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RESEARCH PAPERS

Node Control of Uniform Beams Subject to Various Boundary Conditions

[+] Author and Article Information
L. Weaver, L. Silverberg

Mars Mission Research Center, North Carolina State University, Raleigh, NC 27695-7910

J. Appl. Mech 59(4), 983-990 (Dec 01, 1992) (8 pages) doi:10.1115/1.2894070 History: Received March 07, 1991; Revised July 21, 1991; Online March 31, 2008

Abstract

This paper introduces node control, whereby discrete direct feedback control forces are placed at the nodes of the N+1th mode (the lowest N modes participate in the response). Node control is motivated by the node control theorem which states, under certain conditions, that node control preserves the natural frequencies and natural modes of vibration of the controlled system while achieving uniform damping. The node control theorem is verified for uniform beams with pinned-pinned, cantilevered, and free-free boundary conditions, and two cases of beams with springs on the boundaries. A general proof of the node control theorem remains elusive.

Copyright © 1992 by The American Society of Mechanical Engineers
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