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.
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Response of a Loaded Nonlinear String to Random Excitation
S. T. Ariaratnam
Division of Engineering, Brown University, Providence, R. I.
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Ariaratnam, S. T. (September 1, 1962). "Response of a Loaded Nonlinear String to Random Excitation." ASME. J. Appl. Mech. September 1962; 29(3): 483–485. https://doi.org/10.1115/1.3640592
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