Response of a Loaded Nonlinear String to Random Excitation

[+] Author and Article Information
S. T. Ariaratnam

Division of Engineering, Brown University, Providence, R. I.

J. Appl. Mech 29(3), 483-485 (Sep 01, 1962) (3 pages) doi:10.1115/1.3640592 History: Received February 14, 1961; Online September 16, 2011


The response to white noise excitation of a light elastic string loaded at equal intervals by a number of equal masses is examined using the theory of the Markov random process and the associated Fokker-Planck equation. Taking nonlinear effects due to variation in string tension into account, an exact solution of the Fokker-Planck equation is obtained and used in an approximate analytical evaluation of the mean squared response of the system.

Copyright © 1962 by ASME
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