Matrix Formulation and Solution of Conveyor Flow Problems.

Abstract

A closed-loop conveyor system having a single loading station, a single unloading station, and discrete, time-varying input and output flows, is analyzed. The sequence of material flow on the return leg of the conveyor is represented by a difference equation. That equation is reduced to a matrix formulation. Incompatibility is related to the eigenvectors and eigenvalues of the matrix involved, and a general solution procedure is given. The ratio r/p, which is the remainder of the ratio conveyor period to work-cycle period, is shown to be an important criterion for compatibility and optimization. An example is worked out and several solutions are presented graphically. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1973
Accession Number
AD0757166

Entities

People

  • Eginhard J. Muth

Organizations

  • University of Florida

Tags

DTIC Thesaurus Topics

  • Conveyors
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Optimization
  • Sequences
  • Unloading

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Military Logistics and Supply Chain Management