On the Approximation of a Deflection Curve by Force Actuators With Variable Spacing

[+] Author and Article Information
K. Natarajan

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

G. A. Dumont

Pulp and Paper Research Institute of Canada and Department of Electrical Engineering, University of British Columbia, Pulp and Paper Centre, Vancouver, BC V6T 1W5, Canada

M. S. Davies

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

J. Appl. Mech 56(4), 865-867 (Dec 01, 1989) (3 pages) doi:10.1115/1.3176183 History: Received September 08, 1988; Revised January 30, 1989; Online July 21, 2009


In this paper we discuss a suboptimal method of approximating a desired deflection curve of a simple beam by a given number of force actuators. The spacing between the actuators is allowed to vary as a function of the deflection curve. The method is applied to an example of approximation of a deflection curve of the slice lip on a paper machine headbox for the control of the basis weight profile of paper. The approximation error with variable spacing is compared with that obtained when the spacing is not varied (uniformly-spaced actuators). Significant reduction in error is observed.

Copyright © 1989 by ASME
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