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RESEARCH PAPERS: Design Engineering Papers

The Balancing of Rotating Shafts by Quadratic Programming

[+] Author and Article Information
E. Woomer, W. Pilkey

Department of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, Va.

J. Mech. Des 103(4), 831-834 (Oct 01, 1981) (4 pages) doi:10.1115/1.3254994 History: Received June 01, 1980; Online November 17, 2009

Abstract

The application of quadratic programming methods to the computation of balance weights for rotating shafts is demonstrated. The use of the quadratic programming technique makes possible the minimization of the sum of the squares of the deflections of the balanced shaft when upper bounds have been placed on the magnitudes of the components of the correction weights. A simple shift of coordinates is employed to transform the constraint equations to the standard form necessary for the quadratic program.

Copyright © 1981 by ASME
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