Random Excitation of a System With Bilinear Hysteresis

[+] Author and Article Information
T. K. Caughey

California Institute of Technology, Pasadena, Calif.

J. Appl. Mech 27(4), 649-652 (Dec 01, 1960) (4 pages) doi:10.1115/1.3644077 History: Received February 15, 1960; Online September 16, 2011


An analysis is made of the response of a system with bilinear hysteresis to random excitation. It is shown that for moderately large inputs, the additional damping created by the bilinear hysteresis decreases the mean squared deflection compared with that for a linear system with the same viscous damping. However, for large inputs, the decrease in the stiffness of the system due to the bilinear hysteresis causes the mean squared deflection to increase over that for the equivalent linear system.

Copyright © 1960 by ASME
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