtaining coefficients which utilizes implicit differentiations made this program considerably faster, simpler and more accurate than any published computational schemes. A numerical example is included. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0699964

Entities

People

  • M. Jamshidi
  • P. Kokotovic

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Computer Programs
  • Computers
  • Equations
  • Mathematics
  • Power Series
  • Procedures (Computers)
  • Rolling Mills
  • Thickness

Readers

  • Calculus or Mathematical Analysis
  • Computer Science.
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).