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RESEARCH PAPERS: Design Automation Papers

A Minimum Strain Energy Approach for Obtaining Optimal Unbalance Distribution in Flexible Rotors

[+] Author and Article Information
T. F. Conry, P. R. Goglia, C. Cusano

University of Illinois at Urbana-Champaign, Urbana, Ill. 61801

J. Mech. Des 104(4), 875-880 (Oct 01, 1982) (6 pages) doi:10.1115/1.3256451 History: Received December 08, 1981; Online November 17, 2009

Abstract

A method is developed to design for optimal unbalance distribution in a rotor system which has elements that are assembled on the shaft and operates above the first critical speed. This method can also be used for computing the optimal selection of balance weights in specified planes for a rotor with a known distribution of unbalance—the classic balancing problem. The method is an optimization problem where the strain energy of the rotor and its supports are minimized subject to the constraints of the equations of motion of the rotor system at a particular balancing speed. The problem is a quadratic program that has a unique minimum.

Copyright © 1982 by ASME
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