On the Approximation of a Deflection Curve by Force Actuators

[+] Author and Article Information
K. Natarajan

Department of Electrical Engineering, Lakehead University, Thunder Bay, ON, Canada

G. A. Dumont

Department of Electrical Engineering, University of British Columbia, Vancouver, BC, Canada

M. S. Davies

Pulp and Paper Centre, 2385 East Mall, University of British Columbia, Vancouver, BC V6T 1Z4, Canada

J. Appl. Mech 60(1), 232-235 (Mar 01, 1993) (4 pages) doi:10.1115/1.2900760 History: Received April 10, 1991; Revised August 29, 1991; Online March 31, 2008


In this paper we discuss a method of approximating a deflection curve of a simple beam by means of a given number of equispaced force actuators subject to constraints on the bending moment. The deflection curve is assumed to be specified at a number of equi-spaced points greater than the number of actuators. The method developed minimizes the approximation error in an integral squared sense. The method is applied to an example of approximation of a deflection curve of the slice lip on a paper machine headboxfor the control of basis weight of paper.

Copyright © 1993 by The American Society of Mechanical Engineers
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