Estimating the Roots of the Characteristic Determinant for Multicoupled Systems

[+] Author and Article Information
S. Lees

Instrumentation Laboratory, Massachusetts Institute of Technology, Cambridge, Mass.

H. D. Felsenthal

Naval Air Missiles Center, Point Magu, Calif.

E. M. Goldberg

Naval Air Development Center, Johnsville, Pa.

J. Basic Eng 82(1), 87-95 (Mar 01, 1960) (9 pages) doi:10.1115/1.3662561 History: Received September 15, 1958; Online November 04, 2011


A procedure is developed, based on Couchy’s residue theorem, for bounding the undamped natural frequency, damping ratio, and real part of the roots of the characteristic determinant associated with a multicoupled system with several inputs and outputs. The method can lead to a locus of the roots as one or more parameters are varied. The underlying theory is developed and a numerical illustrative example is included.

Copyright © 1960 by ASME
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